Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For one mole of an ideal gas, the molar heat capacity at constant volume ( C_v ) is greater than the molar heat capacity at constant pressure ( C_p ) by an amount R . Reason (R): Heating a gas at constant pressure requires additional heat to do work of expansion against the external pressure. In th

Step-by-step solution

Assertion (A) is false because for 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 the universal gas constant R (i.e., C_p - C_v = R , not C_v - C_p = R ). Reason (R) is true. When a gas is heated at constant volume, no expansion work is done, and all the heat supplied increases the internal energy. However, when heated at constant pressure, the gas expands and does work against the external pressure. Therefore, extra heat must