what is the sum of the protons, neutrons, and electrons in strontium-90?
a) 90
b) 126
c) 128
d) 218

Answers

Answer 1

The sum of the protons, neutrons, and electrons in strontium-90 is 128, which is answer choice (c).

The notation of strontium-90 indicates that the atomic number of strontium is 38, which means it has 38 protons. The atomic mass of strontium-90 is 90, which means it has 90 total nucleons (protons and neutrons) in its nucleus.

To find the number of neutrons in strontium-90, we can subtract the atomic number (number of protons) from the atomic mass:

number of neutrons = atomic mass - atomic number

number of neutrons = 90 - 38

number of neutrons = 52

Therefore, strontium-90 has 38 protons, 52 neutrons, and 38 electrons (since it is electrically neutral), for a total of:

protons + neutrons + electrons = 38 + 52 + 38 = 128

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Related Questions

Which of the following compounds would most likely be used in preparation of isobutylbenzene from benzene?
A : (CH3)2CHCH2Br
B : CH3CH2CH2CH2Cl
C : (CH3)2CHCH2COCl
D : CH3CH2CH2COCl
E : (CH3)2CHCOCl

Answers

The preparation of isobutylbenzene from benzene involves the alkylation of benzene with isobutyl chloride in the presence of a Lewis acid catalyst. Therefore, the compound needed to prepare isobutylbenzene from benzene would be isobutyl chloride, which can be represented as (CH3)2CHCH2Cl.

Option A, (CH3)2CHCH2Br, is not the correct compound since it contains a bromine atom instead of a chlorine atom and is not isobutyl chloride.

Option B, CH3CH2CH2CH2Cl, is not isobutyl chloride but rather n-butyl chloride.

Option C, (CH3)2CHCH2COCl, is a different type of compound known as an acid chloride and would not be used in the alkylation of benzene to form isobutylbenzene.

Option D, CH3CH2CH2COCl, is also an acid chloride and is not the correct compound needed for the alkylation of benzene.

Option E, (CH3)2CHCOCl, is not isobutyl chloride but rather tert-butyl chloroformate.Therefore, the correct answer is A: (CH3)2CHCH2Cl.

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What is the period of the voltage source that operates the plasma pencil?

Answers

The plasma pencil is a device that generates non-thermal plasma, and its operation typically involves a high-frequency voltage source.

The period of a voltage source refers to the time it takes for one complete cycle of its output waveform.The exact period of the voltage source for a plasma pencil can vary depending on its design and application. To determine the period, you would need to know the frequency of the voltage source (f). You can calculate the period (T) using the formula:

T = 1/f

Where T is the period, and f is the frequency of the voltage source in Hertz (Hz).

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Final answer:

The period of a voltage source for a plasma pencil depends on its operating frequency, the period being the inverse of the frequency. The time taken for one complete cycle signifies the period.

Explanation:

The period of a voltage source that operates the plasma pencil would depend on the frequency at which the voltage source is operating. The period (T) is the reciprocal of the frequency (f), given by the formula T = 1 / f. Therefore, if we know the frequency at which the voltage source is operating, we can find the period. For instance, if our voltage source operates at a frequency of 100 Hz, our period would be 1/100 or 0.01 seconds, which means our voltage source completes one full cycle every 0.01 seconds.

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Do motifs allow us to predict anything about the biological fxn of the protein?

Answers

Yes, motifs can reveal important details about a protein's biological function. The presence of a particular motif in the sequence or structure of a protein can indicate the protein's possible biological activity or involvement since motifs are brief, conserved sequences or structural elements that are frequently linked to particular functions or interactions.

For instance, the presence of a DNA-binding motif in a protein sequence, such as the helix-turn-helix (HTH) motif, can imply that the protein may control gene expression by binding to particular DNA sequences. Similar to this, the presence of a kinase motif in a protein sequence, such as the protein kinase domain, may indicate that the protein is involved in phosphorylation-dependent signaling pathways.

The function of uncharacterized proteins can also be predicted via motif analysis, and new uses for existing proteins can be found. For instance, the presence of a protein-protein interaction motif, like the SH3 domain, in a sequence of a protein that has not yet been characterised can imply that the protein might interact with other proteins in a certain way.

