JEE Advanced 2016 Paper 2

Next 2 questions are based on the paragraph Thermal decomposition of gaseous X$_{2}$ to gaseous X at $298$ K takes place according to the following equation :X$_{2}$(g)$\rightleftharpoons 2$X(g)The standard reaction Gibbs energy ∆$_{r}$ G°, of this reaction is positive. At the start of the reaction, there is one mole of X$_{2}$ and no X. As the reaction proceeds, the number of moles of X formed is given by β. Thus, β$_{\text{equilibrium}}$ is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally.(Given : R = 0.083 L bar K$-1$ mol$-1$)