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One mole of an ideal gas is expanded isothermally and reversibly to half of its initial pressure. ΔS for the process in J K^–1 mol^–1 is

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One mole of an ideal gas is expanded isothermally and reversibly to half of its initial pressure. ΔS for the process in J K–1 mol–1 is [ℓn 2 = 0.693 and R = 8.314, J/(mol K)]

(a) 6.76

(b) 5.76

(c) 10.76

(d) 8.03

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Correct answer: (b) 5.76

Explanation:

For isothermal process (ΔT = 0)

ΔS = R ℓn \(\frac{P_1}{P_2}\) = 8.314 ℓn 2

= 8.314 x 0.693 = 5.76

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