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The osmotic pressure of a dilute solutio...

The osmotic pressure of a dilute solution of an compound XY in water is four times that of a solution of 0.01 M `BaCl_(2)` in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of XY in solution is `x xx 10^(–2)` mol/L. The numerical value of x is____.

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The correct Answer is:
6
For `xy`
`i=2` as complete dissociation takes place.
`pi_(xy)=2xx CRT`
For `BaCl_(2)`
`i=3, " " pi_(BaCl_(2))=3xx0.01xxRT=0.03 RT`
As `pi_(xy)=4xx pi _(BaCl_(2))`
`(pi_(xy))/(pi_(BaCl_(2)))=(2xx C xx RT)/(0.03 RT), " " (4 xx pi_(BaCl_(2)))/(pi_(BaCl_(2)))=(2xxC)/(0.03)`
`C=(4xx0.03)/(2xx100)=6xx10^(-2)`
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