Chemistry › CHEMICAL KINETICS › Rate law
Integrated rate law equation for a first order gas phase reaction is given by (where \(P_i\) is initial…
Integrated rate law equation for a first order gas phase reaction is given by (where \(P_i\) is initial pressure and \(P_t\) is total pressure at time \(t\))
\(k=\frac{2.303}{t} \times \log \frac{P_i}{\left(2 P_i-P_tight)}\) \(k=\frac{2.303}{t} \times \log \frac{2 P_i}{\left(2 P_i-P_tight)}\) \(k=\frac{2.303}{t} \times \log \frac{\left(2 P_i-P_tight)}{P_i}\) \(k=\frac{2.303}{t} \times \frac{P_i}{\left(2 P_i-P_tight)}\)
Solution
\(\begin{array}{llll}\mathrm{A} ightarrow & \mathrm{B} & + & \mathrm{C} \\ \mathrm{P}_{\mathrm{i}} & \mathrm{0} & & \mathrm{0} \\ \mathrm{P}_{\mathrm{i}}-\mathrm{x} & \mathrm{x} & & \mathrm{x}\end{array}\)
The formula used here is:
\(\begin{aligned}
& k=\frac{2.303}{t} \log \frac{P_i}{P_t} \\
& P_t=P_i+x \\
& P_i-x=P_i-P_t+P_i \\
& =2 P_i-P_t \\
& k=\frac{2.303}{t} \times \log \frac{P_i}{\left(2 P_i-P_tight)}
\end{aligned}\)
Hence, the answer is option A.
,
Asked in: JEE-TOPICTESTS-CHEMISTRY
Practice more CHEMICAL KINETICS questions on Aicharya