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For the equilibrium CuSO(2).5H(2)O(s)hAr...

For the equilibrium `CuSO_(2).5H_(2)O(s)hArrCuSO_(4).3H_(2)O(s)+2H_(2)O(g)`
`K_(p)=2.25xx10^(-4)atm^(2)` and vapour pressure of water is `22.8 "Torr at" 298K`.
`CuSO_(4).5H_(2)O(s)` is efforescent (i.e., loses water) when relative humidity is:

A

74.46%`

B

`78.46%`

C

`67.85%`

D

`67.85%`

Text Solution

Verified by Experts

The correct Answer is:
C
`K_(p)=P_(H_(2)O)^(2)=4xx10^(-4)`atm
`P_(H_(2)O=2xx10^(-2)` atm
`=2xx10^(-2)xx760` torr
`=15.2` torr
`% "relative humidity"=("Parital pressure")/("Vapour pressure")xx100`
`=(15.2)/(22.4)=xx100=67.85%`
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