Question

Relation between \(C_p\), \(C_v\) and \(R\)

• A. \(C_p - C_v = R\)
• B. \(C_p + C_v = R\)
• C. \(C_p \times C_v = R\)
• D. \(C_p / C_v = R\)

Hint:

For an ideal gas, remember the relation \(C_p - C_v = R\), which connects the specific heats at constant pressure and constant volume.

Answer 1

The Correct Option is A

The relation between the specific heat capacities at constant pressure (\(C_p\)) and constant volume (\(C_v\)) is given by the equation: \[ C_p - C_v = R \] Where \(R\) is the universal gas constant. This equation is valid for an ideal gas and is derived from the first law of thermodynamics and the ideal gas law. This relation shows that the difference between the specific heat at constant pressure and constant volume is equal to the universal gas constant \(R\). Thus, the correct relation is \(C_p - C_v = R\).