Q.

pA and pB are the vapour pressure of pure liquid components A and B respectively of an ideal binary solution.If xA represents the mole fraction of component A, the total pressure of the solution will be

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pA+xApB−pA

pA+xApA−pB

pB+xApB−pA

pB+xApA−pB

answer is D.

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Detailed Solution

Total pressure,pT=pA′+pB′ …………(i)We know that pA′=pAxA and pB′=pBxB pT=pAxA+pBxB …………(ii)xA+xB=1⇒xA=1−xB or xB=1−xAFrom Eq. (ii)pT=pAxA+pB1−xA=pAxA+pB−pBxApT=pB+xApA−pB

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