Δ H vap . of A ( ℓ ) at 200 K & 1 atm is 22 kJ / mol . Calculate the magnitude of difference in the entropy change of surrounding (in J / K − mol ) during vaporisation at 300 K , when surroundings i

Question

Δ H vap ​ . of A ( ℓ ) at 200 K & 1 atm is 22 kJ / mol . Calculate the magnitude of difference in the entropy change of surrounding (in J / K − mol ) during vaporisation at 300 K , when surroundings is at T = 200 K and at T = 300 K . Given: Normal boiling point of A ( ℓ ) = 300 K C p , m o l a r ​ ( A , ℓ ) = 40 J / mol − K C p , m o l a r ​ ( A , g ) = 30 J / mol − K

TestHub · Accepted Answer

Δ H vap o ​ ( 300 K ) = 22 kJ / mol + 1000 ( 30 − 40 ) ​ × 100 = + 21 kJ / mol Δ S vap. o ​ ( Surr, 300 K ) = 300 − 21000 ​ = − 70 J / K ⋅ mol Δ S vap. o ​ ( 200 K , Surr ) = 200 − 21000 ​ = − 105 J / K ⋅ mol ∣Δ S vap o ​ ( surr, T surr ​ = 300 K ) − Δ S vap o ​ ( surr, T surr ​ = 200 K ) ∣ = 35 J / K ⋅ mol

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