If increase in boiling point of 1 molal glucose solution is 2K increase in freezing point of 2 molal glucose solution is also 2K. Then state the relationship of `K_(b)` and `K_(f)`.

Options

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

Answer

C

Explanation

`(Delta T_(b))/(Delta T_(f))=(i xx m xx K_(b))/(i xx m xx K_(f))`
`therefore (2)/(2)=(1xx1xx K_(b))/(1xx2xx K_(f))`
`therefore K_(b)=2K_(f)`