For equilibrium `ZnSO_(4).7H_(2)O(s)hArrZnSO_(4).2H_(2)O(s)+5H_(2)O(g) K_(P)=56.25xx10^(-10) atm^(5)` and vapour pressure of water is `22.8` torr at `298K.ZnSO_(4).7H_(2)O(s)` is efflorescent (lose water) when relative humidity is `[5sqrt56.25=2.23]`A. less than `70.620%`B. less then `74.60%`C. Above than `74.60%`D. Above 70.60%`

For equilibrium `ZnSO_(4).7H_(2)O(s)hArrZnSO_(4).2H_(2)O(s)+5H_(2)O(g)

1.	For equilibrium `ZnSO_(4).7H_(2)O(s)hArrZnSO_(4).2H_(2)O(s)+5H_(2)O(g) K_(P)=56.25xx10^(-10) atm^(5)` and vapour pressure of water is `22.8` torr at `298K.ZnSO_(4).7H_(2)O(s)` is efflorescent (lose water) when relative humidity is `[5sqrt56.25=2.23]`A. less than `70.620%`B. less then `74.60%`C. Above than `74.60%`D. Above 70.60%`
Answer» Correct Answer - B `K_(P)=P_(H_(2)O)^(5)=56.25xx10^(-10)` `P_(H_(2)O)=(56.25xx10^(-10))^(1//5)` `=(56.25)^(1//5)xx10^(-2)` `=2.23xx10^(-2)xx760` `=17.01` torr `% "Relative humidity"=("Partial pressure")/("Vapour pressure")xx100` `=(17.01)/(22.8)xx100=74.60%` (less than `74.60%`)

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