Thermodynamics and ThermochemistrymediumMCQ SINGLE

The average degree of freedom per molecule for a gas is 6. The gas performs 25 J of work when it expThermodynamics and Thermochemistry Chemistry Question

Question

The average degree of freedom per molecule for a gas is 6. The gas performs 25 J of work when it expands at constant pressure. What is the amount of heat absorbed by the gas?

Answer: D

💡 Solution & Explanation

With $f=6$, $C_V = \frac{6}{2}R = 3R$ and $C_P = 4R$. Heat at constant pressure $Q = nC_P\Delta T = 4nR\Delta T$. The work done $W = nR\Delta T = 25\text{ J}$. Consequently, heat absorbed is $Q = 4 \times 25\text{ J} = 100\text{ J}$.

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