Determine the osmotic pressure of a solution prepared by dissolving `25mg` of `K_(2)SO_(4)` in `2L` of water at `25^(@)C`, assuming that it is completely dissociated.

Options

A. `5.27xx10^(-4)atm`
B. `5.27xx10^(-3)atm`
C. `5.27xx10^(-2)atm`
D. `5.27xx10^(-1)atm`

Answer

B

Explanation

`"Given, "K_(2)SO_(4)" dissolved"=25mg=0.025g`
` "Volume=2L,Temperature T "=298K`
`" and molar mass of"K_(2)SO_(4)=174g " mol"^(-1)`
`K_(2)SO_(4)" dissociate into "2K^(+)SO_(4)^(2-),i=3,`
`pi=iCRT=ixx(w)/(M)xx(nxxRT)/(V)`
`=3xx(0.025)/(174)xx(1)/(2)xx0.0821xx298,`
`pi=5.27xx10^(3)atm`