For a first order gas phase reaction: A_{(g)} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The reaction is $A_{(g)} \rightarrow 2 B_{(g)} + C_{(g)}$. Let $P$ be the decrease in pressure of $A$ at time $t$. Initial pressure$P_0$$0$$0$Pres

Vedclass · Accepted Answer

$\frac{2.303}{t} \log \left(\frac{2 P_0}{3 P_0 - P_t}\right)$

Vedclass · Answer

(B) The reaction is $A_{(g)} \rightarrow 2 B_{(g)} + C_{(g)}$. Let $P$ be the decrease in pressure of $A$ at time $t$. Initial pressure$P_0$$0$$0$Pressure at time $t$$P_0 - P$$2P$$P$ Total pressure $P_t = (P_0 - P) + 2P + P = P_0 + 2P$. Therefore,$2P = P_t - P_0$,which gives $P = \frac{P_t - P_0}{2}$. The pressure of $A$ at time $t$ is $P_A = P_0 - P = P_0 - \frac{P_t - P_0}{2} = \frac{2P_0 - P_t + P_0}{2} = \frac{3P_0 - P_t}{2}$. The integrated rate equation for a first order reaction is $k = \frac{2.303}{t} \log \left( \frac{P_0}{P_A} \right)$. Substituting $P_A$: $k = \frac{2.303}{t} \log \left( \frac{P_0}{\frac{3P_0 - P_t}{2}} \right) = \frac{2.303}{t} \log \left( \frac{2P_0}{3P_0 - P_t} \right)$.

For a first order gas phase reaction:
$A_{(g)} \rightarrow 2 B_{(g)} + C_{(g)}$
Let $P_0$ be the initial pressure of $A$ and $P_t$ be the total pressure at time $t$. The integrated rate equation is:

Similar Questions

For the first-order reaction $2N_2O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$,which of the following statements is incorrect?

$A$ first order reaction has a rate constant $1.1 \times 10^{-3} \ s^{-1}$. How long will $6 \ g$ of this reactant take to reduce to $3 \ g$ (in $s$)?

The rate equation for a first-$order$ reaction is given by $R = R_0 e^{-kt}$. $A$ straight line with positive slope is obtained by plotting which of the following? ($R_0 =$ Initial concentration of the reactant,$R =$ concentration of the reactant at time $t$)

The reaction $2A \rightarrow \text{Product}$ follows first-order kinetics. If the initial concentration $[A]_0 = 0.2 \ mol \ L^{-1}$ and the half-life period $t_{1/2} = 20 \ min$,calculate the rate constant $k$.

Calculate the time required for a reactant to decrease in concentration from $100 \%$ to $20 \%$,if the rate constant of the first-order reaction is $0.02303 \ hour^{-1}$. (in $hour$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

For a first order gas phase reaction: $A_{(g)} \rightarrow 2 B_{(g)} + C_{(g)}$ Let $P_0$ be the initial pressure of $A$ and $P_t$ be the total pressure at time $t$. The integrated rate equation is: