ch 12. a sodium nitrate solution is 12.5% NaNO3 by mass and has a density of 1.02 g/mL. calculate the molarity of the solution.
a. 1.44
b. 12.8
c. 6.67
d. 1.50

Answers

Answer 1

Molarity of a solution is an important method which is used to calculate the concentration of a solution. It is defined as the number of moles of the solute present per litre of the solution. Its unit is mol L⁻¹. The correct option is D.

The equation used to calculate the molarity is:

Molarity = Number of moles of the solute / Volume of solution in litres

Here 12.5% means 12.5 g in 100 g of the solution.

Volume = mass / density

100 g / 1.02 g/ml = 98 ml = 0.098 L

The molar mass of NaNO₃ = 85 g/mol

Number of moles of NaNO₃ = 12.5/85 = 0.147 moles

Molarity =  0.147 / 0.098 L = 1.5 M

Thus the correct option is D.

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Related Questions

2c2h6 7o2 -> 6h2o 4co2. 1.45 g c2h6 was burned in the presence of 4.50 g o2. determine the limiting reactant

Answers

The limiting reactant is  C2H6.

To determine the limiting reactant, we need to compare the number of moles of C2H6 and O2 available for the reaction. The balanced chemical equation is:

2C2H6 + 7O2 -> 6H2O + 4CO2

From the equation, we can see that 2 moles of C2H6 react with 7 moles of O2. So, we need to calculate the number of moles of C2H6 and O2 available:

Number of moles of C2H6 = 1.45 g / 30.07 g/mol = 0.048 mol

Number of moles of O2 = 4.50 g / 32.00 g/mol = 0.141 mol

Now, we can compare the number of moles of C2H6 and O2. The limiting reactant is the one that is totally consumed, while the other reactant is in excess.

From the calculations above, we can see that we have less moles of C2H6 than O2. Therefore, C2H6 is the limiting reactant.

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ch 13 the rate constant for a reaction at 25 C is .010s and its activation energy is 35.8 kJ. what is the rate constant at 50C?
a. .021
b. .010
c. .003
d. .031

Answers

The rate constant at 50°C is approximately 0.021 s⁻¹. The answer is a.

The Arrhenius equation relates the rate constant of a reaction to its activation energy and temperature:

[tex]k = Ae^{(-Ea/RT)[/tex]

where k is the rate constant, Ea is the activation energy, R is the gas constant (8.314 J/mol•K), T is the temperature in Kelvin, and A is the pre-exponential factor, which is a constant that depends on the specific reaction.

To find the rate constant at 50°C, we need to convert the temperature to Kelvin:

T = 50°C + 273.15 = 323.15 K

We can then use the Arrhenius equation and the given values to solve for the rate constant at 50°C:

[tex]k_2 = Ae^_(-Ea/RT_2)[/tex]

[tex]= (0.010 s^{-1})e^{(-35,800 J/mol / (8.314 J/mol•K * 323.15 K))[/tex]

= 0.021 s⁻¹

Therefore, the rate constant at 50°C is approximately 0.021 s⁻¹, which corresponds to option A.

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would it be safer to store a chromium(ii) chloride solution in a steel container or a zinc container?

Answers

It would be safer to store a chromium(II) chloride solution in a steel container rather than a zinc container because steel is an alloy primarily composed of iron and carbon.

Chromium(II) chloride is a corrosive substance that can react with metals, and using the appropriate container is crucial for safety and material preservation. In this case, a steel container is the better option because steel is an alloy primarily composed of iron and carbon, which provides enhanced strength and corrosion resistance compared to pure metals. Steel's resistance to corrosion is due to the formation of a passive film on its surface, preventing further deterioration. Additionally, steel containers often have coatings that further increase their resistance to corrosive chemicals like chromium(II) chloride.

On the other hand, a zinc container is more susceptible to corrosion when exposed to chromium(II) chloride. Zinc is an active metal, and its protective oxide layer can be easily disrupted, allowing the chromium(II) chloride solution to attack the metal and compromise the integrity of the container, this reaction could lead to leaks or spills, posing safety hazards and damaging the surrounding environment. In conclusion, for the safe storage of a chromium(II) chloride solution, a steel container is the preferred choice due to its increased strength and corrosion resistance compared to a zinc container.

