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Is the given relation correct for an aqu...

Is the given relation correct for an aqueous dilute solution of `K_(3)PO_(4)` if its degree of dissociation is `alpha`?

Text Solution

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The correct Answer is:
A, C, D

`DeltaP/P^(@)=n_(2)/n_(1)=(n_(2) xx Mw_(1) xx 1000)/(W_(1) xx 1000)=("Molality" xx Mw_(1))/1000`
For electrolyte `(DeltaP)/P^(@)=(Molality xx M)/(1000) xx (1 + 3alpha)`
`(Mw_(1)=18 "for" H_(2)O)`
also, `pi_(obs)=C xx R xxT (1 + 3alpha)`
`:.DeltaP/P^(@)=(pi_(obs))/(RT) xx 18/1000`
`DeltaT_(f obs)=K_(f) xx "molality" xx (1+ 3alpha)`
`(DeltaP)/P^(@)=(DeltaT_(f obs) xx 18)/(K_(f) xx 100)`
`i=(1 + 3alpha)="Calculated molecular weight"/"Observed molecular weight"`
Therefore, molecular weight of `K_(3)PO_(4)=M_(obs) xx (1 + 3alpha)`
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