1.

Under what conditions will CuSO_4.5H_2O be efflorescent at 25^(@)C? For the reaction CuSO_4.5H_2O_((s)) harr CuSO_4.3H_2O_((s))+2H_2O_((g)) K_p at 298K is 1086 xx 10^(-4) atm^2 and vapour pressure of water is 23.8 Torr.

Answer»

If relative HUMIDITY `LT` 33.3%, efflorescence takes place
If relative humidity `gt` 33.3%, efflorescence takes place
The salt does not act as efflorescent at `25^(@)C`
The salt effloreses if the vapour pressure of water vapour in atmosphere `lt` 7.92 mm.

Solution :`CuSO_(4).H_(2)O_((s)) harr CUSO_(4).3H_(2)O_((s))+2H_(2)O_((G))`
`K_(P)=P_(H_(2)O)^(2) implies P_(H_(2)O) = sqrt(K_(P))=7.92` mm
Relative humidity = `(P_(H_(2)O))/("vapour pressure of" H_(2)O)`
`=(7.92)/(23.8)=0.333`
% R.H=33.3
`Q lt K`, forward direction
The reaction will PROCEED only when vapour pressure of moisture in atmosphere is lesser than 7.92mm to show efflorescent nature.


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