Elevation in the boiling point for 1 molal solution of glucose is 2K. The depression in the freezing point for 2 molal solution of glucose in the same solvent is 2K. The relation between `K_(b) and K_(f)` is

Options

A. `K_(b) = 0.5 K_(f)`
B. `K_(b)= 2 K_(f)`
C. `K_(b) = 1.5 K_(f)`
D. `K_(b) = K_(f)`

Answer

B

Explanation

`Delta T_(b) = K_(b) xx m`
`Delta T_(f) = k_(f) xx m`

`(Delta T_(b))/(Delta T_(f)) = (k_(b) xx m)/(k_(f) xx m)`
` (2)/(2) = (k_(b) xx 1)/(k_(f) xx 2)`
`K_(b) = 2k_(f)`