1.

In atmosphere, `SO_(2)` and `NO` are oxidised to `SO_(3)` and `NO_(2)`, respectively,w hcih react with water to given `H_(2)SO_(4)` and `HNO_(3)`. The resultant solution is called acid rain. `SO_(2)`dissolves in water to form diprotic acid. `SO_(2)(g) +H_(2)O(l) hArr HSO_(3)^(Theta) + H^(o+), K_(a_(1)) = 10^(-2)`. `HSO_(3)^(Theta) hArr SO_(3)^(2-) + H^(o+), K_(a_(2)) = 10^(-7)` and for equilibrium, `SO_(2)(aq) + H_(2)O (l) hArr SO_(3)^(2-)(aq) +2H^(o+)(aq)` `K_(a) = K_(a_(1)) xx K_(a_(2)) = 10^(-9) at 300K`. The dominant equilibrium in an aqueous solution of sodium hydrogen sulphite `(NaHSO_(3))` is `2HSO_(3)^(Theta) (aq) hArr SO_(2) (aq) +SO_(3)^(2-) (aq) + H_(2)O(l)` The equilibrium constant for the above reaction isA. `10^(-3)`B. `10^(-5)`C. `10^(-6)`D. `10^(-9)`

Answer» Correct Answer - B
`K_(a) = (K_(a_(2)))/(K_(a_(1))) = (10^(-7))/(10^(-2)) = 10^(-5)`
`HSO_(3)^(Theta) (aq) hArr SO_(2)(g) + H_(2)O(l) (K_(a_(2)))`
`HSO_(3)^(Theta) (aq) + H^(o+) hArr SO_(2)(g) + H_(2)O(l) ((1)/(K_(a_(1))))`
`ulbar(2HSO_(3)^(Theta)(aq)hArrSO_(2)(g)+SO_(3)^(2-)(aq)+H_(2)O(l))`


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