A non-volative solute X completely dimerises in water, if the temperature is below `-3.72^(@)C` and the solute completely dissociates as `X rarr Y + Z`, if the temperature is above `100.26^(@)C`. In between these temperature, (including both temperature) X is neither dissociated nor associted. One mole of X is dissolved in `1` kg water.
Given : `K_(b)` of water `= 0.52 K. kg "mol"^(-1)`
`K_(f)` of water `= 1.86 K kg "mol"^(-1)`
Which of the following statement(s) is/are true regarding the solution?

Options

A. The freezing point of solution is `-1.86^(@)C`
B. The boiling point of solution is `101.04^(@)C`
C. When the solution is cooled is `-7.44^(@)C, 75%` of water presents initially will separate as ice.
D. When the solution is heated to `102.08^(@)C, 50%` of water present initially will escape out as vapour.

Answer

A, B, D