when fecl3 is ignited in an atmosphere of pure oxygen, this reaction takes place if 3.00 moles of fecl3 is ignited in the presence of 2.00 moles of o2 gas, how much of which reagent is present in excess and therefore remains unreacted?

Doppelbocks are lagers unified by their high alcohol content.

Doppelbocks are German lagers that are dark and full-bodied. They are recognized for their rich malt flavors and alcoholic content, which is typically over 7% by volume. The monks of Munich developed the style in the 17th century, and the doppelbock style has been associated with monastic brewing ever since.

Doppelbocks are unified by high alcohol content because they are high in maltose and other fermentable sugars, which make them perfect for long, cold fermentations that yield a rich, complex, and smooth flavor. Lagers are a type of beer typically fermented at low temperatures and for an extended period. They are one of two significant categories of beer, the other being ales. Lagers are usually lighter in color and smoother in flavor than ales. They are also typically lower in alcohol content and have a cleaner, crisper taste than ales.

In conclusion, Doppelbocks are lagers unified by high alcohol content.

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When 4.72 g of carbon react with excess oxygen gas to produce carbon dioxide, 609.6 kJ of energy will be released

This is because the reaction between carbon and oxygen is exothermic, meaning that energy is released when the reaction takes place.

For carbon, the energy released per mole is 717 kJ. For oxygen, the energy released per mole is 498 kJ.

The total energy released in the reaction, you need to multiply the energy released per mole by the number of moles of each element present in the reaction.

In this reaction, 4.72 g of carbon and excess oxygen are present. The atomic mass of carbon is 12.0107 g/mol, which means that 0.3948 moles of carbon are present in 4.72 g.

The atomic mass of oxygen is 15.999 g/mol, which means that 6.26 moles of oxygen are present.

Multiplying the energy released per mole of each element by the number of moles present in the reaction yields the total energy released.

This is equal to 717 kJ/mol x 0.3948 mol = 282.3 kJ, and 498 kJ/mol x 6.26 mol = 3127.48 kJ.

Adding these two values together gives the total energy released in the reaction,

which is equal to 3127.48 kJ + 282.3 kJ = 3409.78 kJ. Since 1 kJ = 1000 J, the total energy released in this reaction is 3409.78 kJ = 3.40978 x 10^6 J.

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In 1.2 x [tex]10^{24}[/tex] formula units of [tex]Li_{2} (SO)_{4}[/tex], there are roughly 1.993 moles of

[tex]Li_{2} (SO)_{4}[/tex].

Using Avogadro's number, or 6.022 x [tex]10^{23}[/tex] molecules/mol, we can calculate the number of moles of Li2SO4 in 1.2 x [tex]10^{24}[/tex]formula units.

First, we need to figure out how many moles of [tex]Li_{2} (SO)_{4}[/tex]  are needed to equal 1.2 x [tex]10^{24}[/tex]  formula units:

Formula units equal 6.022 x [tex]10^{23}[/tex] per mole of [tex]Li_{2}(SO)_{4}[/tex].

As a result, there are: 1.2 x [tex]10^{24}[/tex] moles of [tex]Li_{2}(SO)_{4}[/tex] in the formula units.

1.993 moles are equal to 1.2 x [tex]10^{24}[/tex] formula units / 6.022 x [tex]10^{23}[/tex] formula units/mol.

Hence, 1.2 × [tex]10^{24}[/tex] formula units of [tex]Li_{2} (SO)_{4}[/tex] contain about 1.993 moles.

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The distance between atoms widens as their vibrations get more rapid. The substance's state of matter is determined by the movement and spacing of its particles. The thing grows or  enhanced molecular mobility.

Because kinetic energy of a liquid's molecules rises as the temperature does. As a result, the molecules have more flexibility to travel across larger volumes as the forces that attraction between them are eventually overcome.

According to the gas kinetic theory, as a gas's temperature rises, the typical kinetic energy of its molecules rises, leading to more motion. This real gases equation PV=NkT predicts that the increased velocity will increase the gas's outer pressure.

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If the scientist wishes to increase the heat of the boiling water as much as possible, she can increase the heat source's temperature or increase the amount of heat being supplied to the water.

This can be done by increasing the flame on the stove, increasing the power of the heating element, or adding more heat from an external source. However, it is important to note that the boiling point of water is 100°C at standard atmospheric pressure, so the water will not get any hotter than that unless the pressure is increased. Also, caution should be taken when working with boiling water to prevent burns or accidents.

