Question

The difference between heat capacity at constant pressure and heat capacity at constant volume is

• A. \( R \)
• B. \( \frac{R}{T} \)
• C. \( \frac{R}{V} \)
• D. 1

Hint:

For ideal gases, the difference between heat capacities at constant pressure and constant volume is always equal to the universal gas constant \( R \).

Answer 1

The Correct Option is A

The difference between heat capacities at constant pressure and constant volume is equal to the gas constant \( R \). This is derived from the thermodynamic relationship for ideal gases, where: \[ C_P - C_V = R \] Where \( C_P \) is the heat capacity at constant pressure and \( C_V \) is the heat capacity at constant volume. Thus, the difference is \( R \).