Equimolal solutions of KCI and compound X in water show depression in freezing point in the ratio of $$4$$:$$1$$ . Assuming KCI to be completely ionized, the compound X in solution must

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KCI              and      X (p$$ $$moles)                (p$$ $$moles) ∆$$Tf(KCI)=iKfm=2Kfm$$ ∆$$Tf(X)=iKf$$.$$m=14(2Kfm)$$⇒$$i=12$$<$$1$$ $$2X$$       ⇌        $$X2$$   $$1$$                        $$0$$ $$1-$$α                  α$$/2$$ $$i=1-$$α$$+$$α$$2=1-$$α$$2=12$$⇒α$$=100$$% $$3X$$          ⇌         $$X3$$ $$1$$                            $$0$$ $$1-$$α                      α$$/3$$ $$i=1-$$α$$+$$α$$3=1-2$$α$$3=12$$⇒α$$=34=75$$%

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