Classify each change as exothermic or endothermic.
a) water freezing into ice
b) natural gas burning

The more polar the connection is the larger the difference in electronegativity between the two atoms. N-F < N-H is the electronegative difference.

Define polarity

A molecule or its chemical groups that have polarity have an electric dipole moment with a negatively charged end and a positively charged end. Polarity is the separation of electric charge. Because the connected atoms' electronegativity differs, polar compounds must have at least one polar bond.

NH3 and NF3 are both trigonal pyramidal (TBSP) structures. Three polar bonds connect both molecules. There is a net dipole moment because the dipole moments connected to the polar bonds do not completely cancel one another out. Since both are polar, the more polar the connection is the larger the difference in electronegativity between the two atoms. N-F < N-H is the electronegative difference.

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Answer:

The answer to your question is 1m/sec.

Explanation:

The velocity of a molecule in a vacuum is 1m/sec.

Under lower and lower pressure, the molecules spread out further and further, until, at ultra-high vacuum (10 -12 mbar), there are only 2.65 x 104 or 26,500 molecules per cubic centimeter. At this density, there is only one molecule roughly every 0.33 mm in space.

I hope this helps and have a wonderful day!

To find the concentration of the feso4 solution in molarity, we need to use the balanced net ionic equation and the given information about the kmno4 solution. The balanced equation shows that 5 moles of Fe2+ are oxidized by 1 mole of kmno4. Therefore, we can calculate the number of moles of kmno4 used in the reaction:

0.175 mol/L x 0.01924 L = 0.00337 moles of kmno4

Since 5 moles of Fe2+ are oxidized by 1 mole of kmno4, we can calculate the number of moles of Fe2+ in the 28 mL solution:

Molarity = moles of solute/volume of solution in liters

Molarity of FeSO4 = (5/1) x (0.00337 moles kmno4/0.028 L) = 0.603 M

Therefore, the concentration of the feso4 solution in molarity is 0.603 M.
To find the concentration of the FeSO4 solution in molarity, we can use the concept of stoichiometry and the balanced net ionic equation provided:

5Fe²⁺ + MnO₄⁻ + 8H⁺ → Mn²⁺ + 5Fe³⁺ + 4H₂O

First, determine the moles of KMnO4 used:
moles of KMnO4 = (volume of KMnO4) x (molarity of KMnO4) = 0.01924 L x 0.175 M = 0.003366 moles

Using the stoichiometric ratio from the balanced equation, we can determine the moles of FeSO4:
moles of FeSO4 = (moles of KMnO4) x (5 moles of Fe²⁺ / 1 mole of MnO₄⁻) = 0.003366 moles x 5 = 0.01683 moles

Finally, we can calculate the concentration (molarity) of the FeSO4 solution:
Molarity of FeSO4 = moles of FeSO4 / volume of FeSO4 solution = 0.01683 moles / 0.028 L = 0.6011 M

The concentration of the FeSO4 solution in molarity is 0.6011 M.

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The definition of standard enthalpy of combustion is the enthalpy change that occurs when one mole of a substance is entirely burned in oxygen under standard conditions (298 K and 1 bar pressure), with all the reactants and products in their standard states.

What does the term "enthalpy" mean?

A thermodynamic system's enthalpy, which is one of its properties, is calculated by adding the system's internal energy to the product of its pressure and volume. It is a state function that is frequently employed in measurements of chemical, biological, and physical systems at constant pressure, which the sizable surrounding environment conveniently provides.

The change in enthalpy that takes place during a combustion reaction is known as the enthalpy of combustion. Almost any compound that would burn in oxygen has had its enthalpy changed; these values are often expressed as the enthalpy of combustion per mole of substance.

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Answer:

the answer is KOH (d) thanks

The most significant part of the mining cycle is the rock cycle, which involves an estimated 1 billion metric tons of the element.

The mining cycle refers to the process of extracting valuable minerals or other geological materials from the earth. However, the rock cycle is the geological process that describes how rocks are formed and transformed over time. It involves the continuous cycling of rock materials through processes such as weathering, erosion, and tectonic activity. The element referred to in the question is not specified, but finding an economically feasible way to retrieve it from the rock cycle is indeed a major challenge due to the complex nature of the geological processes involved.

