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 $P_A$: $k = \frac{2.303}{t} \log \left( \frac{P_0}{\frac{3P_0 - P_t}{2}} \right) = \frac{2.303}{t} \log \left( \frac{2P_0}{3P_0 - P_t} \right)$.

Time $(t)$ $(\min)$	$0$	$30$	$60$	$90$
Conc. of ester $(C)$ $(M)$	$0.850$	$0.800$	$0.754$	$0.710$

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

Consider the following two first order reactions occurring at $298 \ K$ with same initial concentration of $A$: $(1)$ $A \rightarrow B$; rate constant, $k=0.693 \ min^{-1}$ $(2)$ $A \rightarrow C$; half-life, $t_{1/2}=0.693 \ min$. Choose the correct option.

$A$ first order reaction is found to have a rate constant,$k = 5.5 \times 10^{-14} \ s^{-1}$. Find the half-life of the reaction.

Half-life for a first order reaction is $6.93 \ hour$. What is the time required for $80 \%$ completion of the reaction (in $hours$)?

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: