Question
If $$1\,g$$ of solute $$\left( {{\text{molar}}\,\,{\text{mass}} = 50\,g\,mo{l^{ - 1}}} \right)$$ is dissolved in $$50\,g$$ of solvent and the elevation in boiling point is $$1\,K.$$ The molar boiling constant of the solvent is
A.
2
B.
3
C.
2.5
D.
5
Answer :
2.5
Solution :
$$\eqalign{
& \Delta {T_b} = {K_b} \times m \cr
& {\text{or}}\,\,\,{K_b} = \frac{{\Delta {T_b}}}{m} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{1}{{\frac{1}{{50}} \times \frac{{1000}}{{50}}}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{5}{2} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = 2.5 \cr} $$