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After boiling the water, the molarity of the NaCl solution will be approximately 2.07 M.


To find the new molarity of the solution, we need to use the equation M1V1 = M2V2, where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume.
Given that the initial volume is 345 ml and the final volume is 250 ml, we can find V1 as follows:
M1V1 = M2V2
1.5 M x 345 ml = M2 x 250 ml
M2 = (1.5 M x 345 ml) / 250 ml
M2 = 2.07 M
Therefore, the molarity of the solution after boiling will be 2.07 M. This means that the concentration of NaCl in the solution has increased due to the removal of water through boiling.

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Out of the given options, the Brønsted-Lowry conjugate acid-base pairs are:

Therefore, the correct answer is NH4+/NH3.

The Brønsted-Lowry conjugate acid-base pairs are related by the transfer of a single proton. In the Brønsted-Lowry acid-base theory, an acid is defined as a substance that donates a proton (H+) and a base is defined as a substance that accepts a proton. A conjugate acid-base pair is a pair of two molecules or ions that differ by the loss or gain of a single proton.

In an acid-base reaction, the acid donates a proton to the base, forming a conjugate acid and a conjugate base. The conjugate base is the remaining species after the acid has donated its proton, and it is able to act as a base itself by accepting a proton in a subsequent reaction. The conjugate acid is the species that is formed when the base accepts the proton, and it is able to act as an acid itself by donating a proton in a subsequent reaction.

For example, consider the reaction between hydrochloric acid (HCl) and water (H2O):

HCl + H2O → H3O+ + Cl-

In this reaction, HCl donates a proton to water, which accepts the proton to form hydronium ion (H3O+) as the conjugate acid and chloride ion (Cl-) as the conjugate base. The reverse reaction, in which H3O+ donates a proton to Cl-, would form HCl and H2O, completing the conjugate acid-base pair.

Similarly, consider the reaction between ammonia (NH3) and water:

NH3 + H2O → NH4+ + OH-

In this reaction, NH3 accepts a proton from water to form ammonium ion (NH4+) as the conjugate acid and hydroxide ion (OH-) as the conjugate base. The reverse reaction, in which NH4+ donates a proton to OH-, would form NH3 and H2O, completing the conjugate acid-base pair.

In summary, a conjugate acid-base pair is formed by two species that differ by the gain or loss of a single proton. In an acid-base reaction, the acid donates a proton to the base, forming a conjugate acid and conjugate base. The reverse reaction, in which the conjugate acid donates a proton to the conjugate base, forms the original acid and base, completing the conjugate acid-base pair.

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Here are some important notes about fractional distillation:

1. Fractional distillation is a process used to separate a mixture of liquids based on their boiling points.

2. The process involves heating the mixture to vaporize it, and then condensing the vapors back into liquid form.

3. As the temperature of the mixture increases, the liquids with lower boiling points will vaporize first, and can be collected separately.

4. A fractionating column is used in the process to separate the different components of the mixture by their boiling points.

5. The fractionating column is packed with materials such as glass beads, which provide a large surface area for the vapors to condense and re-vaporize.

6. As the vapors rise through the fractionating column, they are repeatedly condensed and re-vaporized, with the components with higher boiling points condensing and falling back down the column, while the components with lower boiling points continue to rise and be collected separately.

7. The temperature of the mixture is carefully controlled throughout the process to ensure that the components are separated efficiently.

8. Fractional distillation is commonly used in the petroleum industry to separate crude oil into its various components, such as gasoline, diesel fuel, and kerosene.

9. It is also used in the production of alcoholic beverages, such as whiskey and rum, to separate and concentrate the alcohol content.

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Necessary ratio to make buffer solution will 0.39 : 1  [CH₃CO₂⁻]/[CH₃CO₂H] with pH of 4.34 according to Henderson–Hasselbalch Equation,

Option D is correct .

