Chemistry - Chemical Kinetics Question with Solution | TestHub

For the reaction, $A_{(g)}⟶B_{(g)}+C_{(g)}$ $\begin{array}{llll}t=0& P_i& 0& 0\\ t& \left(P_i-x\right)& x& x\end{array}$ Given: $P_i$ is initial pressure at time, $t=0$ and $P_t$ is pressure at time ' $t$ '. $P_t=\left(P_i-x\right)+x+x=P_i+x$ $x=P_t-P_i$ Here, $P_A=P_i-x\Rightarrow P_i-\left(P_t-P_i\right)$ $P_A=2P_i-P_t$ $k=\frac{2.303}{t}\log \frac{P_i}{P_A}$ $k=\frac{2.303}{t}\log \frac{P_i}{\left(2P_i-P_t\right)}$