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Gasohol is a mixture of gasoline and ethanol (grain alcohol), C2H5OH. Calculate the maximum work that could be obtained at 25C and 1 atm by burning 1 mole of ethanol,
C2H5OH(l) + 3O2(g) → 2CO2(g) + 3H2O(g)

Answers

The maximum work that could be obtained at 25°C and 1 atm by burning 1 mole of ethanol is 275.2 kJ/mol.

The maximum work that could be obtained by burning 1 mole of ethanol can be calculated using the Gibbs free energy change (ΔG) of the reaction. The equation for maximum work is:

w_max = -ΔG

To calculate ΔG, we need to know the standard free energy change (ΔG°) and the reaction quotient (Q). At standard conditions (25°C and 1 atm), the standard free energy change for the reaction is:

ΔG° = -123.5 kJ/mol

The reaction quotient Q can be calculated using the concentrations of the reactants and products:

Q = [CO₂]²[H₂O]³ / [C₂H₅OH][O₂]³

At equilibrium, Q = Kc, where Kc is the equilibrium constant. For this reaction, Kc = 0.37 at 25°C and 1 atm.

Using these values, we can calculate ΔG:
ΔG = ΔG° + RT ln(Q/Kc)
   = -123.5 kJ/mol + (8.314 J/mol·K)(298 K) ln(1/Kc)
   = -123.5 kJ/mol + (8.314 J/mol·K)(298 K) ln(2.7)
   = -123.5 kJ/mol - 151.7 kJ/mol
   = -275.2 kJ/mol

Finally, we can calculate the maximum work:
w_max = -ΔG
   = 275.2 kJ/mol

Therefore, the maximum work that could be obtained at 25°C and 1 atm by burning 1 mole of ethanol is 275.2 kJ/mol.

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a 25.0-ml sample of 1.00 m nh3 is titrated with 0.15 m hcl. what is the ph of the solution after 15.00 ml of acid have been added to the ammonia solution?

Answers

The pH of the solution after 15.00 mL of acid have been added to the ammonia solution is 5.63.

25.0 mL of 1.00 M ammonia (NH3) solution is titrated with 0.15 M HCl. After 15.00 mL of acid have been added to the ammonia solution, the pH of the solution can be calculated using the Henderson-Hasselbalch equation. The pH of the solution is 5.63.

The Henderson-Hasselbalch equation can be depicted as follows-

pH = pKb + log10([NH3]/[NH4+]).

In this equation, pKb = -log10(Kb) = -log10(1.8 x 10-5) = 4.74.

[NH3] = 1.00 M  and [NH4+] = 0.15 M.

Substituting these values into the Henderson-Hasselbalch equation, we get pH = 4.74 + log10((1.00/0.15)) = 5.63.

Therefore, the pH of the solution after 15.00 mL of acid have been added to the ammonia solution is 5.63.

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6) How many eggs are needed to make 1 dozen waffles, assuming you have enough of all other ingredients?
Given: 2 cups flour + 3 eggs + 1 tbs oil → 4 waffles
A) 48
B) 9
C) 12
D) 16
E) not enough information

Answers

We need 9 eggs to make 1 dozen waffles. The answer is (B) 9.

To make 1 dozen waffles, we need to find out how many eggs are needed. According to the given equation, 3 eggs are needed to make 4 waffles. Therefore, we can set up a proportion:

3 eggs / 4 waffles = x eggs / 12 waffles

where x is the number of eggs needed to make 12 waffles. Cross-multiplying gives:

4waffles * x eggs = 3 eggs * 12 waffles

4x = 36

x = 9

Therefore, we need 9 eggs to make 1 dozen waffles. The answer is (B) 9.

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A metal object is to be plated with Cr metal by electrolysis of aqueous Cr2(SO4)3. Determine the number of electrons transferred and the total charge per mole of Cr (s) produced.

Answers

3 moles of electrons are transferred and the total charge per mole of Cr(s) produced is 2.894 × 10^5 C during the electrolysis of aqueous Cr2(SO4)3.

To determine the number of electrons transferred and the total charge per mole of Cr(s) produced during the electrolysis of aqueous Cr2(SO4)3, follow these steps:

1. Identify the half-reaction: Cr3+ + 3e- → Cr(s).


2. Determine the moles of electrons transferred: 3 moles of electrons are required for each mole of Cr3+ ions to form 1 mole of Cr(s).


3. Calculate the total charge: Multiply the moles of electrons by the elementary charge (1.602 × 10^-19 C). For 1 mole of electrons, the charge is 1 mol × (1.602 × 10^-19 C/mol) = 9.648 × 10^4 C.