With respect to Henderson–Hasselbalch Equation,

                                   pH  =  pKa + log [Acetate] / [Acetic Acid]

As,                                       =  pKa + log[CH₃CO₂⁻]/[CH₃CO₂H]

          pKa = -log Ka

          pKa = -log (1.8 × 10⁻⁵)

          pKa =  4.74

So ,  pH  =  4.74 + log[CH₃CO₂⁻]/[CH₃CO₂H]

       4.34  =  4.74 + log [Acetate] / [Acetic Acid]

          4.34 - 4.74  = log[CH₃CO₂⁻]/[CH₃CO₂H]

       -0.40  =  log[CH₃CO₂⁻]/[CH₃CO₂H]

Taking Antilog of both sides,

             [Acetate] / [Acetic Acid]  = 0.39 : 1

 Hence , the required ratio to make buffer solution with pH will be 0.39 : 1  

The Henderson-Hasselbalch condition gives a connection between the pH of acids (in watery arrangements) and their pKa (corrosive separation steady). The pH of a cushion arrangement can be assessed with the assistance of this situation when the centralization of the corrosive and its form base, or the base and the comparing form corrosive, are known.

The Henderson-Hasselbalch condition is useful while deciding the pH of an answer utilizing pKa and known centralizations of form base, salt, and corrosive. If the pH is known, it can also be used to determine concentrations of conjugate base, salt, or acid.

Incomplete question :

What is the [CH₃CO₂⁻]/[CH₃CO₂H] ratio necessary to make a buffer solution with a pH of 4.34? K a = 1.8 × 10⁻⁵ for CH₃CO₂H.

A. 2.5:1

B. 0.91:1

C. 1.09:1

D. 0.39:1

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According to the equation, KOH + [tex]CO_2[/tex] → [tex]K_2CO_3[/tex] + [tex]H_2O[/tex], the mass of KOH that will be required to produce 145 grams of [tex]K_2CO_3[/tex] is 58.84 g

2 KOH + [tex]CO_2[/tex] → [tex]K_2CO_3[/tex] + [tex]H_2O[/tex] is the given equation.

Using Stoichiometry,

Two moles of KOH produce one mole of [tex]K_2CO_3[/tex]

Molar mass of KOH = 56 g

Molar mass of [tex]K_2CO_3[/tex] = 138 g

Since 2 moles of KOH are given, thus 56 * 2 = 112 g

Thus, 138 g of [tex]K_2CO_3[/tex] requires 112 g of KOH

1 g of [tex]K_2CO_3[/tex]  requires 112 / 138 g of KOH

= 0.811 g of KOH

145 g of [tex]K_2CO_3[/tex] requires 0.811 * 145 g of KOH

=117.68 g of KOH

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The correct answer to the given question is Option a. 1.21.

The pH of a solution is defined as the negative logarithm of the hydronium ion concentration:

pH = -log[H3O+]

Substituting the given value:

pH = -log(6.1 x 10^-2) = 1.21

Therefore, the pH of this solution is 1.21.

The pH of a solution is a measure of its acidity or basicity, and is defined as the negative logarithm of the hydronium ion concentration in the solution. In this case, the given hydronium ion concentration is 6.1 x 10^-2 M, and using the pH formula of pH = -log[H3O+], we can calculate the pH of the solution. Substituting the value, we get pH = -log(6.1 x 10^-2) = 1.21. This means that the solution is highly acidic, as pH values below 7 are considered acidic. It is important to maintain proper pH levels in different chemical and biological systems, as pH can affect chemical reactions, enzyme activity, and the overall function of biological systems.

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Answer:A Lunar eclipse occurs when the Sun casts Earth's shadow onto the Moon.

Explanation:

The Earth must be between the Sun and Moon with all three bodies lying on the same plane of orbit. Lunar eclipses must occur during the full moon, and  solar eclipses must occur when the Moon passes between the Sun and Earth, casting the Moon's shadow on Earth

An amide group is substituted directly into the location on the aromatic ring that is opposite to it in electrophilic aromatic substitution.

Why does aromatic amine electrophilic substitution occur?

By delocalizing the lone pair of electrons from the N-atom over the aromatic ring, the NH2 group of aromatic amines powerfully activates the aromatic ring. Aromatic amines are more easily subject to electrophilic substitution reactions than benzene because of the high activating effect of the -NH2 group.Directors in ortho/para are activated by amide groups.