Overall, even while the existence of a motif by itself cannot definitively reveal how a protein functions biologically, it might offer helpful hints and suggestions for additional experimental inquiry.

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Are there other helical structures found in proteins? If so, how are they often found and what do they sometimes do?

Answers

Yes, there are several other helical structures found in proteins besides the well-known alpha-helix.

1) 3_10-helix: With 3.0 residues per turn and a hydrogen bond pattern that is displaced by one residue in comparison to the alpha-helix, this helix is shorter and more tightly coiled than the latter. Proteins' loop sections frequently contain 3_10-helices, which can interact with other proteins.

2) Pi-helix: With a hydrogen bonding arrangement that is two residues different from the alpha-helix and a more open and stretched helical structure, this is an uncommon helix structure. Only a small number of proteins include pi-helices, which are hypothesized to be involved in protein-ligand binding.

3) Coiled-coil: This is an intertwined helical structure made of two or more alpha helices. Protein interactions frequently involve coiled-coils, which can give proteins structural stability.

TThese helical structures are frequently present in proteins as secondary structural components and are crucial for the folding, stability, and functionality of proteins. For instance, the collagen helix provides the tensile strength required for connective tissues to withstand stretching and tearing, whereas the coiled-coil shape is vital for the stability of many fibrous proteins, such as keratin in hair and nails.

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ch 12. a solution contains 22.4 g glucose dissolved in .5 L of water. what is the molality of the solution? assume a density of 1.00 g/mL for water.
a. .238
b. 44.8
c. .249
d. 4.03

Answers

The molality 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 1000 g or 1 kg of the solvent. The molality of the solution is 0.249. The correct option is C.

Here molar mass of glucose = 180 g /mol

The number of moles (n) = Given mass / Molar mass

n = 22.4 g / 180 g /mol = 0.124

Amount of kilograms of the solvent in 0.500 L = 500 mL:

500 mL × 1 g / mL × 1 kg / 1000 g = 0.5 kg

Molality of glucose:

m = 0.124 / 0.5 = 0.248 ≈ 0.249

Thus the correct option is C.

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true or false Given the following generic equation, 2 A + 3B → A2B3 △H rxn = +444 kJ, if you completely reacted 1 mole of compound A, the amount of heat absorbed would be 222 kJ.

Answers

Thus, if you completely reacted 1 mole of compound A, the amount of heat absorbed would be 222 kJ.

How to determine the amount of heat absorbed?

The statement "Given the following generic equation, 2 A + 3B → A2B3 ΔH rxn = +444 kJ, if you completely reacted 1 mole of compound A, the amount of heat absorbed would be 222 kJ" is true.

1. Examine the balanced equation: 2 A + 3B → A2B3 ΔH rxn = +444 kJ
2. The ΔH rxn is the heat absorbed or released for the reaction per 2 moles of compound A (based on the balanced equation).
3. Determine the heat absorbed for 1 mole of compound A:
  Heat absorbed = (ΔH rxn / moles of A) * desired moles
  Heat absorbed = (+444 kJ / 2 moles) * 1 mole
  Heat absorbed = 222 kJ

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If one were to construct an electrochemical cell consisting of two Zn2+/Zn electrodes at two different concentrations, the more concentrated cell will be the _____.

Answers

The more concentrated cell consisting of two Zn2+/Zn electrodes will be the anode.

What factors affect Electrochemical cell?

If one were to construct an electrochemical cell consisting of two Zn2+/Zn electrodes at two different concentrations, the more concentrated cell will be the anode.
In an electrochemical cell with two Zn2+/Zn electrodes at different concentrations, the more concentrated cell will act as the anode. The reason for this is that the higher concentration of Zn2+ ions will cause the electrode to undergo oxidation more readily, releasing electrons and forming Zn2+ ions. The less concentrated cell will act as the cathode, where Zn2+ ions will gain electrons and reduce back to Zn. This process establishes a flow of electrons through the external circuit, generating an electric current.