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At the temperatute of  363.27 K the sample of the gas Neon would occupy a volume of 50.00 cubic meters. Therefore option A can be considered correct.

Using  the combined gas law in order to solve this problem

(P₁V₁)/T₁ = (P₂V₂)/T₂

( P is the pressure, V is the volume, and T is the temperature)

Since the pressure is constant, we can simplify the equation to:

V₁/T₁ = V₂/T₂

After inserting the values given in the problem equation,

V₁ = 40.81 m³

T₁ = 23.5°C + 273.15 = 296.65 K

V₂ = 50.00 m³

We can solve for    T₂= (V₂/V₁) × T₁

T₂ = (50.00/40.81) × 296.65

T₂ = 363.27 K

Hnce, the temperature in kelvins  at which the gas would occupy the volume of  50.00 cubic meters is calculated out to be 363.27 K.

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Thee mass of carbon dioxide lost when 2.5 g of magnesium carbonate is decomposed by heating is 1.30 g. The mass of potassium chloride formed is 3.72 g.

1- To find the mass of carbon dioxide lost when 2.5 g of magnesium carbonate is decomposed by heating, we need to know the chemical equation for the reaction:

MgCO₃(s) -> MgO(s) + CO₂(g)

From the equation, we can see that 1 mole of magnesium carbonate produces 1 mole of carbon dioxide. The molar mass of magnesium carbonate is 84.31 g/mol, so we can calculate the number of moles of magnesium carbonate as:

n = m/M = 2.5 g / 84.31 g/mol = 0.0296 mol

m = nM = 0.0296 mol * 44.01 g/mol = 1.30 g

2- To find the mass of potassium chloride formed when 2.8 g of potassium hydroxide is completely neutralized by hydrochloric acid, we need to know the balanced chemical equation for the reaction:

KOH(aq) + HCl(aq) -> KCl(aq) + H2O(l)

we can calculate the number of moles of potassium hydroxide as:

n = m/M = 2.8 g / 56.11 g/mol = 0.0499 mol

m = nM = 0.0499 mol * 74.55 g/mol = 3.72 g

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The ammonia autoionization counterpart of Kw is defined by the expression c. [tex][NH_2^-][NH_4^+].[/tex]

The autoionization of liquid ammonia, [tex]NH_3[/tex], involves the transfer of a proton from one ammonia molecule to another, producing the ammonium ion ([tex]NH_4^+[/tex]) and the amide ion ([tex]NH_2^-[/tex]):

[tex]NH_3 + NH_3[/tex]⇌ [tex]NH_2^- + NH_4^+[/tex]

This is because ammonia ([tex]NH_3[/tex]) can act as both a base and an acid in a solvent, and autoionizes into [tex]NH_2^-[/tex] (amide ion) and [tex]NH_4^+[/tex] (ammonium ion)

The equilibrium constant expression for this reaction is:

[tex]K = [NH_4^+][NH_2^-]/[NH_3]^2[/tex]

Therefore, the ammonia autoionization counterpart of Kw would be:

[tex]Kw = [NH_4^+][NH_2^-][/tex]

Therefore, the correct answer is (c) [tex][NH_2^-][NH_4^+].[/tex].

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At Standard Temperature and Pressure (STP) the volume of the gas at is 216.1 ml.

A sample of ideal gas occupies 208ml at 36.2 degree Celsius and 704 torr what is the volume at stp

For a sample of ideal gas, the relationship between volume, pressure, and temperature is given by the Ideal Gas Law:

PV = nRT

Where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the universal gas constant, and T is the temperature of the gas.

At STP (Standard Temperature and Pressure), the pressure of the gas is 1 atm and the temperature of the gas is 0°C (273 K). Therefore:

P1 = 704 torr

V1 = 208 mL

T1 = 36.2°C = 309.35 K

P2 = 1 atm

V2 = ?

T2 = 0°C = 273 K

To find V2, we can use the following equation:

V2 = V1(P2/P1)(T1/T2)

Plugging in the given values:

V2 = 208 mL (1 atm/704 torr) (309.35 K/273 K)

V2 = 208 mL (0.939) (1.132)

V2 = 216.1 mL

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Option (a) and (b) is correct. Both sulfuric acid and boron trifluoride etherate could be used to initiate the polymerization of isobutylene.