In organic reactions known as electrophilic aromatic substitutions, an atom that is affixed to an aromatic ring is replaced by an electrophile. These reactions frequently include the replacement of an electrophile atom with a hydrogen atom from a benzene ring.

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The pH of the buffer solution is approximately 3.67.

To calculate the pH of the buffer solution, we need to first calculate the concentrations of the acid and its conjugate base after mixing the solutions.

The balanced chemical equation for the dissociation of lactic acid is:

CH3CH(OH)COOH  +  H2O  <-->  CH3CH(OH)COO-  +  H3O+

The acid dissociation constant (Ka) for lactic acid is 1.38 x 10^-4 at 25°C.

Using the Henderson-Hasselbalch equation, we can calculate the pH of the buffer solution:

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

where [A-] is the concentration of the conjugate base (sodium lactate) and [HA] is the concentration of the acid (lactic acid).

Step 1: Calculate the moles of lactic acid and sodium lactate

Moles of lactic acid = 0.13 mol/L x 0.085 L = 0.01105 mol

Moles of sodium lactate = 0.08 mol/L x 0.095 L = 0.0076 mol

Step 2: Calculate the total volume of the buffer

Total volume = 85 mL + 95 mL = 0.085 L + 0.095 L = 0.18 L

Step 3: Calculate the concentrations of lactic acid and sodium lactate

[HA] = moles of lactic acid / total volume = 0.01105 mol / 0.18 L = 0.0614 M

[A-] = moles of sodium lactate / total volume = 0.0076 mol / 0.18 L = 0.0422 M

Step 4: Calculate the pH of the buffer solution

pKa of lactic acid = -log(Ka) = -log(1.38 x 10^-4) = 3.86

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

= 3.86 + log(0.0422/0.0614)

= 3.86 - 0.19

= 3.67

Therefore,  by calculating we can say that the pH of the buffer solution is approximately 3.67.

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Carbon Dioxide had the highest emissions of greenhouse gases in 2014. The correct answer is 4.

Carbon dioxide (CO2) is the most abundant greenhouse gas in the Earth's atmosphere, and its concentration has been steadily increasing since the beginning of the Industrial Revolution. The burning of fossil fuels for energy production, transportation, and industrial processes is the primary source of anthropogenic CO2 emissions. In 2014, global CO2 emissions from fossil fuel combustion and industrial processes were estimated to be around 32.5 billion metric tons, which is the highest level on record. CO2 is a potent greenhouse gas that can trap heat in the Earth's atmosphere and contribute to global warming and climate change. Therefore, 4 is the correct answer.

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--The complete Question is, Which greenhouse gas had the HIGHEST emissions in 2014?

1. Fluorinated Gases.

2. Nitrous Oxides

3.Methane

4.Carbon Dioxide--

CH3O (option 3) would probably not exist as a stable molecule according to Lewis structures.

According to Lewis structures, a stable molecule should have a complete octet of electrons in its valence shell. Therefore, the molecule that probably would not exist as a stable molecule is the one that cannot form a complete octet.

Option 4, C2H2 (acetylene), is the molecule that would probably not exist as a stable molecule since it cannot form a complete octet in its valence shell. It only has four valence electrons and cannot accommodate eight electrons around the carbon atoms. Therefore, it is a highly reactive molecule and tends to react with other compounds to form stable molecules.

On the other hand, options 1, 2, 3, and 5 (CH3OH, CH2O, CH3O, and C3H4) can form a complete octet in their valence shells, and they can exist as stable molecules.

Based on Lewis structures, the molecule that would probably not exist as a stable molecule among the given options is 3) CH3O.

Here's a step-by-step explanation:

1. Draw the Lewis structures for each molecule.
2. Check if each molecule has a complete octet (8 electrons) around each atom, with the exception of hydrogen which only needs 2 electrons.

Upon analyzing the Lewis structures:
1) CH3OH - Methanol - exists as a stable molecule with complete octets.
2) CH2O - Formaldehyde - exists as a stable molecule with complete octets.
3) CH3O - This molecule does not have a complete octet for the central atom (carbon) or the oxygen atom, making it unstable.
4) C2H2 - Acetylene - exists as a stable molecule with complete octets.
5) C3H4 - Propyne - exists as a stable molecule with complete octets.

