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Question

Question: The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a...

The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of 10 dm3 to a volume of 100 dm3 at 270C is :

A

38.3 J mol–1 K–1

B

35.8 J mol–1 K–1

C

32.3 J mol–1 K–1

D

42.3 J mol–1 K–1

Answer

38.3 J mol–1 K–1

Explanation

Solution

Δ\DeltaS = nR ln V2V1\frac{V_{2}}{V_{1}} = 2.303 nR log V2V1\frac{V_{2}}{V_{1}}

= 2.303 × 2 × 8.314 × log 10010\frac{100}{10}= 38.3 J mol–1 K–1