# Worksheet: Heat Capacity

In this worksheet, we will practice calculating the heat capacity of an object from the amount of heat exchanged and the change in temperature.

**Q1: **

The heat capacity of a substance can be measured under either constant volume or constant pressure conditions. Which of the following sets of relationships between (heat capacity under constant volume conditions) and (heat capacity under constant pressure conditions) are always true?

- A and
- B approaches a value of 0 as the sample temperature approaches 0 K but increases without bound as the sample temperature is increased.
- C and in all phases
- D , , and

**Q3: **

Two 1-mole blocks of aluminum, one at 273 K and the other at 373 K, are brought into thermal contact. What will the temperature of the two blocks be when they have reached thermal equilibrium? What will the total entropy change that accompanies the thermal equilibration process be? Assume that the two blocks of aluminum are in a container with walls that keep them completely isolated from outside surroundings, and take the heat capacity of the aluminum blocks to be .

- A and
- B and
- C and
- D and

**Q4: **

Complete the following sentence: The JouleβThomson experiment involves an isenthalpic thermodynamic process. The measurements performed in this experiment permit evaluation of the quantity . The observed values of are .

- A in all nonideal gases
- B> 0 only for gases that exhibit ideal-gas behavior
- Cindependent of the initial temperature and pressure of the gas undergoing the JouleβThomson expansion process
- D> 0 for nearly all gases
- E< 0 for nearly all gases

**Q5: **

Consider a 2 mol sample of an ideal gas, with a molar heat capacity , confined to a volume of 5 dm^{3} at a temperature of 300 K. If this gas
sample is heated to 373 K and its volume is allowed to expand to 10 dm^{3}, how much
heat is required to perform this process, and what is the entropy change (of the gas) that accompanies this process?

- A ;
- B ;
- C ; the value of depends on whether the process is carried out reversibly or irreversibly.
- D ;