The equilibrium constant for the reaction :`2SO_(2(g)) + O_(2(g)) Find the value of `K_p` for each of the following reactions at the same temperature :
(i) `SO_(2(g)) + 1/2 O_(2(g)) (ii) `SO_(3(g)) (iii) `3SO_(2(g)) + O_(2(g))

Explanation

`2SO_(2(g)) +O_(2(g)) (i) `SO_(2(g)) + 1/2 O_(2(g)) `K_i = (K_p)^(1//2) = (2.5 xx 10^10)^(1//2) = 1.58 xx 10^5`
(ii) `SO_(3(g)) `K_(ii) = 1/(K_i) = 1/(1.58 xx 10^5) = 6.3 xx 10^(-6)`
(iii) `3SO_(2(g)) + 3/2 O_(2(g)) `K_(iii) = (K_p)^(3//2) = (2.5 xx 10^10)^(3//2) = 3.95 xx 10^15`