An antifreeze solution is prepared by mixing 217.0 g of ethylene glycol `(C_2H_6O_2)` in 200g water. The molality of solution is

Options

A. `15.5 mol kg^(-1)`
B. `17.5 mol kg^(-1)`
C. `18.5 mol kg^(-1)`
D. `20.1 mol kg^(-1)`

Answer

B

Explanation

Molar mass of `C_(2)H_(6)O_(2)= 62g mol^(-1)`
`m= (w_(B))/(m_(B))xx (1000)/(w_(A))`
`=(217)/(62) xx (1000)/(200)= 17.5 mol/kg`