4. Multiply the charge by the number of moles of electrons: 3 moles of electrons × 9.648 × 10^4 C/mol = 2.894 × 10^5 C.

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will the Keq increase or decrease if all the SCN- was not completely converted into FeSCN as assumed in part 1?

Answers

If all the SCN⁻ was not completely converted into FeSCN as assumed in part 1, K(eq) increases.

Generally, for a chemical reaction, the equilibrium constant can be described as the ratio between the amount of reactant and the amount of product that is used to determine the chemical behavior of the chemical reaction. Basically at a particular temperature, the rate constants are constant.

Fe³⁺ + SCN⁻ ⇄ [FeSCN]²⁺

Keq = [FeSCN]²⁺ / ([SCN⁻][Fe³⁺])

If [SCN⁻] was not completely changed Keq decreases. If [SCN⁻] completely changed [SCN⁻] decreases and hence Keq increases.

Hence, in case of incomplete reaction equilibrium constant increases.

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According to nutritional guidelines from the US Department of Agriculture, the estimated average requirement for dietary potassium is 4.7 g. What is the estimated average requirement of potassium in moles?

Answers

The estimated average requirement of potassium in moles is approximately 0.12 mol.

To convert the amount of potassium from grams to moles, we need to use its molar mass, which is approximately 39.1 g/mol.

First, we convert the given amount from grams to kilograms (1 g = 0.001 kg):

4.7 g = 0.0047 kg

Next, we can calculate the number of moles of potassium using the formula:

moles = mass (in kg) / molar mass

moles = 0.0047 kg / 39.1 g/mol

moles ≈ 0.12 mol

This means that an individual should aim to consume at least 0.12 moles (or 4.7 g) of potassium per day to meet their nutritional needs according to the US Department of Agriculture's guidelines.

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The primary target for shaped charge munitions is

Answers

The primary target for shaped charge munitions is armored vehicles.

Shaped charge munitions are designed to penetrate armor, making them particularly effective against armored vehicles. The warhead of a shaped charge contains a cone-shaped metal liner, usually made of copper, that is surrounded by explosives.

When the explosives are detonated, they create a high-velocity jet of molten metal that can penetrate even the thickest armor. The shape of the liner and the design of the explosives are carefully calibrated to maximize the effectiveness of the jet, making shaped charges much more effective at penetrating armor than conventional explosive charges.

While shaped charges can also be used against other targets, such as buildings or bunkers, their primary purpose is to defeat armored vehicles. This makes them a valuable tool for ground forces facing armored opponents, as well as for aircraft and helicopters targeting ground vehicles.

In recent years, shaped charges have been used extensively in conflicts such as the Gulf War, the Iraq War, and the Syrian Civil War, where armored vehicles have played a significant role.

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A 30 mL pycnometer weighs 75g when empty • When filled with water, it weighs 105.5g o Weight of water is 30.5 g (since 105.5 g - 75 g = 30.5) • Empty, clean and fill with the unknown (test) liquid, it now weighs 92.08 g o Weight of equal volume of liquid is 17.08 g (since 92.08g - 75 g = 17.08 g) • Specific gravity is 17.08g/30.5g = 0.560

Answers

A pycnometer is a laboratory instrument used to measure the density of liquids. In this example, a 30 mL pycnometer was used to determine the specific gravity of an unknown liquid.

The pycnometer was first weighed empty, then filled with water, and weighed again to determine the weight of water that filled the 30 mL volume of the pycnometer. The weight of the water was found to be 30.5 g. Next, the pycnometer was emptied, cleaned, and filled with the unknown liquid. The weight of the pycnometer with the unknown liquid was found to be 92.08 g. By subtracting the weight of the empty pycnometer (75 g) from this weight, the weight of an equal volume of the unknown liquid was found to be 17.08 g.

The specific gravity was then calculated by dividing the weight of the unknown liquid by the weight of an equal volume of water. In this case, the specific gravity of the unknown liquid was found to be 0.560.

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NO2(OH) dissolved in water and produced an acidic solution, and Ni(OH)2 dissolved only in an acidic solution. What type of compounds were these?A. Both were oxyacids.B. Both were bases.C. NO2(OH) was a base and Ni(OH)2 was an oxyacid.D. NO2(OH) was an oxyacid and Ni(OH)2 was a base.

Answers

[tex]NO_{2} (OH)[/tex] is a base and [tex]Ni(OH)_{2}[/tex] is a basic oxide that dissolves only in an acidic solution. Option D is correct.

