Insulin `(C_(2)H_(10)O_(5))_(n)` is dissolved in a suitable solvent and the osmotic pressure `pi` of the solution of various concentration ( in `kg//m^(3))` is measured at `20^(@)C`. The slpe of a plot of `pi` against c is found to be `8.134xx10^(-3)` ( SI units ). The molecular weight of the insulin ( in `kg//mol)` 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=293 k]`
`M=(8.314xx293)/(8.314xx10^(-3))=293xx10^(3)`