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A solution cantains 0.8960 g of K(2)SO(4...

A solution cantains 0.8960 g of `K_(2)SO_(4)` in 500 mL. Its osmotic pressure is found to be 0.69 atm at `27^(@)C`. Calculate the value of Van't Hoff factor.

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Calculation of observed molar mass of `K_(2)SO_(4)`
`M_(B)=(W_(B)xxRxxT)/(nxxV)`
`W_(B)=0.8960 g V=500/1000= 0.5L, T=27.^(@)C=300 K`
`R=0.0821 L atm K^(-1), pi=0.69 atm`
`M_(B)=((0.8960 g)xx(0.821 L atm K^(-1)mol^(-1))xx(300K))/((0.69 atm)xx(0.5L))=63.97 g mol^(-1)`
Calculation of Van't Hoff factor
Normal molar mass of `K_(2)SO_(4)=2xx39+32+4xx16=78+32+64=174 g mol^(-1)`
`"Van't Hoff factore (i)"=(" Normal molar mass ")/("Observed molar mass")=((174g mol^(-1)))/((63.97 g mol^(-1)))=2.72`
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