What is the relationship between heat capacity at constant pressure (C_p) and at

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

Options:

Correct Answer: C_p > C_v

Solution:

For an ideal gas, the heat capacity at constant pressure (C_p) is greater than the heat capacity at constant volume (C_v).

What is the relationship between heat capacity at constant pressure (C_p) and at constant volume (C_v)?

What is the relationship between heat capacity at constant pressure (C_p) and at constant volume (C_v)?

Step 1: Understand what heat capacity means. It is the amount of heat needed to change the temperature of a substance.
Step 2: Know that there are two types of heat capacity: C_p (at constant pressure) and C_v (at constant volume).
Step 3: Recognize that C_p is used when the pressure of the gas does not change while heating.
Step 4: Understand that C_v is used when the volume of the gas does not change while heating.
Step 5: For an ideal gas, when you heat it at constant pressure (C_p), it can expand and do work, so it needs more heat compared to heating it at constant volume (C_v).
Step 6: Therefore, C_p is always greater than C_v for an ideal gas.

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