At particular temperature `K_(c)=4xx10^(-2)` for the reaction
`H_(2)S(g)hArrH_(2)(g)+1/2S_(2)(g)`
Calculate `K_(c)` for each of the following reaction.
(i) `2H_(2)S(g)hArr2H_(2)(g)+S_(2)(g)`
(ii) `3H_(2)S(g)hArr3H_(2)(g)+3/2S_(2)(g)`

Explanation

`K_(c)=4xx10^(-2)` for the reaction,
`H_(2)S(g)hArrH_(2)(g)+1/2S_(2)(g)`
`K_(c)=([H_(2)][S_(2)]^(1/2))/([H_(2)S])`
`rArr4xx10^(-2)=([H_(2)][S_(2)]^(1/2))/([H_(2)S])`
(i) For the reaction,
`2H_(2)S(g)hArr2H_(2)(g)+S_(2)(g)`
`K_(c)=([H_(2)]^(2)[S_(2)])/([H_(2)S]^(2))`
`=(4xx10^(-2))^(2)=16xx10^(-4)`
(ii) For the reaction,
`3H_(2)S(g)hArr3H_(2)(g)+3/2S_(2)(g)`
`K_(c)=([H_(2)]^(3)[S_(2)]^(3/2))/([H_(2)S]^(3))`
`=(4xx10^(-2))^(3)=64xx10^(-6)`