Isobutylene is found as a colorless gas. It has a faint petroleum like odor. For transportation isobutylene may be stanched. It is shipped to other as a liquefied gas under its own vapor pressure. Polymerization is defined as any process in which relatively small molecules called monomers and combine chemically to produce a very large chainlike or network molecule called a polymer. The monomer molecules are called  be all alike or they may represent two, three, or more different compounds. Polymerization of Isobutylene occurs via carbo-cationic polymerization processes to form products with very broad molecular weight distributions and exhibiting consistencies which vary from liquids, for oligomers, to solids, for high-molecular-weight polymers.

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Answer:

Explanation:

The statement "the thermochemical equation represents a physical change" is false.

The given thermochemical equation must represent a chemical change because it involves a change in the chemical composition of the reactants and products. In particular, it describes the condensation of a gas into a liquid, which involves a change in the arrangement of atoms and molecules.

The other statements are true based on the given information:

The pressure for the process is known: This implies that the process is either carried out under constant pressure or the change in volume is negligible.

The internal energy of the surroundings increases: This suggests that the process is endothermic, meaning that energy is absorbed from the surroundings.

The enthalpy change for the gas condensing into a liquid is known: This is implied by the fact that a thermochemical equation is given, which allows us to calculate the enthalpy change for the given reaction.

The enthalpy change is endothermic: This follows from the statement that the internal energy of the surroundings increases, which means that heat is absorbed from the surroundings, making the enthalpy change positive (endothermic).

B. The rate would drop or decrease. Although the rate of a chemical reaction typically rises as the concentration of the reactants increases, if the concentration falls, the reaction rate also rises.

In general, the rate of a chemical reaction rises as the reactant concentration does. The volume of reactant that transforms into product over a specific amount of time. additionally described as the quantity of a product that forms in a specific length of time — Since a chemical system is at equilibrium when the rate of the forward reaction equals the rate of the reverse reaction, reaction rates and chemical equilibrium are connected.

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Complete Question:

a reaction carried out and the rate measured. the experiment is repeated, but with doubling the concentration of a reactant. the measured rate does not change. what must be true about the reactants role in the reaction?

A. the rate would increase.

B. the rate would decrease.

C. the rate would remain constant.

Volume of balloon [tex] \sf (V_1 ) [/tex] = 6.7 L

Temperature [tex] \sf (T_1 ) [/tex]= 20 celsius (converting into kelvin) = 20 + 273 = 293 K

Now,

[tex] \sf (T_2 ) [/tex] = 350 celsius

= 350 + 273 = 623 K

Since pressure is constant.

According to Charles law, At constant pressure the volume of the gas is directly proportional to temperature.

[tex] \: \: { \boxed{ \sf{ \pink{\dfrac{V_1}{V_2} = \dfrac{T_1}{T_2}}}}}[/tex]

We have to find [tex] \sf (V_2 ) [/tex]

On putting the values in above formula,,

[tex]\sf \dfrac{6.7}{V_2} = \dfrac{293}{623} \\ \\ \sf V_2 = \dfrac{6.7 \times 623}{293} \\ \\ \sf V_2 = \dfrac{4174.1}{293} \\ \\ \sf V_2 = 14.24[/tex]

Therefore, Volume of the balloon will be 14.24 L at 350 celsius.

Answer: The placement of electrons in the central atom is important as it determines the molecular geometry and polarity of the molecule. The lone pairs of electrons are likely to be in the valence shell of the central atom.

What are electrons?

Electrons are tiny negatively charged particles that are part of atoms. Electrons play an important role in the chemistry of the atom. The outer shell of an atom contains electrons, and it is the arrangement of these electrons that determines how atoms will interact with each other.

Electrons in the outermost shell are known as valence electrons. Lone pair of electrons, lone pairs are valence electrons that are not involved in covalent bonding. They are also known as non-bonding electrons. For instance, nitrogen atom has five valence electrons. In ammonia, three electrons from nitrogen atom are involved in forming covalent bonds with hydrogen atoms.

The remaining two electrons are known as lone pairs. The central atom, in this case, is nitrogen, and the lone pairs of electrons are present on the nitrogen atom. Lone pairs of electrons are the determining factor for determining the geometry and polarity of molecules. They are important for understanding chemical reactions and predicting the behavior of different molecules.

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When determining the energy effect of a chemical reaction, the system is/are reactants and products and the surroundings are everything outside the system.

