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A solution contains 0.8133 g of K(2)SO(4...

A solution contains `0.8133 g` of `K_(2)SO_(4)` in `500 mL`. If osmotic pressure is found to be `0.69 atm` at `27^(circ)C`. Calculate the value of van't Hoff's factor.

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The correct Answer is:
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Given, `w = 0.8133g, V = (500)/(1000) litre`,
`T = 300 K`, `pi = 0.69 atm`.
Now, `piV = (w)/(m)ST`
`0.69 xx (500)/(1000) = (0.8133)/(m) xx 0.0821 xx 300`
`:. m = 58.06`
`because` van't Hoff factor, `i = ("Normal mol.wt.")/("Exp.mol.wt.")`
`:. i = (174)/(58.06) ~~ 3` , `(because "mol.wt. of" K_(2)SO_(4) = 174)`
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