In light of the given data, we can presume that [tex]NO_{2} (OH)[/tex] is a base and [tex]Ni(OH)_{2}[/tex] is an essential oxide.[tex]NO_{2} (OH)[/tex] is probably going to be a feeble base that goes through halfway ionization in water, prompting the development of hydronium particles [tex](H_{3} O^{+} )[/tex] and nitrite particles ([tex]NO_{2}^{-}[/tex]).

Since the arrangement is acidic, this proposes that the centralization of [tex]H_{3} O^{+[/tex]particles is more prominent than that of the [tex]OH^-[/tex] particles.Then again, [tex]Ni(OH)_{2}[/tex] is an essential oxide that responds with an acidic answer for structure nickel particles [tex](Ni_{2} ^{+} )[/tex] and water ([tex]H_{2} O[/tex]). This response demonstrates that [tex]Ni(OH)_{2}[/tex] is a base that can kill a corrosive.

In this manner, we can presume that [tex]NO_{2} (OH)[/tex] is a base and [tex]Ni(OH)_{2}[/tex] is an essential oxide, which is a sort of base that responds with a corrosive to frame water and a salt. In light of this, choice D is the right response.

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how many grams of oxygen, o2 are produced if 74.0g of potassium chlorate, kclo3, decomposes? (the molar mass of o2

Answers

29 grams [tex]O_2[/tex] are produced if 74g of potassium chlorate is decomposed. 2 moles of Potassium chlorate decompose to give 2 moles of KCl and 3 moles of oxygen.

Potassium chlorate on decomposition follows the below equation:

2[tex]KClO_3[/tex] -------Δ-------> 2KCl + 3[tex]O_2[/tex]

Therefore, using stoichiometry, we get:

On the decomposition of 244.8 g of potassium chlorate, 96 g of oxygen is produced. (molar mass of potassium chlorate = 122.4 g and of oxygen = 32g)

Therefore, on the decomposition of 1 g of potassium chlorate, [tex]\frac{96}{244.8}[/tex] g of oxygen is produces

Hence, the decomposition of 74 g of potassium chlorate produces [tex]\frac{96}{244.8}*74[/tex] g of oxygen which comes out to be approximately 29 g of oxygen.

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Phenol is a toxic compound. Melting point = 43'c Boiling point = 182'c a.) state at 25'Cb.) state at 100' Cc.) state at 200'c

Answers

Phenol is a toxic compound with a melting point of 43°C and a boiling point of 182°C.

a) At 25°C, phenol is in a solid state since the temperature is below its melting point. This means that the molecules of phenol are not able to overcome the attractive forces between them, and they are arranged in a rigid crystalline structure.

Phenol in its solid state appears as a white crystalline solid.

b) At 100°C, phenol is in a liquid state, as the temperature is between its melting point and boiling point. This means that the molecules of phenol have enough thermal energy to overcome the attractive forces between them and are able to move past one another, taking up the shape of the container in which it is placed.

Phenol in its liquid state appears as a clear, colorless liquid.

c) At 200°C, phenol is in a gaseous state, as the temperature is above its boiling point. This means that the thermal energy of the molecules of phenol is high enough to completely overcome the attractive forces between them, and the molecules are free to move independently of one another.

Phenol in its gaseous state appears as a colorless gas.

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If you begin with a 48.2 mL of a 0.171 M solution of HNO2, how many grams of NaNO2 would you have to add to the solution for a pH of 3.32. Assume that the addition of NaNO2 is a solid. a. Calculate the concentration of NaNO 3, b. Calculate the grams needed

Answers

The goal is to prepare a buffer solution of HNO₂ and NaNO₂ with a pH of 3.32. The pKa of HNO₂ is 3.35, which is close to the target pH.

Therefore, the ratio of the concentrations of the acid and conjugate base should be close to 1:1 to achieve the desired pH.

a. To calculate the concentration of  NaNO₂ needed, we first need to calculate the concentration of HNO₂ required to prepare the buffer solution.

