The osmotic pressure of a solution of an organic substance containing 18g in one litre of solution at 293K is 2.414×105Nm−2. Find the molecular mass of the substance if S=8.3JK−1 per mol
A
181.33
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B
173.33
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C
160.33
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D
152.33
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Solution
The correct option is A181.33 Applying the equation,
PV=wm⋅RTorm=wPV⋅RTGiven, P=2.414Nm−2,V=1.0lit=1×10−3m3,R=8.3JK−1per mol,w=18 g and T=293K m=182.414×105×1×10−3×8.3×293=181.33g