The entropy change when an ideal gas under atmospheric conditions at 1 atm and 2 7 ∘ C is allowed to expand from 0.48 L to 0.96 L and also is simultaneously heated to 32 7 ∘ C will be (Given: C v , m

Question

The entropy change when an ideal gas under atmospheric conditions at 1 atm and $2 7^{\circ} C$ is allowed to expand from 0.48 L to 0.96 L and also is simultaneously heated to $32 7^{\circ} C$ will be

(Given: $C_{v, m} = 10.50 c a l K^{- 1} m o l^{- 1}$ and $ln 2 = 0.7$ , $R = 2 c a l K^{- 1} m o l^{- 1} = 0.08 L a t mm o l^{- 1} K^{- 1}$ )

TestHub · Accepted Answer

The number of moles is given by: n = RT P V ​ = 0.02 moles The change in entropy is calculated as: Δ S = n C v , m ​ ln T 1 ​ T 2 ​ ​ + n R ln V 1 ​ V 2 ​ ​ Δ S = 0.02 × 10.5 ln 2 + 0.02 × 2 ln 2 = 0.02 × ( 10.5 + 2 ) × 0.7 = 0.175 C a l K − 1

Chemistry - Thermodynamics - II Question with Solution | TestHub

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