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Chemistry · THERMODYNAMICS

हिन्दी

For 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:

  1. The gas undergoes a chemical reaction during heating at constant pressure.
  2. At constant pressure, heat supplied must increase internal energy as well as perform work against external pressure due to expansion.
  3. The intermolecular attractive forces decrease significantly at constant pressure.
  4. At constant volume, the gas expands freely into vacuum doing work.

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.
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