For the reaction N_2 O_4(g) 2 NO_2(g), K_p =0.492 atm at 300 K. K_c for the reaction at same temperature is ____ × 10^-2. (Given: R =0.082 L atm…

For the reaction $\displaystyle \mathrm{N}_2 \mathrm{O}_{4(g)} \rightleftarrows 2 \mathrm{NO}_{2(g)}, \mathrm{K}_{\mathrm{p}}=0.492 \mathrm{~atm}$ at $\displaystyle 300 \mathrm{~K} . \mathrm{K}_{\mathrm{c}}$ for the reaction at same temperature is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-2}$. (Given : $\displaystyle \mathrm{R}=0.082 \mathrm{~L}$ atm $\displaystyle \mathrm{mol}^{-1} \mathrm{~K}^{-1}$ )