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At what relative humidity with Na(2)SO(4...

At what relative humidity with `Na_(2)SO_(4)` be deliquescent (absorb moisture) when exposed to the air at `0^(@ )C` ? Given
`Na_(2)SO_(4).10H_(2)O(s) hArr Na_(2)SO_(4)(s) +10H_(2)O(g), K_(p)=4.08xx10^(-25)` and vapour pressure of water at `0^(@)C =4.58` Torr ?

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Equilibrium constants are given (in atm) for the following reactions at 0^(@) C. SrCl_(2).6H_(2)O(s) hArr SrCl_(2).2H_(2)O(s) + 4H_(2)O(g) , K_(p) = 5 xx 10^(-12) Na_(2)HPO_(4). 12H_(2) O(s) hArr Na_(2) HPO_(4). 7H_(2) O(s) + 5H_(2)O(g), K_(p) = 2.43 xx 10^(-13) Na_(2) SO_(4).10H_(2)O(s) hArr Na_(2) SO_(4) (s) + 10 H_(2) O(g), K_(p) = 1.024 xx 10^(-27) The vapour pressure of water at 0^(@) is 4.56 torr. At what relative humidity will Na_(2) SO_(4) be deliquescent (ie., absorb moisture when exposed to the air) at 0^(@) C ?