Fixed amount of an ideal gas contained in a sealed rigid vessel ( V = 24.6 litre) at 1.0 bar is heated reversibly from 2 7 ∘ C to 12 7 ∘ C . Determine change in Gibb's energy ( in Joule) if entro

Question

Fixed amount of an ideal gas contained in a sealed rigid vessel ( V = 24.6 litre) at 1.0 bar is heated reversibly from 2 7 ∘ C to 12 7 ∘ C . Determine change in Gibb's energy ( in Joule) if entropy of gas S = 10 + 1 0 − 2 T ( J / K )

TestHub · Accepted Answer

dG = V.dP - S.dT ; at const. volume Δ G = V .Δ P − ∫ ( 10 + 1 0 − 2 T ) ⋅ dT T 1 ​ P 1 ​ ​ = T 2 ​ P 2 ​ ​ ⇒ P 2 ​ = 1 × 400/300 Δ G = 24.6 × ( 3 4 ​ − 1 ) × 100 − [ 10 × 100 + 1 0 − 2 × ( 2 T 2 ​ 2 ​ − 2 T 1 ​ 2 ​ ) ] Δ G = 24.6 × 3 1 ​ × 100 − [ 1000 + 1 0 − 2 × ( 2 160000 ​ − 2 90000 ​ ) ] = 24.6 × 3 1 ​ × 100 − 1000 − 350 = − 530 J ]

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