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Chemistry · THERMODYNAMICS
हिन्दीFor an ideal gas, the difference between molar heat capacity at constant pressure and at constant volume is given by \( C_p - C_v = R \). This relationship is derived using the relation:
Correct answer · Option 2
\( \Delta H = \Delta U + \Delta(pV) \)
Explanation
By definition, \( \Delta H = \Delta U + \Delta(pV) \). For 1 mole of an ideal gas, \( pV = RT \), so \( \Delta H = \Delta U + R\Delta T \), leading to \( C_p\Delta T = C_v\Delta T + R\Delta T \), hence \( C_p - C_v = R \).