At pH 3.32, the ratio of [HNO₂] to [NO₂-] should be 1:1, based on the pKa of HNO₂.

pH = pKa + log([NO₂-]/[HNO₂])

3.32 = 3.35 + log([NO₂-]/[HNO₂])

log([NO₂-]/[HNO₂]) = -0.03

[NO₂-]/[HNO₂] = antilog(-0.03) = 0.977

The total concentration of the buffer solution can be calculated using the initial volume of the HNO₂ solution:

Mtotal = moles of solute/volume of solution in L

moles of solute = M x V

moles of HNO₂ = 0.171 M x 0.0482 L = 0.00824 mol

moles of NaNO₂ = moles of HNO2 = 0.00824 mol

The volume of the buffer solution can be calculated using the total moles and the desired total concentration:

Mtotal = moles of solute/volume of solution in L

volume of solution in L = moles of solute / Mtotal

Mtotal = 0.977 x [HNO₂]

0.00824 mol / volume of solution in L = 0.977 x 0.00824 mol / (0.00824 L)

volume of solution in L = 0.00824 mol / (0.977 x 0.00824 mol / 0.00824 L)

volume of solution in L = 0.00824 L = 8.24 mL

The volume of the NaNO₂ solution needed can be calculated using the total volume of the buffer solution and the initial volume of the HNO₂ solution:

volume of NaNO₂ solution in L = total volume of buffer solution in L - initial volume of HNO₂ solution in L

volume of NaNO₂ solution in L = 8.24 mL / 1000 mL/L - 48.2 mL / 1000 mL/L

volume of NaNO₂ solution in L = 0.00824 L - 0.0482 L

volume of NaNO2 solution in L = -0.039 L (Note: This is negative, indicating that no NaNO₂ solution is needed.)

b. Since the volume of the NaNO₂ solution needed is zero, no grams of NaNO₂ are required to be added to the solution.

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which carbons are responsible for the resonances at 174.6, 143.6 and 80.2 ppm in benzilic acid? assign each resonance

Answers

The resonances at 174.6, 143.6, and 80.2 ppm in benzilic acid correspond to the carbonyl carbon of the carboxylic acid group, the α-carbon of the carboxylic acid group, and the carbon atoms directly attached to the oxygen atoms in the benzene rings, respectively.

How to find the resonances in benzilic acid?

In benzilic acid, there are several carbon atoms that can be responsible for the resonances at 174.6, 143.6, and 80.2 ppm.

The resonance at 174.6 ppm corresponds to the carbonyl carbon of the carboxylic acid group (-COOH) in benzilic acid.

The resonance at 143.6 ppm corresponds to the carbon atom adjacent to the carbonyl carbon in the carboxylic acid group, which is also called the α-carbon. This carbon is directly bonded to the carboxylic acid group and to one of the benzene rings in the molecule.

The resonance at 80.2 ppm corresponds to the carbon atoms in the benzene rings of benzilic acid. Specifically, this resonance corresponds to the carbon atoms that are directly attached to the oxygen atoms in the carboxylic acid group.

Therefore, the resonances at 174.6, 143.6, and 80.2 ppm in benzilic acid correspond to the carbonyl carbon of the carboxylic acid group, the α-carbon of the carboxylic acid group, and the carbon atoms directly attached to the oxygen atoms in the benzene rings, respectively.

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The three collagen chains are twisted around each other to form what?

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The three collagen chains are twisted around each other to form a triple helix structure. This triple helix is also known as a tropocollagen molecule, which is the basic building block of collagen fibers.

The three chains, also known as alpha chains, are held together by hydrogen bonds and hydrophobic interactions. The triple helix structure provides collagen with its unique properties such as strength, flexibility, and resistance to deformation.

The arrangement of the chains also allows for the formation of cross-links between tropocollagen molecules, which gives collagen fibers even greater strength and stability.

The triple helix structure is essential to the function of collagen in the body, as it allows for the formation of strong connective tissues like tendons, cartilage, and bone. Any disruption to the triple helix can lead to collagen disorders, which can have significant effects on health and well-being.

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Why must kinetic energy penetrators be handled carefully even if they contain no explosive?

Answers

KE penetrators or kinetic energy projectiles, must be handled carefully even if they contain no explosive because they are designed to penetrate armor by using high velocity and kinetic energy, which can cause significant damage upon impact.

KE penetrators are designed to penetrate armor by using high velocity and kinetic energy. They are typically made of dense materials such as depleted uranium or tungsten and are designed to be aerodynamic to minimize air resistance and maximize velocity.

Upon impact, the kinetic energy of the penetrator is transferred to the target, causing significant damage.

Although KE penetrators do not contain explosives, they can still be dangerous if mishandled. Due to their high density and velocity, they can cause significant damage upon impact with structures or other objects. Additionally, they may be radioactive if made of depleted uranium, which can pose a health risk if proper precautions are not taken.

