At particular temperature `K_C = 4 xx 10^(-2)` for the reaction
`H_2S(g) hArr H_2(g) + 1/2 S_2(g)`
Calculate `K_C` for each of the following reaction
(i) `2H_2S (g) hArr 2H_2(s) + S_2(g)`
(ii) `3H_2S (g) hArr 3H_2(g) + 3/2S_2(g)`

Explanation

`K_C = 4 xx 10^(-2)` for the reaction,
(i) `H_2S(g) hArr H_2(g) + 1/2 S_2(g)`
`K_C = ([H_2][S_2]^(1/2))/([H_2S]^2)= 4xx10^(-2)`
For the reaction, `2H_S(g)hArr2H_2(g)+S_2(g)`
`K_C=([H_2]^2[S_2])/([H_2S]^2)=(4xx10^(-2))^2=16xx10^(-4)`
For the reaction, `3H_2S(g)hArr3H_2(g)+3/2S_2(g)`
`K_C=([H_2]^3[S_2]^(3/2))/([H_2S]^3)=(4xx10^(-2))^(3)=64xx10^(-6)`