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2˙ or 3˙ alcohol + H₂SO₄ or H₃PO₄

Answers

When a 2° or 3° alcohol reacts with either H₂SO₄ or H₃PO₄, an elimination reaction takes place, resulting in the formation of an alkene and a molecule of water. This is commonly known as the dehydration of alcohols.

The reaction mechanism involves the protonation of the alcohol molecule by the acid, followed by the loss of a molecule of water to form a carbocation intermediate.

The carbocation intermediate then undergoes deprotonation by a nearby base to form an alkene.

For example, if 2-methyl-2-propanol (a 2° alcohol) is treated with concentrated H₂SO₄, the following reaction takes place:

CH₃C(CH₃)OH + H₂SO₄ → CH₃C=CH₂ + H₂O + H₂SO₄

Similarly, if 2-methyl-2-butanol (a 3° alcohol) is treated with concentrated H₃PO₄, the following reaction takes place:

(CH₃)₃COH + H₃PO₄ → (CH₃)₂C=CH₂ + H₂O + H₃PO₄

It's worth noting that the reaction with H₂SO₄ is generally more common and produces a more stable alkene product due to the involvement of sulfuric acid's strong electrophilic properties.

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The atmospheric concentration of carbon dioxide increased from 278ppm in 1790 to 383ppm in 2007; What is the approximate percent increase in carbon dioxide concentration from 1790 to 2007?38%50%92%105%138%

Answers

The approximate percent increase in atmospheric concentration carbon dioxide concentration from 1790 to 2007 is 38%.

To calculate the percent increase in carbon dioxide concentration from 1790 to 2007, we can use the following formula:

percent increase = (final value - initial value) / initial value x 100%

Using the given values, we have:

percent increase = (383 - 278) / 278 x 100% ≈ 37.8%

Therefore, the approximate percent increase in carbon dioxide concentration from 1790 to 2007 is 37.8%, which is closest to option A, 38%.

It's important to note that this calculation assumes a constant rate of increase over the entire period, which may not be accurate. However, it provides a rough estimate of the magnitude of the increase in carbon dioxide concentration over this time period.

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All bytecode files end with what suffix?

Answers

In .python, bytecode files generated by the interpreter end with the extension ".pyc". This stands for "Python compiled file".

When a Python module is imported, the interpreter checks if there is a corresponding ".pyc" file in the same directory as the ".py" source file.

If the ".pyc" file is found and is newer than the corresponding ".py" file, the interpreter will load the ".pyc" file instead of recompiling the ".py" source file.

This can save time when running Python programs, as the compilation step can be skipped if the bytecode is already available.

However, note that the ".pyc" files are not guaranteed to be platform-independent and may not be compatible between different versions of Python.

The ".pyc" file contains the bytecode instructions, as well as some metadata about the module, such as the source file's path, the modification time of the source file, and the Python version used to generate the bytecode.

The metadata is used by the interpreter to determine whether the ".pyc" file is up-to-date with the corresponding source file, and whether the ".pyc" file can be used instead of recompiling the source file.

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helium is used to inflate a weather balloon from an initial volume of 2,280l to a final volume of 5,710l under constant temperature and pressure. the final volume contains 255mol of helium. how many moles of helium were added to the balloon? report your answer with three significant figures

Answers

The moles of helium that were added to the balloon are 102 mol.

A mole is defined as the amount of substance containing the same number of atoms, molecules, ions, etc. as the number of atoms in a sample of pure 12C weighing exactly 12 g.

Given,

Initial Volume = 2280L

Final Volume = 5701L

Final moles = 255 mol

Using the ideal gas equation, V₁/n₁ = V₂/n₂

                                         2280 / n₁ = 5710 / 255

                                     n₁ = (255 × 2280) ÷ 5710

                                           = 101.8 mol = 102 mol

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Calculate the amount of heat needed to convert 96 g of ice at –24°C to water at 28°C. The specific heat capacity of H2O(s) is 2.1 J/g•ºC

Answers

The thermal energy required to turn 1 kilogramme of ice at 10 degrees Celsius to water at 100 degrees Celsius is 7,77,000 J.

How is the heat change in ice calculated?

