Chemistry · THERMODYNAMICS
हिन्दीFor one mole of an ideal gas, the molar heat capacity at constant pressure (\( C_p \)) is greater than the molar heat capacity at constant volume (\( C_v \)) by \( R \) primarily because:
Correct answer · Option 2
At constant pressure, heat supplied must increase internal energy as well as perform work against external pressure due to expansion.
Explanation
At constant volume, \( w = 0 \), so all heat goes to \( \Delta U \). At constant pressure, \( q_p = \Delta U + p\Delta V = \Delta U + R\Delta T \), requiring additional heat to perform expansion work.