Therefore, CH3O (option 3) would probably not exist as a stable molecule according to Lewis structures.

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Amides can be prepared in one step by reacting a carboxylic acid and an amine, an acid chloride and an amine, or an alcohol and an acid chloride.

Chloride is an anion made up of one chlorine atom and one electron. It is the most abundant halide ion found in nature and is found in many chemical compounds. In the human body, it is present in the blood and other fluids, and is also necessary for the production of hydrochloric acid in the stomach. Chloride is an essential electrolyte and helps to balance the acid-base balance in the body. It also helps to regulate the amount of water in the body and is necessary for proper nerve and muscle function. Chloride is also essential for the elimination of waste products from the body and for keeping the skin and other tissues healthy.

The reaction of an amine and a carboxylic acid will result in the formation of an amide. The reaction of an acid chloride and an amine will also result in an amide. Lastly, an alcohol can be reacted with an acid chloride to form an amide.

Therefore the correct option is C.

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When a stable diatomic molecule spontaneously forms from its atoms at constant pressure and temperature, the statement is true.

When two atoms form a diatomic molecule, a chemical bond is created, and energy is released. This energy is typically in the form of heat or light, and the process is exothermic. Since the diatomic molecule has lower free energy than the individual atoms, the change in Gibbs free energy (ΔG) is negative, and the reaction occurs spontaneously at constant pressure and temperature.

Therefore, the answer is true.

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In a weak acid-strong base titration, a weak acid is gradually neutralized by a strong base. This reaction involves the transfer of protons from the acid to the base until the equivalence point is reached.
The equivalence point of a weak acid-strong base titration occurs when the moles of acid are equal to the moles of base. At this point, the pH of the solution is typically greater than 7, indicating a basic solution. A weak acid-strong base titration can be used to determine the concentration of the acid. This is done by measuring the amount of base required to neutralize the acid and reach the equivalence point.

The pH of a weak acid-strong base titration initially decreases as the strong base is added, but as the equivalence point is reached, the pH increases rapidly overall, weak acid-strong base titrations can be used to determine the concentration of weak acids and provide valuable information about the chemical properties of these substances.

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The noble gas that is significantly carcinogenic due to its radioactive decay and that of its decay products is radon. Radon is a colorless and odorless gas that is formed naturally from the decay of uranium in rocks and soil.

Long-term exposure to high levels of radon can increase the risk of lung cancer, particularly in smokers. It is important to test homes and buildings for radon levels and take measures to reduce them if necessary.

The noble gas thought to be significantly carcinogenic due to its radioactive decay and that of its decay products is Radon. Radon is a noble gas that can be found in soil, rock, and groundwater. It is formed through the radioactive decay of uranium and thorium, and its own decay products can also be radioactive, increasing the risk of cancer when inhaled or ingested in high concentrations.

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When 50.00 g of C(s) combines with excess [tex]SO_{2}[/tex](g) to create [tex]CS_{2}[/tex](l) and CO(g), approximately 191.92 kJ of heat is absorbed.

How much heat is absorbed int the given reaction?

To calculate the amount of heat absorbed during the given reaction, we need to first determine the moles of C(s) consumed in the reaction.

The molar mass of carbon is 12.01 g/mol. Therefore, the number of moles of C(s) present in 50.00 g can be calculated as:

moles of C(s) = Mass of C(s)/Molar mass of C(s)

moles of C(s) = 50.00 g/12.01 g/mol

moles of C(s) = 4.165 mol

From the balanced chemical equation, we know that 5 moles of C(s) reacts with 2 moles of [tex]SO_{2}[/tex](g). Therefore, the number of moles of [tex]SO_{2}[/tex](g) required for the given amount of C(s) can be calculated as:

moles of [tex]SO_{2}[/tex](g) = (2/5) * moles of C(s)

moles of [tex]SO_{2}[/tex](g) = (2/5) * 4.165 mol

moles of [tex]SO_{2}[/tex](g) = 1.666 mol

Since [tex]SO_{2}[/tex](g) is present in excess, it will not be completely used up in the reaction.