Consider how much energy is required to melt a kilogramme of ice at 0oC in order to generate a kilogramme of water at 0oC. Using the temperature change equation and the water value from Table 1, we calculate Q = mLf = (1.0 kg)(334 kJ/kg) = 334 kJ as the energy required to melt a kilogramme of ice.

Because a calorie contains 4.184 joules, the specific heat of water is 4.184 J/g-K.

It is also possible to define how easily a substance acquires or loses heat.

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Describe how an imine can switch to an enamine.
...tautomerism.

Answers

An imine can switch to an enamine through a process known as tautomerism. Tautomerism is a type of isomerism where a molecule can exist in two different forms that are in equilibrium with each other.

In the case of imines and enamines, the nitrogen atom in the imine can undergo protonation, resulting in the formation of an iminium ion.

This iminium ion can then undergo deprotonation to form an enamine, where the nitrogen is now doubly bonded to a carbon atom.

The imine and enamine forms of the molecule are in equilibrium with each other, and the conversion between the two forms is driven by factors such as the pH of the solution and the presence of other chemical species that can act as proton donors or acceptors.

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Answer the following questions using the unbalanced chemical equation. The final answers will be
answered to three significant digits. SHOW ALL WORK!
C3H8 +
O₂ →
H₂O +
CO2
1) If 28.0 grams of C3Hs react with 45.0 grams of Oz gas how many grams of water can be formed
(theoretical)? What are the limiting and excess reactants? How many grams of the excess
reactant remain when the reaction stops? If 12.6 grams of water are actually produced, what is
the percent yield of water?
Honors (required) and bonus for all others: How much more of the limiting reactant is required to
completely use up the excess in moles?

Answers

Answer: 0on

Explanation:

The BLU-91/B submunitions is used against what type of target?

Answers

The BLU-91/B submunitions are typically used against armored or fortified targets such as tanks, bunkers, or buildings. These submunitions are designed to penetrate thick armor and cause significant damage to the target.

The BLU-91/B is a cluster bomb that contains a number of individual explosives submunitions that are released in mid-air and spread over a wide area. Each submunition is equipped with a shaped charge that is capable of penetrating even heavily reinforced targets. Overall, the BLU-91/B is a highly effective weapon that is used to take out heavily defended enemy positions.

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how many Ti atoms are contained in 7.80 g of Ti?

Answers

There are approximately 9.80 x 10^22 Ti atoms contained in 7.80 g of Ti.

To calculate the number of Ti atoms in 7.80 g of Ti, we need to use Avogadro's number, which is the number of atoms in one mole of a substance.

The atomic mass of Ti is 47.867 g/mol, which means that one mole of Ti contains 6.022 x 10^23 atoms.

We can use this information to calculate the number of moles of Ti in 7.80 g by dividing the mass by the atomic mass:

7.80 g Ti / 47.867 g/mol = 0.1629 mol Ti

Now we can calculate the number of Ti atoms by multiplying the number of moles by Avogadro's number:

0.1629 mol Ti x 6.022 x 10^23 atoms/mol = 9.80 x 10^22 Ti atoms

Therefore, in 7.80 g of Ti there are approximately 9.80 x 10^22 Ti atoms.

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How many moles of sucrose, C12H22O11, are in a 25-g sample of sucrose?

Answers

There are 0.069 moles of sucrose in a 25-g sample.

To calculate the number of moles of sucrose in a 25-g sample, we need to use the molar mass of sucrose, which is 342.3 g/mol.

We can use the following formula to calculate the number of moles:

moles = mass/molar mass

Substituting the given values, we get:

moles = 25 g / 342.3 g/mol = 0.069 mol

Therefore, there are 0.069 moles of sucrose in a 25-g sample.

Sucrose is a disaccharide made up of glucose and fructose. It is commonly known as table sugar and is widely used as a sweetener in food and beverages.

The molar mass of sucrose is calculated by adding the atomic masses of all the atoms in the molecule. In this case, the molar mass is the sum of the atomic masses of 12 carbon atoms, 22 hydrogen atoms, and 11 oxygen atoms.

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what is the total number of completely filled principal energy levels in an atom of argon in the ground state

Answers

The total number of completely filled principal energy levels in an atom of argon in the ground state is three.

