Fixed amount of an ideal gas contained in a sealed regid vessel ( V = 24.6 litre) at 1.0 bar is heated reversibly from 27°C to 127° C. Determine change in Gibb's energy (in J), if entropy of gas

Question

Fixed amount of an ideal gas contained in a sealed regid vessel ( V = 24.6 litre) at 1.0 bar is heated reversibly from 27°C to 127° C. Determine change in Gibb's energy (in J), if entropy of gas S = 10 + 1 0 − 2 T ( J / K )

TestHub · Accepted Answer

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

Chemistry - Thermodynamics - II Question with Solution | TestHub

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