At temperature `327^(@)C` and concentration C, the osmotic pressure of a solution is P. The same solution at concentration C/2 and a temperature `427^@C` of shows osmotic pressure of 2 atm. The value of P will be :

Options

A. `(12)/(7)`
B. `(24)/(7)`
C. `(6)/(5)`
D. `(5)/(6)`

Answer

B

Explanation

`pi V=CRT`
`(pi_(1))/(pi_(2))=(C_(1)RT_(1))/(C_(2)RT_(2))`
`pi_(1)=P, pi_(2)=2` atm. `C_(1)=C, C_(2)=(C )/(2)`
`T_(1)=600K, T_(2)=700 K`
`(P)/(2)=(2xxC xx R xx600)/(C xx R xx 700)`
`P=(24)/(7)`.