For a first order reaction $A\left(g\right) \to 2B\left(g\right) + C\left(g\right)$ at constant volume and 300 K, the total pressure at the beginning $(t = 0)$ and at time are $P_0 and P_0$, respectively. Initially, only A is present with concentration ${\left[A\right]}_0$, and  $t_{\frac{1}{3} }$ 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)

• Correct answer
  A

  
• B

  
• C

  
• Correct answer
  D

  

Hence, the correct answer is options: 'A', 'D'.