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Twenty grams of a substance were dissolv...

Twenty grams of a substance were dissolved in 500ml. Of water and the osmotic pressure of the solution was found to be 600mm of mercury at `15^(@)"C".` Determine the molecular weight of the substance.

A

1120

B

1198

C

1200

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Here it is given that
`"w"=20" gm","V"=500"ml."=500/1000=0.5"litre"`
`pi=600"mm "=600/760"atm","T"=15+273=288^(@)"A"" m"=?`
According to Van't Hoff equation,
`pi"V"="nST "pi"V"="w"/"m""ST"`
`therefore " m"="wST"/(pi"V")=(20xx0.0821xx288xx760)/(600xx0.5)=1198`
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