AIIMS 2011
- Exam
- AIIMS
- Year
- 2011
- Subject
- Chemistry
- Chapter
- Chemical Kinetics
AIIMS 2011 · Chemistry · Chemical Kinetics
For a first order gas phase reaction- A_ (g) arrow 2 B_ (g) +C_ (g)...
For a first order gas phase reaction-
A_{(g)} \rightarrow 2 B_{(g)}+C_{(g)}
be initial pressure of and the total pressure at time ' '. Integrated rate equation is
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
\begin{array}{lccc}
\text{ } & \text{ } & A_{(g)} & \longrightarrow 2 B_{(g)}+C_{(g)} \\
\text{ Initial }: & P_0 & 0 & 0 \\
& P_0-P & 2 P & P
\end{array}
Total pressure at time
\begin{aligned}
\Rightarrow & P_t=P_0+2 P \\
& P_t-P_0=2 P \Rightarrow P=\frac{P_t-P_0}{2} \\
k= & \frac{2.303}{t} \log \left[\frac{P_0}{P_0-P}\right]=\frac{2.303}{t} \log \left[\frac{P_0}{P_0-\left(\frac{P_t-P_0}{2}\right)}\right] \\
= & \frac{2.303}{t} \log \left(\frac{2 P_0}{2 P_0-P_t+P_0}\right)=\frac{2.303}{t} \log \left(\frac{2 P_0}{3 P_0-P_t}\right)
\end{aligned}