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Molar heat capacity at constant volume is given by:

Correct answer: C. dU/dT

  • A. dQ/dN
  • B. dQ/dP
  • C. dU/dT
  • D. dU/dV

Explanation

c) dU/dT: This expression represents the change in internal energy (U) per change in temperature (T) of a substance. Molar heat capacity at constant volume (Cv) is defined as the change in internal energy per change in temperature at constant volume. So, this option is correct.

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About Molar Specific Heat of a Gas

Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.

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