Argon has an atomic number of 18, which means it has 18 electrons in its electron configuration. The electron configuration follows the order of 1s², 2s², 2p⁶, 3s², and 3p⁶.

The principal energy levels are represented by the first number in the electron configuration (n = 1, 2, and 3 in this case). Each energy level can accommodate a certain number of electrons. The first energy level (n=1) can hold up to 2 electrons, the second energy level (n=2) can hold up to 8 electrons, and the third energy level (n=3) can hold up to 18 electrons.

In argon's ground state, the first energy level is filled with 2 electrons in the 1s² orbital, the second energy level is filled with 8 electrons in the 2s² and 2p⁶ orbitals, and the third energy level is filled with 8 electrons in the 3s² and 3p⁶ orbitals. All these energy levels are completely filled, and no more electrons can be added without moving to a higher energy level (excited state). Therefore, in an atom of argon in its ground state, there are three completely filled principal energy levels.

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What is diffusion trapping of ammonium?Ammonia is lipidophilic which allows it to freely move into the tubular lumen between cells. When ammonia is used to buffer in the kidneys it combines with H+ in the lumen to form ammonium. Ammonium is not lipidophilic which causes it to be trapped in the lumen for excretion.

Answers

Diffusion trapping of ammonium refers to a process that occurs in the renal tubules of the kidneys, where ammonium ions (NH4+) are actively secreted into the tubular lumen against their concentration gradient.

Once in the lumen, NH4+ can diffuse freely along its concentration gradient back into the renal cells due to the high permeability of the cell membrane to NH4+. However, once inside the cell, NH4+ is rapidly trapped by combining with secreted protons (H+) to form ammonia (NH3) and water (H2O), a process known as diffusion trapping.

The ammonia (NH3) formed can then diffuse back across the cell membrane and into the lumen, where it can be excreted in the urine, helping to regulate acid-base balance in the body.

This process of diffusion trapping of ammonium helps to enhance the secretion of ammonium ions into the urine, aiding in the body's ability to excrete excess acid and maintain proper acid-base balance.

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In the alpha helical conformation all of the side chains lie where? where is the alpha carbon located?

Answers

In the alpha helical conformation, all of the side chains lie outward from the helix, while the alpha carbon is located at the center of the helix.

This allows for optimal hydrogen bonding between the carbonyl group of one amino acid and the amide group of the next amino acid in the helix, resulting in the stable and compact helical structure.

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What is permeable for a descending and ascending loop of Henle?

Answers

The loop of Henle plays a crucial role in maintaining the concentration of solutes and water in the body, and the differing permeabilities of its descending and ascending limbs are essential to this process.

The descending limb of the loop of Henle is permeable to water but not to salt or other ions. As the filtrate travels down the descending limb, water is reabsorbed into the bloodstream, resulting in a more concentrated filtrate.

The ascending limb of the loop of Henle is impermeable to water but actively transports sodium, potassium, and chloride ions out of the filtrate and into the interstitial fluid surrounding the nephron. This creates a concentration gradient that enables the reabsorption of water from the collecting ducts that follow the loop of Henle.

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Calculate the pressure exerted by b) 7.91 L of NO2 containing 0.885 mol at 280K. ANswer in units of atm

Answers

The ideal law of gases can be used to determine how much pressure a particular amount of NO2 will exert.  7.91 L of nitrogen dioxide at 280 K with 0.885 mol of pressure equals 2.38 atm.

How much is it exactly?

However, the mole is a useful unit in several chemical calculations since it enables chemists to quickly connect the variety of particles in an object to its volume or mass. The weight of a chemical can also be stated in other parts, such as grammes or kilogrammes.

A mass is what?

The total quantity of material a thing contains or the number of constituent parts are both considered to represent its mass. pounds which is a force applied to an item, is distinct from force.

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one way the students could increaes the volume of gas this pond weed makes in 5 minutes

Answers

Hi welcome to brainly
i have an answer for you



One way students could increase the volume of gas produced by pond weed in 5 minutes is by increasing the light intensity on the pond weed. This can be done by moving the light source closer to the pond weed or by using a brighter light source.