When determining the energy effect of a chemical reaction, the system and surroundings are involved. The system refers to the reactants and products involved in the chemical reaction, whereas the surroundings refer to everything else outside the system, including the temperature, pressure, and any other factors that can affect the reaction.

The energy effect of a chemical reaction can be determined by calculating the difference between the energy of the products and the energy of the reactants. This difference is known as the energy change or the enthalpy change of the reaction.

If the energy change is positive, it means that the reaction is endothermic, and energy is absorbed from the surroundings. This results in a decrease in the temperature of the surroundings.

On the other hand, if the energy change is negative, it means that the reaction is exothermic, and energy is released into the surroundings. This results in an increase in the temperature of the surroundings.

It is important to note that the energy effect of a chemical reaction can also be affected by external factors such as pressure, temperature, and the presence of a catalyst.

In conclusion, the system is the reactants, and the products and surroundings are factors like temperature and pressure, i.e., everything outside the system.

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The molecular formula of naphthalene is C6H6 if it involves the complete combustion of a 20.10 mg sample of naphthalene in oxygen yielded 69.00 mg of co2 and 11.30 mg of h20.

We have the complete combustion of a 20.10 mg sample of naphthalene in oxygen yielded 69.00 mg of co2 and 11.30 mg of h20.

Mass of C in CO2 is,

       = 12/44 x 69.00

       = 18.82mg

Mass of H in H2O is,

            = 2/18 x 11.30

            = 1.256mg

We have to find Mole ratios.

C= 18.82/12= 1.568

H= 1.256/1= 1.256

Now we have to divide by the smaller mole ratio.

C= 1.568/1.256= 1.2=1

H= 1.256/1.256= 1

So the empirical formula is CH.

The empirical formula of a compound is defined as the formula which gives us the lowest whole number ratio of that particular compound.

A molecular formula is a way of presenting information about the chemical proportions of atoms that constitute a particular chemical compound or molecule.

Empirical formula weight=12+1=13

We can get the mass of the empirical formula can be computed by dividing the molar mass of the compound by it.

Molecular weight=78

n=  Molecular  weight / Empirical  formula  weight

= 78/ 13

=6

Molecular formula=(CH) n​ =(CH) 6​ =C6H6

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Answer:

The balanced chemical equation for the reaction between hydrochloric acid (HCl) and sodium sulfate (Na2SO4) is:

2 HCl + Na2SO4 → 2 NaCl + H2SO4

This equation shows that two moles of hydrochloric acid react with one mole of sodium sulfate to produce one mole of sulfuric acid. Therefore, we need to first calculate the number of moles of sodium sulfate that react with the given mass of hydrochloric acid, and then use the mole ratio to find the number of moles (and mass) of sulfuric acid produced.

Calculate the number of moles of sodium sulfate:

molar mass of Na2SO4 = 2(23.0 g/mol) + 1(32.1 g/mol) + 4(16.0 g/mol) = 142.1 g/mol

moles of Na2SO4 = mass/molar mass = 13.7 g/142.1 g/mol = 0.0965 mol

Use the mole ratio to find the number of moles of sulfuric acid produced:

From the balanced equation, we see that 2 moles of HCl react with 1 mole of Na2SO4 to produce 1 mole of H2SO4.

So, the number of moles of H2SO4 produced = (0.0965 mol Na2SO4) x (1 mol H2SO4 / 1 mol Na2SO4) = 0.0965 mol H2SO4

Calculate the mass of sulfuric acid produced:

molar mass of H2SO4 = 1(2.0 g/mol) + 1(32.1 g/mol) + 4(16.0 g/mol) = 98.1 g/mol

mass of H2SO4 = moles x molar mass = 0.0965 mol x 98.1 g/mol = 9.50 g

Therefore, 9.50 grams of sulfuric acid are produced when hydrochloric acid reacts with 13.7 grams of sodium sulfate.

The chemical potential energy in an endothermic reaction can best be described as products having a higher chemical potential energy than reactants.

The chemical potential energy in an endothermic reaction can best be described as:

"Products have higher chemical potential energy than reactants."

In an endothermic reaction, energy is absorbed by the system, and the products of the reaction have a higher potential energy than the reactants. This increase in potential energy is typically in the form of heat, which is absorbed from the environment.

Therefore, the correct option products have higher chemical potential energy than reactants.

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Readers may want to continue reading a work if they are intrigued by the characters, interested in the plot, or invested in the themes and messages presented.