Now, using the balanced chemical equation, we see that 5 moles of C(s) produces 239.9 kJ of heat. Therefore, the heat absorbed when 4.165 moles of C(s) reacts can be calculated as:

Heat absorbed = (239.9 kJ/5 mol) * 4.165 mol

Heat absorbed = 191.92 kJ

When 50.00 g of C(s) combines with excess [tex]SO_{2}[/tex](g) to create [tex]CS_2[/tex](l) and CO(g), roughly 191.92 kJ of heat is absorbed.

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The empirical formula of a substance that is 53.5% C, 15.5% H, and 31.1% N by weight is C₂H₅N.

To find the empirical formula, follow these steps:
1. Assume you have 100g of the substance, which makes the given percentages equivalent to grams (53.5g C, 15.5g H, 31.1g N).
2. Convert grams to moles for each element:
  - C: 53.5g / 12.01g/mol ≈ 4.46 mol
  - H: 15.5g / 1.01g/mol ≈ 15.35 mol
  - N: 31.1g / 14.01g/mol ≈ 2.22 mol
3. Divide all mole values by the smallest mole value to find the mole ratio:
  - C: 4.46 / 2.22 ≈ 2
  - H: 15.35 / 2.22 ≈ 7
  - N: 2.22 / 2.22 ≈ 1
4. Due to rounding errors, adjust the H ratio to the nearest whole number (5 in this case).
5. The empirical formula is therefore C₂H₅N.

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Answer: B

Explanation: I took test

The theoretical yield of H₂S is 16 mol. To determine the theoretical yield of H₂S (in moles) in this reaction, we first need to write out the balanced chemical equation: Al₂S₃ + 6 H₂O → 2Al(OH)₃ + 3H₂S

From the equation, we can see that for every 1 mol of Al₂S₃ and 6 mol of  H₂O reacted, we will produce 3 mol of H₂S. Therefore, we need to determine which reactant will limit the amount of H₂S that can be produced, as this will be the maximum amount of H₂S that we can obtain.

To do this, we need to calculate the number of moles of  H₂O and Al₂S₃ that we have:

Number of moles of  H₂O = 32 mol
Number of moles of Al₂S₃ = 32 mol

Next, we need to determine which reactant is limiting by calculating the number of moles of H₂S that would be produced if all of the Al₂S₃ reacted:

Number of moles of H₂S produced = (32 mol Al₂S₃) × (3 mol H₂S / 1 mol Al₂S₃) = 96 mol H₂S

However, we also need to check if we have enough H₂O to react with all of the Al₂S₃. To do this, we calculate the number of moles of H₂S that would be produced if all of the H₂O reacted:

Number of moles of H₂S produced = (32 mol H₂O) × (3 mol H₂S / 6 mol H₂O) = 16 mol H₂S

Since we have less H₂S produced when all of the  H₂O reacts, this means that the  H₂O is the limiting reactant. Therefore, the theoretical yield of H₂S is 16 mol.

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The volume of the sample of the pure HCl gas is 161 mL at the 26°C and 139 mmHg. The molarity of NaOH solution is 0.012 M.

The ideal gas equation is :

P V = n R T

Where,

The pressure, P = 1839 mmHg = 0.182 atm

Volume = 0.277 L

R is gas constant = 0.0823 L atm/K mol

Temperature = 26 +273.15 = 299 K

The number of moles of HCl, n  = P V / R T

The number of moles of HCl, n = ( 0.182 × 0.277 ) / ( 0.0823 × 299 )

The number of moles of HCl, n = 0.0020 mol

0.0020 mol of NaOH are needed to neutralize 0.0020 mol of HCl

The molarity is expressed as :

Molarity = moles / volume

The molarity = 0.0020 / 0.161

The molarity = 0.012 M

The molarity is 0.012 M.

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The two fractions that would be best to pool together for application to a subsequent column would be fractions 4 and 5.

Fractions are a way of writing numbers as a ratio of two numbers. They are written in the form of a/b, where a is the numerator and b is the denominator. The numerator represents the number of parts of a whole, and the denominator represents the total number of parts into which the whole is divided. Fractions can represent parts of a whole number, parts of a set, or parts of a measurement.

