Equilibrium: JEE Main 2025 Chemistry question

37.8 g $\mathrm{N_2O_5}$ was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K $\mathrm{2N_2O_{5(g)}\rightleftharpoons2N_2O_{4(g)}+O_{2(g)}}$ The total pressure at equilibrium was found to be 18.65 bar. Then, $K_p=$ ____ $\times10^{-2}$ [nearest integer] Assume $\mathrm{N_2O_5}$ to behave ideally under these conditions. Given: $R=0.082\ \mathrm{bar\,L\,mol^{-1}\,K^{-1}}$