In general, act sets the stage for the rest of the work, introducing key characters, establishing conflicts, and setting the tone and mood.

If a reader finds these elements compelling or engaging, they may be motivated to continue reading to see how the story unfolds and how the characters develop. Additionally, Act I may introduce questions or mysteries that pique the reader's curiosity and encourage them to keep reading to find the answers.

Thus, a reader may want to continue reading a work if they are in interested in the plot.

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The new volume of the ideal gas is 28.9 liters when heated from 268K to 343K and the pressure is increased from 5.16atm to 8.00atm.

This can be calculated using the Ideal Gas Law: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

First, calculate the number of moles of the ideal gas, n = PV/RT. Plug in the given values, and rearrange for n: n = (5.16atm)(35.0L)/(8.314L∙K⁻¹∙mol⁻¹)(268K) = 0.41mol.

Then, calculate the new volume of the gas, V = nRT/P. Plug in the given values, and rearrange for V: V = (0.41mol)(8.314L∙K⁻¹∙mol⁻¹)(343K)/(8.00atm) = 28.9L.

Therefore, the new volume of the ideal gas is 28.9 liters when heated from 268K to 343K and the pressure is increased from 5.16atm to 8.00atm.

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Answer: When a halide is attached to a diene, it is considered an electron-withdrawing group.

A halide is a chemical compound containing one or more halogens, which are a group of chemically related elements that are used in various industries. In organic chemistry, halogens are considered to be a powerful electron-withdrawing group.

When halogens are attached to an organic molecule, they decrease its electron density by drawing electrons away from the rest of the molecule.The reason halogens are electron-withdrawing is because of their electronegativity. They have a high electronegativity value, which means they have a strong pull on electrons.

This strong pull on electrons causes the halogen to become electron-deficient and leads to it withdrawing electrons from other parts of the molecule to stabilize itself.When a halide is attached to a diene, it is considered an electron-withdrawing group. The reason for this is because of the halogen's electronegativity.

The halogen in the halide group has a high electronegativity value, which causes it to withdraw electrons from the diene, which is an electron-rich molecule. This withdrawal of electrons reduces the electron density of the diene and makes it less reactive.


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In order to determine the pH of the unknown HCl solution, a titration calculation must be performed and the pH is 0.903.

1. Before the titration of the HCl solution with the KOH solution,

Let's calculate the number of moles of KOH using the formula given below:

Number of moles of KOH = concentration of KOH × volume of KOH solution

Number of moles of KOH = 0.890 M × 0.035 L

                                          = 0.03115 mol

We now convert moles of KOH to moles of HCl to find the concentration of HCl using the equation given below:

Moles of KOH = Moles of HCl

0.03115 mol KOH = Moles of HCl

25 mL of HCl = 0.025 L of HCl

Therefore, the concentration of HCl = 0.03115 mol / 0.025 L

                                                            = 1.246 M

We have now found the concentration of the HCl solution to be 1.246 M.

2. To find the pH of HCl, let's first recall that the concentration of H+ ions in a solution of a strong acid is equal to its concentration.

Since HCl is a strong acid, its pH can be found using the formula:

pH = -log[H+]

pH = -log[1.246]

pH = 0.903

Hence, the pH of the unknown HCl solution is 0.903.

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To calculate the mass of CH4N2O dissolved,

we need to follow these steps:

1. Determine the freezing point depression:
ΔTf = T(freezing point of pure X) - T(freezing point of solution) = -0.10°C - (-2.1°C) = 2°C

2. Calculate the molality (m) of the solution using the freezing point depression constant (Kf) and the freezing point depression (ΔTf):
ΔTf = Kf × m
m = ΔTf / Kf = 2°C / 2.85°C·kg/mol = 0.7018 mol/kg

3. Find the moles of CH4N2O in the solution:
moles of CH4N2O = molality × mass of solvent (in kg)
moles of CH4N2O = 0.7018 mol/kg × 0.600 kg = 0.4211 mol

4. Calculate the mass of CH4N2O using its molar mass (60.06 g/mol):
mass of CH4N2O = moles × molar mass = 0.4211 mol × 60.06 g/mol = 25.29 g

Rounded to 2 significant digits,

the mass of CH4N2O dissolved is 25 g.

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Part 1: The average kinetic energy of the water molecules is higher in Beaker B than in Beaker A and C.

