What is the relationship between heat capacity at constant volume (Cv) and heat

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Question: What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?

Options:

Correct Answer: Cp = Cv + R

Solution:

The relationship is Cp = Cv + R for an ideal gas, where R is the gas constant.

What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?

What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?

Step 1: Understand that heat capacity is a measure of how much heat energy is needed to change the temperature of a substance.
Step 2: Know that there are two types of heat capacity: at constant volume (Cv) and at constant pressure (Cp).
Step 3: Recognize that Cv is used when the volume of the gas does not change, while Cp is used when the pressure of the gas does not change.
Step 4: For an ideal gas, there is a specific relationship between Cv and Cp.
Step 5: The relationship is given by the formula Cp = Cv + R, where R is the gas constant.
Step 6: This means that the heat capacity at constant pressure (Cp) is always greater than the heat capacity at constant volume (Cv) for an ideal gas.

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