Therefore, it is important to handle KE penetrators with care, using appropriate safety procedures and protective equipment. This includes wearing gloves, goggles, and other protective gear, and storing the penetrators in a safe and secure location away from other objects.

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63) In human muscle cells, fermentation (by itself) producesA) lactate.B) adenosine triphosphate.C) water.D) pyruvate.

Answers

In human muscle cells, fermentation (by itself) produces lactate. During high-intensity exercise, the demand for ATP increases, and the oxygen supply may not be able to meet the energy requirements. Option(A)

In such conditions, the glucose breakdown continues through glycolysis, producing pyruvate, which gets converted into lactate by the enzyme lactate dehydrogenase (LDH). This reaction generates NAD+ from NADH, which is required to keep glycolysis going, enabling the production of ATP.

Accumulation of lactate in muscles can lead to fatigue, soreness, and cramps. Lactate can also be transported to other organs like the liver, where it can be converted back to glucose through gluconeogenesis.

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How do fatigued human muscle cells repay an "oxygen debt"?The cells increase production of ATP.The cells produce more oxygen.The cells decrease CO2 production.The cells convert glucose to pyruvate.The cells convert lactate back to pyruvate.

Answers

Human muscle cells in fatigue pay back a "oxygen debt" by reverting lactate to pyruvate. Intense exercise causes muscles to utilize more oxygen than body is able to provide, which causes them to start producing lactate as a consequence of anaerobic metabolism.

This causes a buildup of lactate and a drop in pH in muscles, which can both contribute to muscle tiredness. This "oxygen debt" must be paid back by the body after exercise by metabolizing lactate and resetting the pH equilibrium in the muscles. The Cori cycle, which entails converting lactate back into pyruvate in liver, pyruvate being converted to glucose, and then the release of glucose into the bloodstream for utilization as energy by the muscles, achieves this.

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mse how many phases are contained in the sugar water? (ignore the container; consider just the liquid sugar water.)

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Sugar water is a mixture that contains only one phase.

This means that it is a uniform and homogeneous solution in which the sugar molecules are evenly spread out throughout the water molecules, forming a single liquid phase.

The sugar molecules get dissolved in the water, and this creates a solution that has uniform properties throughout. Because of this uniformity, there is no separation or distinction between different phases in sugar water.

In simple terms, you can think of sugar water as a single, smooth mixture that looks and behaves the same throughout, with no visible differences or separate layers.

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What is the correct formula that would
result from the combination of the two ionic species?

Na^1+ and l^1-

A: Nal
B: lNa

Answers

Answer:

The correct formula that would result from the combination of Na^1+ and l^1- ions is NaI.

Explanation:

In this compound, the positively charged sodium ion (Na^1+) and the negatively charged iodide ion (I^-) combine to form an electrically neutral compound, which is written as NaI.

how do sugar form hemiacetals and acetals

Answers

Sugar molecules contain functional groups such as aldehydes and ketones that can react with alcohols to form hemiacetals and acetals.

Hemiacetals are formed when the carbonyl group of a sugar molecule reacts with a hydroxyl group of another molecule, forming a new carbon-oxygen bond and a new hydroxyl group.

This new hydroxyl group is now attached to the same carbon atom as the original carbonyl group, creating a hemiacetal functional group.

Acetals are formed when a hemiacetal reacts with another alcohol molecule, forming a new carbon-oxygen bond and a new alkyl group. This reaction displaces the hydroxyl group, resulting in a new functional group that contains two ether linkages.

However, the formation of hemiacetals and acetals is important in the formation of disaccharides and other complex carbohydrates, as well as in the synthesis of many organic molecules.

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What is the solubility (in M) of PbCl2 in a 0.15 M solution of HCl? The Ksp of PbCl2 is 1.6 × 10⁻⁵

Answers

The solubility (in M) of PbCl₂ in a 0.15 M solution of HCl is found to be  5.1 x 10⁻⁶ M.

The solubility of PbCl₂ in a 0.15 M solution of HCl can be calculated using the common ion effect. When a common ion is added to a solution, the equilibrium solubility of a slightly soluble salt is reduced. In this case, HCl is a strong electrolyte that dissociates completely in water, producing H⁺ and Cl⁻ ions. The addition of Cl⁻ ions from HCl will decrease the solubility of PbCl₂.

