GRE Subject Test: Chemistry : Physical Chemistry

Study concepts, example questions & explanations for GRE Subject Test: Chemistry

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Example Questions

Example Question #1 : Boiling Point

What is the boiling point of a solution composed of three liters of water and 50 grams of sodium chloride?

The molar mass of sodium chloride is .

Possible Answers:

Correct answer:

Explanation:

We can use the boiling point elevation equation in order to determine the new boiling point once the salt has been added:

Since sodium chloride will form two ions for each molecule in solution, the value for the van't Hoff factor will be 2. In addition, the mass of the water in the solution will be 3 kilograms, which can be determined by using the density of water.

Since water boils at 100 degrees Celsius, this means that the final boiling point of the solution is 100.29 degrees Celsius.

Example Question #11 : Physical Chemistry

The vapor pressure of water at 25 degrees Celsius is 22.8mmHg. If three moles of a nonvolatile solute are added to twelve moles of water, what is the new vapor pressure of the solution?

Possible Answers:

A nonvolatile solute will not change the vapor pressure.

Correct answer:

Explanation:

Since the solute is nonvolatile, it does not have an additive vapor pressure, but it will lower the vapor pressure due to taking up surface space in the solution. Using Raoult's law, we can determine the new vapor pressure of the solution:

Here,  is the molar fraction of the water, and  is the original vapor pressure of the water. Since 3 moles of solute were added, water now makes up 80% of the moles in the solution:

Example Question #12 : Physical Chemistry

At 25 degrees Celsius, methanol has a vapor pressure of 95mmHg, and toluene has a vapor pressure of 300mmHg.

What is the vapor pressure of a solution that is 30% methanol and 70% toluene?

Assume that the solution is ideal.

Possible Answers:

Correct answer:

Explanation:

Since both compounds are volatile, they will both contribute to the vapor pressure. Using the percentages of each compound in solution, we can determine the vapor pressure for the mixture:

Parts  and  of the equation represent the molar fractions of the compounds multiplied by the corresponding vapor pressures. Adding these together will equal the new vapor pressure of the solution:

Example Question #1 : Endothermic And Exothermic Reactions

When the enthalpy of a reaction has a value of , which word is used to describe the reaction? 

Possible Answers:

Endothermic

Exothermic

Exergonic

Endergonic

Correct answer:

Exothermic

Explanation:

When the enthalpy of a reaction is negative, it means that heat has been released from the system to the surroundings. This release of energy is referred to as an exothermic reaction.

Endothermic reactions have a net heat flow into the system. Exergonic and endergonic are terms used to describe the change in free energy for a given system.

Example Question #1 : Endergonic And Exergonic Reactions

The equation for the change in Gibbs free energy is given below.

ΔH = change in enthalpy

ΔS = change in entropy

Which of the following scenarios guarantees a nonspontaneous reaction?

Possible Answers:

When ΔH is negative and ΔS is negative

When ΔH is positive and ΔS is negative

When ΔH is negative and ΔS is positive

When ΔH is positive and ΔS is positive

Correct answer:

When ΔH is positive and ΔS is negative

Explanation:

A positive value for ΔG (Gibbs free energy) will guarantee a nonspontaneous reaction. When ΔH (enthalpy) is postive and ΔS (entropy) is negative, the change in Gibbs free energy must be positive and, therefore, nonspontaneous.

Because T (temperature) will always have a positive value, a negative entropy and positive enthalpy will always result in a positive Gibbs free energy.

Example Question #1 : Endergonic And Exergonic Reactions

The equation for the change in Gibbs free energy is given below.

ΔH = change in enthalpy

ΔS = change in entropy

In which of the scenarios will the reaction be spontaneous?

Possible Answers:

When both ΔH and ΔS are postive and T is high

When ΔH is negative and ΔS is postive

When both ΔH and ΔS are negative and T is low

All of these scenarios would result in spontaneous reactions

Correct answer:

All of these scenarios would result in spontaneous reactions

Explanation:

All of the following scenarios would lead to spontaneous reaction, since each scenario would result in a negative Gibbs free energy (-ΔG).

Negative enthalpy, positive entropy:

Positive enthalpy and entropy with high temperature:

Negative enthalpy and entropy with low temperature:

Example Question #81 : Physical Chemistry

Which of the following scenarios describes a reaction in equilibrium?

Possible Answers:

When  is equal to 

When Gibbs free energy is negative

When the forward rate is 0M/s

When the enthalpy is equal to the entropy

Correct answer:

When  is equal to 

Explanation:

According to the Gibbs free energy equation, a system is at equilibrium when  is equal to 0.

Since , a system is in equilibrium when               . A negative Gibbs free energy means that the reaction will be spontaneous. At equilibrium, the forward reaction rate equals the reverse reaction rate, though the net rate is zero.

Example Question #1 : States Of Matter

Which of the following describes a transition from gas to solid?

Possible Answers:

Fusion

Vaporization

Deposition

Crystallization

Sublimation

Correct answer:

Deposition

Explanation:

There are six possible phase changes between the three phases of matter. Deposition describes the change from gas to solid, while sublimation describes the transition from solid to gas. Freezing (crystallization) is the transition from liquid to solid, while fusion (melting) is the transition from solid to liquid. Condensation is the transition from gas to liquid, while vaporization (boiling) is the transition from liquid to gas.

Example Question #122 : Solutions And States Of Matter

If you create a perfect vacuum and place a glass of water into the vacuum at room temperature, what will happen to the water?

Possible Answers:

The water will freeze

The water will float about the vacuum

The water will boil

Nothing will happen

The water will boil very rapidly and then stop

Correct answer:

The water will boil

Explanation:

Boiling occurs when the vapor pressure exceeds the air pressure. There is no air pressure in a vacuum, so water at any temperature will boil in a vacuum.

Example Question #12 : Physical Chemistry

Boiling points at standard temperature and pressure:

Methanol-

Toluene-

Water-

Methylene chloride-

Dimethylsulfoxide-

Of the five compounds given, which will have the highest vapor pressure at standard temperature and pressure?

Possible Answers:

Dimethylsulfoxide

Toluene

Water

Methanol

Methylene chloride

Correct answer:

Methylene chloride

Explanation:

A liquid will boil when its vapor pressure increases to match the pressure of its environment. By this logic, a liquid with a higher vapor pressure will be closer to boiling. Liquids with low boiling points thus have greater vapor pressures.

Of the given compounds, methylene chloride has the lowest boiling point, meaning it will also have the highest vapor pressure.

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