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The osmotic presssure of a solution cont...

The osmotic presssure of a solution containing 50g sucrose per litre of solution at `27^@C` is 3.65 atmosphere. Calculate the value of R.

Text Solution

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Mass of sucrose dissolved per `dm^(3)=50g`
Molar mass of sucrose= 342g
n=50g/342 g `mol^(-1)`
`pi V= nRT`
`R= (pi V)/(n T)= (3.65 "atm" xx 342 g mol^(-1) xx 1 dm^(3))/(50g xx 300K)`
`=0.0832 dm^(3) " atm" K^(-1) mol^(-1)= 0.0832` litre atm `K^(-1) mol^(-1)`
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