Calculate Δ G (in kcal/mole) for process A ( ℓ , 200 K 1 atm ) ⟶ A ( g , 200 K 1 atm ) .

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A ( ℓ , 300 K , 1 atm ) ⇌ A ( g , 300 K , 1 atm ) Δ H 300 ​ A ( ℓ , 200 K , 1 atm ) Δ S 200 ​ Δ G 200 ​ ​ = Δ H 200 ​ + Δ C p ​ Δ T = 25 kcal + ( 40 − 50 ) × ( 300 − 200 ) × 1 0 − 3 = 24 kcal ⟶ A ( ℓ , 300 K , 1 atm ) ⇌ A ( g , 300 K , 1 atm ) ⟶ A ( g , 200 K , 1 atm ) = C p m ( ℓ ) ​ ​ ln 200 300 ​ + 300 Δ H 300 ​ ​ + C p m ( g ) ​ ​ ln 300 200 ​ = 50 ln 200 300 ​ + 300 24 × 1000 ​ + 40 ln 300 200 ​ = 84 cal/mole − K = Δ H 200 ​ − T Δ S 200 ​ = 25 − 200 × 84 × 1 0 − 3 = 8.2 kcal/mole ​

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