5 milli-moles of a solid A was dissolved in 5 moles of `H_(2)O.` On adding to the solvent, A starts polymerising into another insoluble solid following zero order kinetics. On adding 6 milli-moles of another solid solute C (after 20 minute) the polymerisation completely stops. The insoluble solid polymer is removed and the resulting solution was cooled to a temperature less then `.-0.186^(@)C` (freezing point of solution ) to cause solidification of some liquid water . Calculate the value of X if rate constant for polymerisation reaction is represented as `10^(-X)` moles`//`minute.
`[K_(f) (H_(2)O)= 1.86 K - Kg "mole"^(-1)]`

Answer

4