For the reaction, `SO_(2)(g)+1/2O_(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`
B. `-(1)/(2)`
C. `(1)/(2)`
D. 1

Answer

B

Explanation

`SO_(2)(g)+(1)/(2)O_(2)(g)hArrSO_(3)(g)`
where `x=Deltan_(g)`= number of gaseous moles in product - number of gaseous moles in reactant
`=1-(1+(1)/(2))=1-(3)/(2)=-(1)/(2)`