It’s important to note that there are other factors that can affect the volume of gas produced by pond weed, such as temperature, carbon dioxide concentration, and water pH. Therefore, it’s important to control these variables as much as possible when conducting experiments with pond weed.

I hope that helps!

see photo please I have 5 mins !!

Answers

Only 25% of the original potassium-40 would be left after 2.5 billion years, or two half-lives so the answer is-98.4 g.

Calculation-

Potassium-40 has a half-life of 1.25 billion years, which indicates that in that time, half of the initial potassium-40 would have decomposed. Therefore, just 25% of the initial potassium-40 would be present after 2.5 billion years, or two half-lives.

One-fourth of 98.4 g of potassium-40 as a starting point would be

98.4 g / 4 = 24.6 g

Potassium-40's original concentration in the rock would have been:

24.6 g x 4 = 98.4 g

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BaSO4 ⇄ Ba2+ + SO42− Ksp = [Ba2+][SO42−] = 1.1 × 10-11 The value of Ksp indicates

Answers

The value of Ksp indicates the solubility of BaSO4 in water and equilibrium between dissolved and undissolved ions.

What is the significance of the Solubility Product Constant?


This Ksp value indicates the equilibrium between the dissolved ions (Ba2+ and SO42-) and the undissolved solid (BaSO4) in a saturated solution. A smaller Ksp value, like 1.1 × 10^-11, suggests that the compound (BaSO4) is less soluble in water, meaning only a small amount of it will dissolve in water at equilibrium.  Specifically, it represents the product of the concentrations of the dissolved ions (Ba2+ and SO42-) when BaSO4 is at equilibrium with its solid form. A smaller Ksp value indicates lower solubility, meaning less of the compound will dissolve in water, while a larger Ksp value indicates higher solubility, meaning more of the compound will dissolve in water. In this case, the Ksp value of 1.1 × 10-11 indicates that BaSO4 has relatively low solubility in water.


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17. Calculate the molecular formula if the molar mass is 92 g/mol if the empirical formula is
nitrogen dioxide.

Answers

The molecular formula if the molar mass is 92 g/mol if the empirical formula is nitrogen dioxide then the molecular formula is N₂O₄.

What is empirical formula?

An empirical formula is a simple expression of the relative numbers of atoms of each element present in a compound. It is typically written as a chemical formula in the form of a whole number ratio, such as CH2O for glucose, denoting that there are two atoms of hydrogen for every one atom of carbon and one atom of oxygen. Empirical formulas are not the same as true chemical formulas, which also list the arrangement of atoms in a compound.

Molecular formula = (empirical formula) × [tex]\frac{molar mass}{empirical formula mass}[/tex]

Empirical formula for nitrogen dioxide is NO₂

Empirical formula mass = 2×(16)+32 = 64

Molecular Formula = NO₂ x ([tex]\frac{92}{64}[/tex]) = NO₂ x 1.4375 = [tex]N_1_._4_3_7_5O_2_._8_7_5[/tex]

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2Ë™ alcohol + Jones reagent (chromic acid)

Answers

When 2° alcohols are treated with Jones reagent (chromic acid), they are oxidized to ketones.

The reaction proceeds via the following mechanism:

The chromic acid (CrO3 + H2SO4 + H2O) reacts with the alcohol to form a chromate ester intermediate.

The chromate ester intermediate is then hydrolyzed by water to produce a ketone and chromium (III) ions (Cr3+).

The overall reaction can be represented as follows:

Alcohol + Jones reagent → Ketone + Cr3

Ketones are organic compounds that contain a carbonyl group (C=O) bonded to two carbon atoms. They are structurally similar to aldehydes, which also contain a carbonyl group, but the carbonyl group in ketones is located in the middle of a carbon chain, whereas in aldehydes, it is at the end of the chain.

Ketones are generally less reactive than aldehydes due to the absence of a hydrogen atom on the carbonyl carbon.

They are important intermediates in organic synthesis and can be prepared by various methods, including the oxidation of secondary alcohols with oxidizing agents such as Jones reagent.

