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) for an ideal gas?

Options:

Correct Answer: Cp = Cv + R

Solution:

For an ideal gas, the relationship is given by Cp = Cv + R, where R is the universal gas constant.

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

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

Correct Answer: Cp = Cv + R

Step 1: Understand what heat capacity means. Heat capacity is the amount of heat 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 for an ideal gas, the heat capacity at constant pressure (Cp) is always greater than the heat capacity at constant volume (Cv).
Step 4: Learn the formula that relates Cp and Cv for an ideal gas: Cp = Cv + R.
Step 5: Identify R as the universal gas constant, which is a specific value (approximately 8.314 J/(mol·K)).
Step 6: Conclude that the difference between Cp and Cv is equal to the universal gas constant (R).

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