For the reaction, `SO_(2)(g) + (1)/(2)O_(2)(g)hArrSO_(3) (g)`, If `K_(p) = K_(c) (RT)^(x)` where the symbols have usual meaning then, the value of x is (assuming ideality).

Options

A. `-1//2`
B. `-1`
C. `1//2`
D. `1`

Answer

A

Explanation

In general,
`K_(p)=K_(c)(RT)^(Delta n_(g))`
where `Delta_(ng)=(n_(p))_(g)-(n_(R))_(g)`
For the reaction
`SO_(2)(g)+(1)/(2)O_(2)(g)hArrSO_(3)(g)`
`Delta_(ng)=1 - (1+(1)/(2))= -(1)/(2)`
`:. K_(p)=K_(c)(RT)^(-1//2)`