The solubility of PbCl₂ in pure water is determined by its solubility product constant (Ksp), which is given as 1.6 x 10⁻⁵. The dissolution of PbCl₂ in water is represented by the equation,

PbCl₂ (s) ⇌ Pb²⁺ (aq) + 2 Cl⁻ (aq)

At equilibrium, the product of the concentrations of Pb²⁺ and Cl⁻ ions in solution is equal to Ksp,

Ksp = [Pb²⁺][Cl⁻]²

Let x be the solubility of PbCl₂ in the presence of 0.15 M HCl. The concentration of Cl⁻ ions in solution will be 0.15 M + 2x (since two moles of Cl⁻ ions are produced for each mole of PbCl₂ that dissolves). The concentration of Pb²⁺ ions will be equal to x, since one mole of Pb²⁺ is produced for each mole of PbCl₂ that dissolves. The solubility product expression for PbCl₂ in the presence of 0.15 M HCl is,

Ksp = [Pb²⁺][Cl⁻]² = x(0.15 M + 2x)²

Solving for x, we get,

x = 5.1 x 10⁻⁶ M

Therefore, the solubility of PbCl₂ in a 0.15 M solution of HCl is 5.1 x 10⁻⁶ M.

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the molar solubility was calculated with and without a common ion. discuss the change in molar solubility after the common ion was added.

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The molar solubility of a substance decreases when a common ion is added due to the common ion effect and the system's response according to Le Châtelier's principle. The system will shift to re-establish equilibrium, leading to a decrease in the dissolved substance's concentration and a decrease in molar solubility.

The molar solubility was calculated with and without a common ion, and we will discuss the change in molar solubility after the common ion was added.

In a solution, the molar solubility is the maximum amount of a substance that can dissolve in a given volume of solvent to form a saturated solution at a particular temperature. When there is no common ion present, the molar solubility is determined solely by the solubility product constant (Ksp) of the substance.

However, when a common ion is added to the solution, the molar solubility of the substance decreases. This decrease occurs due to the common ion effect, which is a consequence of Le Châtelier's principle.

According to Le Châtelier's principle, when a system at equilibrium is subjected to a change in concentration, temperature, or pressure, the system will shift to counteract the imposed change and re-establish equilibrium.

When a common ion is added to the solution, the concentration of one of the ions in the equilibrium expression increases. As a result, the system will shift to counteract the increase in ion concentration, causing the reaction to proceed in the reverse direction.

This leads to a decrease in molar solubility, as more of the substance will remain undissolved in the presence of the common ion.

In summary, the molar solubility of a substance decreases when a common ion is added due to the common ion effect and the system's response according to Le Châtelier's principle. The system will shift to re-establish equilibrium, leading to a decrease in the dissolved substance's concentration and a decrease in molar solubility.

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What intermediate is believed to occur in the elimination-addition nucleophilic aromatic substitution mechanism on benzene?

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In the elimination-addition nucleophilic aromatic substitution mechanism on benzene, a sigma complex intermediate is believed to occur.

The sigma complex intermediate is formed when the nucleophile attacks the benzene ring, displacing a leaving group and forming a cyclic intermediate. The cyclic intermediate contains a sp^3 hybridized carbon atom, which is stabilized by delocalization of the electrons in the benzene ring. The cyclic intermediate then undergoes a series of rearrangements and eliminations to give the final substitution product.

The sigma complex intermediate is an important feature of the elimination-addition mechanism, as it allows for the retention of aromaticity during the reaction. The formation of the intermediate breaks the aromaticity of the benzene ring, but the subsequent rearrangements and eliminations restore the aromaticity of the ring, which is an energetically favorable state.

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pKa for phenophthalein is 9.3 at room temp.
a) Calculate ratio of its anionic form to acid form at pH 8.2 and at pH 10.
b) Using these values, explain the colour change within this pH range.

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Phenophthalein is an acid-base indicator that changes color depending on the pH of the solution. At pH 8.2, the ratio of anionic form to acid form is 0.125, at pH 10, the ratio of anionic form to acid form is 5.012.

Calculate the ratio of its anionic form to acid form at pH 8.2 and at pH 10, we need to use the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

Where [A-] is the concentration of the anionic form and [HA] is the concentration of the acid form. Rearranging this equation, we get:

[A-]/[HA] = 10^(pH-pKa)

Plugging in the values, we get:

At pH 8.2: [A-]/[HA] = 10^(8.2-9.3) = 0.125

At pH 10: [A-]/[HA] = 10^(10-9.3) = 5.012

Based on these values, we can explain the color change within this pH range. At pH 8.2, the ratio of anionic form to acid form is 0.125, which means that there is more acid form present in the solution.