The two fractions that would be best to pool together for application to a subsequent column would be fractions 4 and 5. This is because fraction 4 has the highest concentration of the desired protein, and fraction 5 has the second highest concentration. Pooling these two fractions together would maximize the amount of protein present in the pooled fraction and minimize any contaminants that may be present in the other fractions.

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The complete question is:

Based upon the quantitative data, what two fractions would be the best to pool together for application to a subsequent column (like an ion exchange or gel filtration column)?

The change in entropy ΔS for methanol when it boils can be calculated from the change in enthalpy and temperature.

To calculate the change in entropy (ΔS) when methanol boils, we need to use the equation:

ΔS = ΔH / T

First, we have to calculate the number of moles of methanol, using the molar mass of CH₃OH as 32.04 g/mol:

moles of CH₃OH = mass of CH₃OH ÷ molar mass of CH₃OH

= 2.0 g ÷ 32.04 g/mol = 0.062 mol

Temperature in Kelvin (T) = 65.0 °C + 273.15 = 338.15 K

Now we can calculate the change in entropy:

ΔS = ΔH ÷ T

= 35.3 kJ/mol ÷ (0.062 mol × 338.15 K)

= 1.640 kJ/(mol·K)

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The molar ratio of CO2 and N2 in the gas mixture is 1:2, which means that for every 1 mole of CO2, there are 2 moles of N2 in the mixture.

Let's assume that the number of moles of CO2 in the mixture is x. Then the number of moles of N2 is 2x, based on the molar ratio.

According to the ideal gas law, at STP, one mole of any gas occupies a volume of 22.4 liters. Therefore, if we know the total volume of the gas mixture, we can calculate the number of moles of the mixture using the formula:

moles = volume (in liters) / molar volume (22.4 L/mol)

In this case, the total volume of the gas mixture is given as 154.56 L. Substituting this value into the formula, we get:

moles of mixture = 154.56 L / 22.4 L/mol = 6.9 moles

Since the molar ratio of CO2 and N2 in the mixture is 1:2, we can set up the equation:

x + 2x = 6.9 moles

Simplifying the equation, we get:

3x = 6.9 moles

x ≈ 2.3 moles Therefore, the number of moles of CO2 gas in the mixture is approximately 2.3 moles, and the number of moles of N2 gas in the mixture is approximately 2 x 2.3 = 4.6 moles.

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The final temperature of the water after mixing a 50.0 g sample of liquid water at 25.0°C with 19.0 g of water at 87.0°C is 37.2°C.

What is the final temperature after mixing two samples of water with different temperatures and masses?

We can fix this problem by applying the idea of energy conservation. Assuming no heat is lost to the surroundings, the heat lost by the hot water (q1) must be equal to the heat gained by the cold water (q2):

q1 = q2

The equation for the heat lost or gained by an object is:

q = m * c * ΔT

where q is the heat lost or gained (in joules), m is the mass of the object (in grams), c is the specific heat capacity of the substance (in J/g°C), and ΔT is change in temp (°C).

Using this equation for both q1 and q2 and setting them equal to each other, we can solve for the final temperature (T-f).

q1 = m1 * c * ΔT1

q2 = m2 * c * ΔT2

where m1 is the mass of the hot water, ΔT1 is the temperature change of the hot water from its initial temperature to T-f, m2 is the mass of the cold water, and ΔT2 is the temperature change of the cold water from its initial temperature to T-f.

Putting the values, we get:

q1 = -q2

m1 * c * ΔT1 =

-m2 * c * ΔT2

(19.0 g) * (4.184 J/g°C) * (T-f - 87.0°C) = -(50.0 g) * (4.184 J/g°C) * (T-f - 25.0°C)

Solving for T-f, we get:

T-f = [(19.0 g) * (4.184 J/g°C) * (87.0°C) + (50.0 g) * (4.184 J/g°C) * (25.0°C)] / [(19.0 g) * (4.184 J/g°C) + (50.0 g) * (4.184 J/g°C)]

T-f = 37.2°C (rounded to two significant figures)

Therefore, the final temperature of the water is 37.2°C.

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