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At 27^(@)C, 36 g of glucose per litre ha...

At `27^(@)C`, `36 g` of glucose per litre has an `O.P.` of `4.92 atm`. If the osmotic pressure of solution is `1.5 atm` at the same temperature, what should be its concentration?

Text Solution

Verified by Experts

Given that, `pi_(1) = 4.92 atm`, `pi_(2) = 1.5 atm`
`C_(1) = (36)/(180 xx 1) (because C = (w)/(mxx V))C_(2) = `?
`pi_(1)V_(1) = n_(1)ST_(1)`
`pi_(2)V_(2) = n_(2)ST_(2)`
At same temperature,
`(pi_(1))/(pi_(2)) = (n_(1))/(V_(1)) xx (V_(2))/(n_(2)) = (C_(1))/(C_(2))`
`:. (4.92)/(1.5) = (36)/(180 xx C_(2))`
`:. C_(2) = 0.061 mol//litre`
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