Consider an isothermal reversible compression of one mole of an ideal gas in which the pressure of the system… · ABC26PH0854

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

Consider an isothermal reversible compression of one mole of an ideal gas in which the pressure of the system is increased from 5 atm to 30 atm at 300 K . The entropy change of the surroundings (in $\mathrm{J} \mathrm{K}^{-1}$ ) is ____ (final answer should be rounded off to two decimal places) [Given: $\mathrm{R}=8.314 \mathrm{J} \mathrm{mol}^{-1} \mathrm{K}^{-1}$ ]
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
Answer: +14.90 J K⁻¹ — ΔS(sys) = R ln(P₁/P₂) = 8.314 ln(5/30) = −14.90 J K⁻¹. For a reversible process ΔS(surr) = −ΔS(sys) = +14.90 J K⁻¹.

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