c
\(S O_{3}(g) \rightleftharpoons S O_{2}(g)+\frac{1}{2} O_{2}(g)\)

\(K_{c}=\frac{\left|S O_{2} \| O_{2}\right|^{1 / 2}}{\left|S O_{3}\right|}\)

\(=4.9 \times 10^{-2}\)

On taking the square of the above reaction

\(\frac{\left[S O_{2}\right]^{2}\left|O_{2}\right|}{\left[S O_{3}\right]^{2}}\)

\(=24.01 \times 10^{-4}\)

now \(K_{C}^{\prime}\)

for \(2 S O_{2}(g)+O_{2}(g) \rightleftharpoons 2 S O_{3}\)

\(=\frac{\left|S O_{3}\right|^{2}}{\left[S O_{2}\right]^{2}\left[O_{2}\right]}\)

\(=\frac{1}{24.01 \times 10^{-4}}\)

\(=416\)