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Calculate the freezing point of an aqueo...

Calculate the freezing point of an aqueous soltuion of non-electrolyte having an osmotic pressure `2.0 atm` at `300 K`. (`K'_(f) = 1.86 K mol^(-1) kg` and `S = 0.0821` litre atm `K^(-1) mol^(-1)`)

A

`-0.15^(@)C`

B

`+0.15^(@)C`

C

`-0.51^(@)C`

D

`-0.17^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A

`pi = CRT`
`:. C = (pi)/(RT)`
`=(2.0 atm)/((0.0821 L atm K^(-1) mol^(-1))xx(300K))`
`=0.0812 mol L^(-1) =0.0812 M ~~0.0812 m`
`( :'` solution is very dilute)
`Delta T_(f) = K_(f)m = (1.86 Km^(-1)) xx (0.0812m)`
`=0.15K = 0.15^(@)C`
`:.` Freezing point `= (0.00 - 0.15)^(@)C =- 0.15^(@)C`.
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