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For two moles of an ideal gas, C_P - C_V = x*R. What is the value of x?

1. 1
2. 2
3. 1/2
4. 0

Correct answer: 1

Solution

Mayer's relation: for one mole of an ideal gas, C_P - C_V = R (molar heat capacities). This result is per mole and does not depend on the amount of gas. For 2 moles, if we talk about molar heat capacities, C_P - C_V = R, so x = 1. The number of moles is a distractor here. Answer: x = 1.

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