For a first order reaction A ( ~g ) 2 ~B ( ~g )+ C ( ~g ) at constant volume and 300 K…

For a first order reaction \(\mathrm{A}(\mathrm{~g}) \rightarrow 2 \mathrm{~B}(\mathrm{~g})+\mathrm{C}(\mathrm{~g})\) at constant volume and 300 K, the total pressure at the beginning (t - 0) and at time t are \(\mathrm{P}_{0}\) and \(P_{t},\) respectively. Initially, only A is present with concentration \([\mathrm{A}]_{0},\) and \(t_{1 / 3}\) is the time required for the partial pressure of A to reach 1/3^rd of its initial value. The correct option(s) is (are) (Assume that all these gases behave as ideal gases)
(2018)