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_1T_1)/(C_2T_2)`
`pi_1 = P, pi_2 = 2 atm. C_1 = C, C_2 = C/2`
`T_1 = 600 K, T_2 = 700K`
`P/2 = (2 xx C xx 600)/(C xx 700)`
`P = 24/7`