The molar specific heat at constant volume of an ideal

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The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol-K). When the temperature increases by 100 K, the change in molar specific enthalpy is______J/mol.

1. 2009.9
2. 2909.9
3. 1909.9
4. 2909

Correct Option: B

C_V = 2.5 R (R = 8.314)
C_V = 2.5 × 8.314 = 20.785 J/molK
C_P = R + C_V, n = no. of moles
= 8.314 + 20.785 = 29.099
∆H = ⁿC_P ∆T = 1 × 29.099 × 100 = 2909.9 J/mol