At what relative humidity with `Na_(2)SO_(4)` be deliquescent (absorb moisture) when exposed to the air at `0^(@ )C` ? Given `Na_(2)SO_(4).10H_(2)O(s) hArr Na_(2)SO_(4)(s) +10H_(2)O(g), K_(p)=4.08xx10^(-25)` and vapour pressure of water at `0^(@)C =4.58` Torr ?A. below 60.5%B. above 60.5%C. above 39.5%D. below 39.5%

At what relative humidity with `Na_(2)SO_(4)` be deliquescent (absorb

1.	At what relative humidity with `Na_(2)SO_(4)` be deliquescent (absorb moisture) when exposed to the air at `0^(@ )C` ? Given `Na_(2)SO_(4).10H_(2)O(s) hArr Na_(2)SO_(4)(s) +10H_(2)O(g), K_(p)=4.08xx10^(-25)` and vapour pressure of water at `0^(@)C =4.58` Torr ?A. below 60.5%B. above 60.5%C. above 39.5%D. below 39.5%
Answer» Correct Answer - B `Na_(2)SO_(4).10H_(2)O(s)hArr Na_(2)SO_(4)(s)+10H_(2)O(g)` `K_(p)=4.08xx10^(-25)` `:. (p_(H_(2)O))^(10)=4.08xx10^(-25)` `p_(H_(2)O)=(4.08xx10^(-25))^((1)/(10))=x("say")` `log x =(1)/(10)log (4.08xx10^(-25))` `=(1)/(10)[log 4.08+log 10^(-25)]` `=(1)/(10)[log 4.08-25]` `=(1)/(10)[0.611-25]` `=0.0611-2.5=bar(3).5611` `x=` antilog `bar(3).5611=3.64xx10^(-3)` `Na_(2)SO_(4)(s)` will absorb water if `R_(H)` is more than `=(3.64xx10^(-3))/(4.58//760)xx100` `=(0.364xx760)/(4.58)=60.4%`

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