For reaction: SO_2( g )+1/2 O_2( g ) ⇌ SO_3( g ) K_p =2 × 10^12 at 27^° C and 1 atm pressure. The K_c for the same reaction is ____ × 10^13. (Nearest…

For reaction : $\displaystyle \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_3(\mathrm{~g})$ $\displaystyle \mathrm{K}_{\mathrm{p}}=2 \times 10^{12}$ at $\displaystyle 27^{\circ} \mathrm{C}$ and $\displaystyle 1$ atm pressure. The $\displaystyle \mathrm{K}_{\mathrm{c}}$ for the same reaction is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{13}$. (Nearest integer) (Given $\displaystyle \mathrm{R}=0.082 \mathrm{~L}$ atm $\displaystyle \mathrm{K}^{-1} \mathrm{~mol}^{-1}$ )