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Question

From relative lowering of vapour pressure , molecular mass of non-volatile solute can be determined.
Which of the following relations is correct?
Here,
PA is vapour pressure of pure solvent
PS is vapour pressure of solution
wA,wB are mass of solvent and solute respectively
MA,MB are molecular masses of solvent and solute respectively

A
MB=wB×MA×PSwA×(PAPS)
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B
MB=wA×MA×PSwB×(PAPS)
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C
MB=wB×(PAPS)wA×MA×PS
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D
None of the above
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Solution

The correct option is A MB=wB×MA×PSwA×(PAPS)
Relative lowering of vapour pressure
When the solution is not dilute
(PAPS)PA=nBnA+nB
On reversing the equation:
PAPAPS=1+nAnB

PAPAPS1=nAnB

PSPAPS=nAnB

PAPSPS=nBnA

PAPSPS=wB×MAwA×MB

MB=wB×MA×PSwA×(PAPS)

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