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For the equilibrium CuSO(4)xx5H(2)O(s)hA...

For the equilibrium `CuSO_(4)xx5H_(2)O(s)hArrCuSO_(4)xx3H_(2)O(s) + 2H_(2)O(g)`
`K_(p) = 2.25xx10^(-4)atm^(2)` and vapour pressure of water is `22.8` torr at 298 K. `CuSO_(4)` . `5H_(2)O(s)` is efflorescent (i.e., losses water) when relative humidity is :

A

less than `33.3%`

B

less than `50%`

C

less than `66.6%`

D

above `66.6%`

Text Solution

Verified by Experts

The correct Answer is:
B
`CuSO_(4).5H_(2)O(s)hArrCuSO_(4).3H_(2)O(s)+2H_(2)O(g) K_(p)=2.25xx10^(-4)`
`K_(p)=P^(2)_(H_(2)O)=2.25xx10^(-4) P_(H_(2)O)=1.5xx10^(-2)`
Vapour `Pr=(22.8)/(760)=3xx10^(-2) R.H.=P_(H_(2)O)/(V.P.)xx100=50%`
Therefore, (B) option is correct.
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