An amount of 4 moles of an ideal monoatomic gas expands adiabatically and reversibly by which its te — Thermodynamics 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°C to 17°C. Which of the following is/are true?
Answer: A,C
💡 Solution & Explanation
Since the process is adiabatic, q = 0 (A correct). For a monoatomic ideal gas, $C_p$ = 2.5R. Δ H = n*$C_p$*dT = 4*2.5R*(290-320) = 10R*(-30) = -300R = -600 cal (taking R = 2 cal/mol·K) (C correct). Δ U = n*$C_v$*dT = 4*1.5R*(-30) = -180R = -360 cal (D incorrect).
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