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Q.

The total vapour pressure of a binary solution is given by  P=(80XA+240XB)mm  Hg
Where XA   and  XB are the mole fractions of components A and B in the liquid mixture Choose the correct statement(s) from the following:
 

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a

Vapour pressure of solution is less than that of the pure B component.

b

Vapour pressure of solution is more that that of pure A component.

c

Vapour pressure of pure A is 80 mm of Hg and that of pure B is 240 mm Hg

d

The vapour pressure of pure A and B are 240 and 80 mm Hg respectively.

answer is A, B, C.

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Detailed Solution

For option (A)
P=80XA+240XB  =80XA+240(1XA) =240+XA(80240)  =240160XA     
 V.P of solution is less than 240 mm Hg which is V.P of pure (B)
For option (B)
 P=80XA+240XB  =80(1XB)+240XB =80+XB(24080)  =80+160XB    
 V.P of solution is less than 80 mm Hg which is V.P of pure (A)
For option (C)
P=80XA+240XB    For pure (A),  XA=1  and  XB=0
V.P of pure (A) = 80 mm Hg   Similarly
 V.P of pure (B) =240 mm Hg
 

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