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Equilibrium constants are given (in atm)...

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). 10H_(2)O` be eflorescent when exposed to air at `0^(C)` ?

A

above 33.33 %

B

below 33.33%

C

above 66.66%

D

below 66.66%

Text Solution

Verified by Experts

The correct Answer is:
B
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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 ?

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