This results in a colorless solution since the acid form of phenophthalein is colorless.

At pH 10, the ratio of anionic form to acid form is 5.012, which means that there is more anionic form present in the solution.

This results in a pink color since the anionic form of phenophthalein is pink.

Therefore, the color change observed in this pH range is due to the shift in the equilibrium between the acid and anionic forms of phenophthalein.

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10) Give the correct formula for aluminum sulfate.A) Al2SO4B) Al(SO4)3C) Al3(SO4)2D) Al2(SO4)3

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The correct formula for aluminum sulfate is (D) Al₂(SO₄)₃.

The chemical compound aluminum sulfate, also referred to as alum, is frequently used in the purification of water, as a mordant in the dyeing and printing of textiles, and in the production of paper. It is an ionic compound made up of sulfate anions (SO₄2-) and aluminum cations (Al3+).

By balancing the charges of the aluminum cation and the sulfate anion, the formula for aluminum sulfate can be found. It takes two aluminum cations to balance the charge of three sulfate anions since the aluminum cation has a charge of +3 and the sulfate anion has a charge of –2. Al₂(SO₄)₃ is the result, which stands for two aluminum cations and three sulfate anions.

The formula for aluminum sulfate can also be written as Al₂O₁₂S₃, which reflects the same compound with a different notation. This is a crucial distinction to make. This symbol highlights the presence of two aluminum atoms, 12 oxygen atoms, and three sulfur atoms in aluminum sulfate.

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Which protein has the highest electrophoretic mobility in SDS-PAGE under non-reducing conditions? (Note: There are no disulfide interactions unless stated in the table.)Protein 1 32 kDa monomerProtein 2 Disulfide-linked homodimer comprised of 19 kDa monomersProtein 3 Homotrimer comprised of 25 kDa monomersProtein 4 Homodimer comprised of 38 kDa monomers

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Since there are no disulfide interactions, the protein with the highest electrophoretic mobility in SDS-PAGE under non-reducing conditions would be the smallest monomer, which is Protein 1 with a molecular weight of 32 kDa.

The other proteins are larger and/or have complex structures such as trimers and dimers, which would result in slower mobility through the gel compared to Protein 1.

SDS-PAGE (Sodium Dodecyl Sulfate-Polyacrylamide Gel Electrophoresis) is a common technique used in biochemistry to separate proteins based on their size. In this technique, proteins are denatured by treatment with SDS, which is a detergent that disrupts non-covalent interactions and unfolds the protein. The SDS also imparts a negative charge to the protein, which allows it to migrate towards the positive electrode during electrophoresis.

During electrophoresis, the protein sample is loaded into a polyacrylamide gel matrix that acts as a molecular sieve.

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if the volume of the reaction vessel in part b is 1.50 l, what amount of br2 (in moles) forms during the first 15.0 s of the reaction?

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The amount of Br2 formed during the first 15.0 s of the reaction is 0.00300 moles.

To answer this question, we need to use the given rate law equation: rate = k[Br-][BrO3-]. We also know that the reaction is second order with respect to Br- and first order with respect to BrO3-.

In part b, we are given that the initial concentrations of Br- and BrO3- are both 0.0200 M. Therefore, the initial rate of the reaction can be calculated using the rate law equation:

initial rate = k[Br-][BrO3-] = k(0.0200 M)(0.0200 M) = 4.00 x 10^-6 M/s

Next, we can use the integrated rate law equation for a second-order reaction to calculate the amount of Br2 formed in the first 15.0 s:

1/[Br-]t - 1/[Br-]0 = kt
where [Br-]t is the concentration of Br- at time t, [Br-]0 is the initial concentration of Br-, and k is the rate constant.
Solving for [Br-]t, we get:

[Br-]t = 1/[kt + 1/[Br-]0]

Plugging in the values, we get:

[Br-]t = 1/[(4.00 x 10^-6 M/s)(15.0 s) + 1/0.0200 M] = 0.0186 M

Since the reaction is 1:1 stoichiometrically between Br- and BrO3-, the amount of Br2 formed in the first 15.0 s is equal to the amount of Br- consumed:

moles of Br2 = (0.0200 M - 0.0186 M)(1.50 L) = 0.00300 mol

Therefore, the amount of Br2 formed during the first 15.0 s of the reaction is 0.00300 moles.

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