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

`piV=CRT`
`(pi_(1))/(pi_(2))=(C_(1)RT_(1))/(C_(2)RT_(2))`
`pi_(1)=P,pi_(2)=2atm, C_(1)=C,C_(2)=(C)/(2)`
`T_(1)=600K, T_(2)=700K`
`(P)/(2)=(2xxCxxRxx600)/(CxxRxx700)`
`P=(24)/(7)`