Part 2: The thermal energy of the water in Beaker C is higher than in Beaker A and B due to the larger amount of water.

Part 3: The temperature of the mixed water would be closer to 50 °C since Beaker A and C have the same initial temperature and the larger amount of water in Beaker C would lower the overall temperature.

Brief explaination:

Part 1: The average kinetic energy of water molecules is directly proportional to temperature. Therefore, the water molecules in Beaker B with a temperature of 70 °C have the highest average kinetic energy, followed by the water molecules in Beaker A and C, both at 50 °C.

Part 2: Thermal energy is directly proportional to temperature and mass of water. Beaker B has more thermal energy than Beaker A due to its higher temperature. Beaker C has the most thermal energy due to its higher mass.

Part 3: Combining the three beakers without heat loss results in a total thermal energy equal to the sum of each beaker's thermal energy. Beaker C's higher thermal energy dominates, making the mixed water temperature closer to 50°C, the temperature of Beaker C.

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Percentage of isoborneol present in the sample is 41.4%.

The percentage of isoborneol, you need to divide the integration value of isoborneol (3.374) by the sum of the integrations of both compounds (4.765 + 3.374). This is equivalent to 3.374/8.139 = 0.414.

Multiplying by 100 gives the percentage of isoborneol as 41.4%.

Integration values are used to measure the relative abundance of a compound in a mixture.

In an NMR spectrum, integration values are calculated from the area under the peak, which is proportional to the amount of that particular compound in the sample.

The integration of a peak is a measure of the number of equivalent protons, which are contributing to that signal.

In this case, the integration value of borneol was 4.765, and the integration value of isoborneol was 3.374.

By dividing the integration value of isoborneol by the sum of both integrations, we can calculate the percentage of isoborneol present in the mixture. This value was 41.4%.

Overall, integration values are important when determining the relative amount of different compounds present in a sample.

In the case of Jeanette's experiment, she used an NMR spectrometer to determine the integration values of borneol and isoborneol, and calculated the percentage of isoborneol present in the sample to be 41.4%.

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Answer:

The operation of a bomb calorimeter is similar to that of a coffee cup calorimeter, but there is one significant distinction: With a bomb calorimeter, the reaction occurs in a sealed metal container that is submerged in water in an insulated container.

Explanation:

Hope this helps!

Type answer: 63%, Percentage of Calories from Carbohydrates = 75%

Given data

Calories from Carbohydrates = Total Carbohydrates x 4

                          = 21 g x 4

                          = 84 Calories

Percentage of Calories from Carbohydrates =

(Calories from Carbohydrates / Total Calories) x 100

                                        = (84 / 112) x 100

                                        = 0.75 x 100

                                        = 75%

This nutrition label displays the number of Calories, Total Fat, Total Carbohydrates, and Protein. There are 112 Calories, 0g of Total Fat, 21g of Total Carbohydrates, and 7g of Protein. This accounts for 63% of the total Calories, with the majority coming from Total Carbohydrates.

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To calculate the mass of sodium benzoate needed to obtain a buffer with a pH of 4.20, use the Henderson-Hasselbalch equation.

The Henderson-Hasselbalch equation states that the pH of a buffer is equal to the pKa of the acid plus the logarithm of the ratio of the concentrations of the conjugate base and acid.

Using this equation, we can calculate the mass of sodium benzoate needed as follows: first, we need to calculate the ratio of the concentrations of the conjugate base (sodium benzoate) and the acid (benzoic acid). This ratio is equal to the concentration of the conjugate base divided by the concentration of the acid.

For the given solution, the concentration of the acid is 0.15 M and the concentration of the conjugate base is equal to the desired pH of 4.20 (as the pKa of benzoic acid is 4.20). Therefore, the ratio of the concentrations is 4.20/0.15.

Next, we use the Henderson-Hasselbalch equation to calculate the mass of sodium benzoate needed. The equation states that the pH of a buffer is equal to the pKa of the acid (4.20) plus the logarithm of the ratio of the concentrations of the conjugate base and acid.

As the ratio of the concentrations is 4.20/0.15, the logarithm of this ratio is 1.862. Therefore, the pH of the buffer is equal to 4.20 + 1.862, or 6.062.

Finally, we can calculate the mass of sodium benzoate needed by multiplying the molarity of the solution (142.0 mL) by the concentration of the conjugate base needed for a pH of 6.062. This yields a mass of sodium benzoate of 8.68 grams.

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