When cells of skeletal vacuoles of a frog were placed in a series of `NaCl` solutions of different concentration solution at `25^(@)C`, it was observed microscopically that they remained unchaged in `0.7%` solution, shrank in a more concentrated and swelled in more dilute solution. Water freezes from the `0.7%` salt solutions at `-406^(@)C`. What is the osmotic pressure of the cell cytoplasm at `25^(@)C`. `(K=_(f)=1.86 kg "mol"^(-1) K)`

Explanation

`DeltaT_(f)=K_(f)xxixxC_(m)`
`=K_(f)xx(1+alpha)xx(W/m)xx1000/(W ("in" g))`
`:. 0.406=1.86xx(1+alpha)xx(0.7/58.5)xx(1000/99.3)`
`:.1+alpha=(0.4xx58.5xx100)/(1.86xx0.7xx1000)`
Assuming dilute solution
`100 g H_(2)O =100 mL H_(2)O=0.1 L` solutions
`pi=ixx(n_(2)/V)xxRT=(1+alpha)xxW_(2)/(Mw_(2))xx1/V xxRT`
`=(0.406xx58.5xx100)/(1000xx1.86xx0.7)xx(0.7/58.5)xx(1/0.1)xx0.082xx298`
`=5.34` atm