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2) In the bromination of benzene using Br2 and FeBr3, is the intermediate carbocation aromatic? Explain.

Answers

No, the intermediate carbocation formed during the bromination of benzene using Br₂ and FeBr₃ is not aromatic.

In the bromination reaction, FeBr₃ acts as a Lewis acid catalyst and accepts a lone pair of electrons from Br₂, generating Br⁺ and FeBr₄⁻. The Br⁺ electrophile attacks the benzene ring, forming a sigma complex intermediate. This intermediate is not aromatic because it does not have the delocalized pi electron system that characterizes aromatic compounds.

Next, the sigma complex intermediate undergoes deprotonation to generate the aromatic product, bromobenzene. This deprotonation step is facilitated by FeBr₃, which acts as a proton acceptor and forms HBr and FeBr₄⁻.

The overall reaction proceeds through a mechanism known as electrophilic aromatic substitution, which involves the substitution of an electrophile for a hydrogen atom on an aromatic ring.

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What is the molar solubility of lead iodide, PbI2, (in [Pb2+])Ksp = 9.8 × 10-9

Answers

The molar solubility of PbI2 of approximately 1.32 x [tex]10^-3 M.[/tex] The molar solubility of lead iodide, PbI2, can be determined using the solubility product constant (Ksp) which is equal to 9.8 x [tex]10^-9[/tex] for PbI2.

The Ksp is a measure of the equilibrium concentration of the ions in a saturated solution of the salt. In order to find the molar solubility, we need to use the Ksp expression which is given by Ksp = [tex][Pb2+][I-]^2.[/tex]

Since the solubility of PbI2 will result in an equal concentration of Pb2+ and I-, the expression can be simplified to Ksp = [tex][Pb2+]^3.[/tex] Rearranging the expression, we can solve for the molar solubility of PbI2 which is the concentration of Pb2+ ions in a saturated solution.

This means that at equilibrium, the concentration of Pb2+ ions in a saturated solution of PbI2 will be approximately 1.32 x [tex]10^-3 M.[/tex]

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Evaluate the following reactions:

REACTION 1. The hydrolysis of phosphoenolpyruvate (PEP) to pyruvate and inorganic phosphate (Pi) is represented by the reaction: PEP + H2O ---> Pyruvate + Pi + H+ and has a ΔG’of: -61.9 kJ mol -1.

REACTION 2. The hydrolysis of ATP is represented by the reaction: H2O + ATP --> ADP + Pi + H+ and has a ΔG’ of: -30.5 kJ mol-1.

a. What is the ratio of Pyruvate versus PEP under the equilibrium conditions in REACTION 1?

b. What is the ratio of ATP versus ADP under standard conditions for equilibrium in REACTION 2?

c. Under cellular conditions, these reactions are thermodynamically coupled. PEP in REACTION 1 can drive the synthesis of ATP in REACTION 2. Write the net coupled chemical equation for the synthesis of ATP from ADP and inorganic phosphate using the hydrolysis of PEP into Pyruvate. Show REACTION 1 and REACTION 2 in either forward or reverse direction AND the final overall coupled reaction equation.

d. Calculate the ΔG’ for the overall net coupled reaction. Using complete sentences, indicate whether the overall net coupled reaction would be spontaneous or non-spontaneous and why. Remember, show your work indicating the common intermediates and using appropriate units to receive full credit.

e. Calculate the ratio of products and reactants for the overall net coupled reaction.

Answers

a. Under equilibrium conditions, the ratio of Pyruvate to PEP is [tex]3.78 * 10^6.[/tex]

b. Under standard conditions for equilibrium, the ratio of ATP to ADP is 441.

c. This equation shows that PEP can drive the synthesis of ATP from ADP and Pi. REACTION 1 is in the forward direction, while REACTION 2 is in the reverse direction.

d. The overall net coupled reaction is exergonic or spontaneous because the ΔG' is negative (-92.4 kJ/mol). This means that the reaction releases energy and can proceed spontaneously without the addition of energy.

e. At equilibrium, the concentrations of PEP, ADP, Pi, H+, Pyruvate, and ATP will be equal.

