Insulin `(C_(2)H_(10)O_(5))_(n)` is dissolved in a suitable solvent and the osmotic pressure `(pi)` of solutions of various concentrations `(g//cm^(3))C` is measured at `20^(@)C`. The slope of a plot of `pi` against `C` is found to be `4.65 xx 10^(-3)`. The molecular weight of insulin is:

Options

A. `4.8xx10^(5)`
B. `9xx10^(5)`
C. `293xx10^(3)`
D. `8.314xx10^(5)`

Answer

C

Explanation

`pi=CRT`
`pi=(c)/(M)RT C=` moles//liter, `c =kg//m^(3)`
`(pi)/(c)=(RT)/(M)`
M=(RT)/(pi//c) [pi//c=8.314xx10^(-3)]`
`[T=298K]`
`M=(8.314xx293)/(8.314xx10^(-3))=293xx10^(3)`