The pressure (in atm ) at which 3 1 th of the total amount (by mol ) of liquid solution taken initially, will be present in the vapour form, is : Given : 57 = 7.55

Question

The pressure (in atm ) at which 3 1 ​ th of the total amount (by mol ) of liquid solution taken initially, will be present in the vapour form, is : Given : 57 ​ = 7.55

TestHub · Accepted Answer

y A ​ = 10 n A ​ ​ x A ​ = 20 10 − n A ​ ​ 10 n A ​ ​ P T ​ = 20 10 − n A ​ ​ × 0.6 n B ​ n A ​ ​ = 20 − n B ​ 10 − n A ​ ​ × 3 2 ​ n A ​ n B ​ − 60 n A ​ + 20 n B ​ = 0 − n A 2 ​ + 10 n A ​ − 60 n A ​ + 20 n A ​ + 200 = 0 n A ​ = 2 − 70 ± 4900 + 800 ​ ​ P T ​ = 20 7.25 × 0.6 + 12.75 × 0.9 ​ = 0.791 ​ y B ​ = 10 n B ​ ​ x B ​ = 20 20 − n B ​ ​ 10 n B ​ ​ P T ​ = 20 20 − n B ​ ​ × 0.9 60 n A ​ − 3 n A ​ n B ​ = 20 n B ​ − 2 n A ​ n B ​ n A ​ ( 10 − n A ​ ) − 60 n A ​ + 20 ( 10 − n A ​ ) = 0 n A 2 ​ + 10 n A ​ − 200 = 0 n A ​ = 2.75 n B ​ = 7.75 ​

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