a. The equilibrium constant (Keq) for REACTION 1 can be calculated using the equation:

ΔG° = -RT ln(Keq)

where R is the gas constant (8.314 J mol^-1 K^-1), T is the temperature in Kelvin (assumed to be 298 K), and ΔG° is the standard free energy change. Rearranging the equation to solve for Keq gives:

Keq = e^(-ΔG°/RT)

Substituting the given values, we get:

Keq =[tex]e^{(-(-61.9 kJ mol^{-1})/(8.314 J mol^{-1} K^{-1} * 298 K))}[/tex] = [tex]2.10 * 10^8[/tex]

The equilibrium constant expression for the hydrolysis of PEP can be written as:

Keq = [Pyruvate][Pi][[tex]H^+[/tex]] / [PEP][[tex]H_2O[/tex]]

At equilibrium, the ratio of products to reactants is equal to Keq. Therefore, the ratio of Pyruvate to PEP is:

[Pyruvate] / [PEP] = Keq / ([Pi][[tex]H^+[/tex]]/[[tex]H_2O[/tex]])

Substituting the given values, we get:

[Pyruvate] / [PEP] = [tex](2.10 * 10^8) / ((1 M)(10^{-7} M) / (55.5 M))[/tex]

[Pyruvate] / [PEP] = [tex]3.78 * 10^6[/tex]

b. The equilibrium constant (Keq) for REACTION 2 can be calculated in the same way as in part (a):

Keq = e^(-ΔG°/RT) = [tex]e^{(-(-30.5 kJ mol^{-1})/(8.314 J mol^{-1} K^{-1} * 298 K))} = 1.26 * 10^5[/tex]

The equilibrium constant expression for the hydrolysis of ATP can be written as:

Keq = [ADP][Pi][[tex]H^+[/tex]] / [ATP][[tex]H_2O[/tex]]

At equilibrium, the ratio of products to reactants is equal to Keq. Therefore, the ratio of ATP to ADP is:

[ATP] / [ADP] = [[tex]H_2O[/tex]] / ([Pi][[tex]H^+[/tex]]/([ATP]Keq))

Substituting the given values, we get:

[ATP] / [ADP] = [tex](55.5 M) / ((1 M)(10^{-7} M)/(1 M)(1.26 * 10^5))[/tex]

[ATP] / [ADP] = 441

c. The net coupled chemical equation for the synthesis of ATP from ADP and inorganic phosphate using the hydrolysis of PEP into Pyruvate can be written as:

PEP + ADP + Pi --> Pyruvate + ATP

This equation shows that PEP can drive the synthesis of ATP from ADP and Pi. REACTION 1 is in the forward direction, while REACTION 2 is in the reverse direction.

d. To calculate the ΔG' for the overall net coupled reaction, we need to sum up the ΔG' of the individual reactions.

ΔG'net = ΔG'1 + ΔG'2

ΔG'1 = -61.9 kJ/mol

ΔG'2 = -30.5 kJ/mol

ΔG'net = -61.9 kJ/mol + (-30.5 kJ/mol)

ΔG'net = -92.4 kJ/mol

e. The overall net coupled reaction can be written as follows:

PEP + ADP + Pi + [tex]H^+[/tex] → Pyruvate + ATP

The ratio of products and reactants for the overall net coupled reaction can be calculated using the equilibrium constant (Keq). The equilibrium constant is defined as the ratio of the concentrations of products to the concentrations of reactants at equilibrium.

Keq = [Pyruvate][ATP]/[PEP][ADP][Pi][[tex]H^+[/tex]]

At equilibrium, Keq = 10^(ΔG'net/(-RT))

where R is the gas constant (8.314 J/molK), T is the temperature (in Kelvin), and ΔG'net is the standard free energy change of the reaction.

Assuming standard conditions of 25°C (298 K), we get:

Keq = [tex]10^{(-92400/(8.314*298))[/tex]

Keq = [tex]2.1 * 10^{27[/tex]

The ratio of products to reactants is given by the coefficients in the balanced equation:

PEP : ADP : Pi : H+ : Pyruvate : ATP = 1 : 1 : 1 : 1 : 1 : 1

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