Equilibrium: JEE Main 2026 Chemistry question

Dissociation of a gas $\mathrm{A_2}$ takes place according to the following chemical reaction. At equilibrium, the total pressure is 1 bar at 300K. $\mathrm{A_2(g)\rightleftharpoons 2A(g)}$. The standard Gibbs energy of formation of the involved substances has been provided below: [Table — $\Delta G_f^\circ$/kJ $\mathrm{mol^{-1}}$: $\mathrm{A_2}$: $-100.00$; A: $-50.832$]. The degree of dissociation of $\mathrm{A_2(g)}$ is given by $(x\times10^{-2})^{1/2}$ where $x$ = ______. (Nearest integer). [Given: R = 8 J $\mathrm{mol^{-1}K^{-1}}$, log 2 = 0.3010, log 3 = 0.48] Assume degree of dissociation is not negligible.