Thermodynamics and ThermochemistrymediumMCQ MULTIPLE

An amount of 4 moles of an ideal monoatomic gas expands adiabatically and reversibly by which its teThermodynamics and Thermochemistry Chemistry Question

Question

An amount of 4 moles of an ideal monoatomic gas expands adiabatically and reversibly by which its temperature decreases from $47^\circ\text{C}$ to $17^\circ\text{C}$. Which of the following is/are true?

Answer: A,C

💡 Solution & Explanation

Adiabatic process enforces $q = 0$. $\Delta T = -30\text{ K}$. For a monoatomic ideal gas, $C_p = 5/2 R$. Thus $\Delta H = n C_p \Delta T = 4 \times (2.5 \times 2\text{ cal/K-mol}) \times (-30) = -600\text{ cal}$.

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