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At at certain temperature, the value of the slope of the plot of osmotic pressure `(pi)` against concentration `(C in mol L^(-1))` of a certain polymer solution is 291 R. The temperature at which osmotic pressure is measured is (R is gas constant)

A

`271^(@)C`

B

`18^(@)C`

C

`564 K`

D

`18 K `

Text Solution

Verified by Experts

The correct Answer is:
B
`pi = CRT, (pi)/(C) = RT . ` But slpe = 291 R
`there RT = 291 R rarr T = 291 K`
`therefore R T = (291 - 273)^(2)C = 18^(@)C`
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