The solution containing `4.0gm` of a polyvinyl chloride polymer in `1` litre dioxane was found to have an osmotic pressure `6.0xx10^(-4)`atmosphere at `300K`,the value of R used is `0.082`litre atmosphere`"mole"^(-1)K^(-1)`.The molecular mass of the polymer was found to be

Options

A. `3 xx 10^(3)`
B. `1.6 xx 10^(5)`
C. `5 xx 10^(4)`
D. `6.4 xx 10^(2)`

Answer

B

Explanation

`piV= W_(2)/M_(2) RT,`
`:. 6 xx 10^(-4) xx 1 = 4/M_(2) xx 0.0821 xx 300,`
`M_(2) = 1.64 xx 10^(5)`