PA and PB are the vapour pressure of pur...

`P_A and P_B` are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If `x_A` represents the mole fraction of component A, the total pressure of the solution will be

`P_A + x_A (P_B-P_A)`

`P_A + x_A(P_A-P_B)`

`P_B + x_A (P_B-P_A)`

`P_B + x_A(P_A-P_B)`

Text Solution

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The correct Answer is:

According to Raoult.s law, `P=x_AP_A + x_BP_B` ... (i)
For binary solutions, `x_A + x_B = 1, X_B = 1 – x_A` ... (ii)
Putting value of xg from eqn. (ii) to eqn. (i)
`P=x_AP_A + (1 – x_A)P_B = x_AP_A + P_B-P_B -x_AP_B`
`P = P_B+x_A(P_A-P_B)`

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