A_{(g)} rightarrow B_{(g)} + C_{(g)} is a fir | vedclass

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

Question

(C) For the first order reaction $A_{(g)} \rightarrow B_{(g)} + C_{(g)}$:At $t = 0$,$P_A = P_0$,$P_B = 0$,$P_C = 0$At $t = t$,$P_A = P_0 - x$,$P_B = x

Vedclass · Accepted Answer

$k = \frac{1}{t} \ln \frac{P_{\infty}}{2(P_{\infty} - P_t)}$

Vedclass · Answer

(C) For the first order reaction $A_{(g)} \rightarrow B_{(g)} + C_{(g)}$:At $t = 0$,$P_A = P_0$,$P_B = 0$,$P_C = 0$At $t = t$,$P_A = P_0 - x$,$P_B = x$,$P_C = x$Total pressure $P_t = (P_0 - x) + x + x = P_0 + x \Rightarrow x = P_t - P_0$At $t = \infty$,$P_A = 0$,$P_B = P_0$,$P_C = P_0$Total pressure $P_{\infty} = 2P_0 \Rightarrow P_0 = \frac{P_{\infty}}{2}$Pressure of $A$ at time $t$: $P_A = P_0 - x = P_0 - (P_t - P_0) = 2P_0 - P_t$Substituting $P_0 = \frac{P_{\infty}}{2}$: $P_A = 2(\frac{P_{\infty}}{2}) - P_t = P_{\infty} - P_t$Rate constant $k = \frac{1}{t} \ln \frac{P_0}{P_A} = \frac{1}{t} \ln \frac{P_{\infty}/2}{P_{\infty} - P_t} = \frac{1}{t} \ln \frac{P_{\infty}}{2(P_{\infty} - P_t)}$.

Time	$t$	$\infty$
$P_{\text{system}}$	$P_t$	$P_{\infty}$

$A_{(g)} \rightarrow B_{(g)} + C_{(g)}$ is a first order reaction.

Time $t$ $\infty$

$P_{\text{system}}$ $P_t$ $P_{\infty}$

The reaction was started with reactant $A$ only. Which of the following expressions is correct for the rate constant $k$?

Similar Questions

For a first order reaction,the initial concentration of a reactant is $0.05 \ M$. After $45 \ minutes$,it is decreased by $0.015 \ M$. Calculate the half-life period $(t_{1/2})$ (in $min$)?

It takes $1 \, h$ for a first order reaction to go to $50 \, \%$ completion. The total time required for the same reaction to reach $87.5 \, \%$ completion will be $..... \, h$.

For a first order reaction,to obtain a positive slope,we need to plot $...$ where $[A]$ is the concentration of reactant $A$.

If the rate law is $r = K[A]$,then the concentration of the reactant remaining after time $t = 1/k$ is: ($[A]_0$ is the concentration of the reactant at $t = 0$)

For the first order reaction with rate constant $k$,which expression gives the half-life period? (Initial concentration $= a$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$A_{(g)} \rightarrow B_{(g)} + C_{(g)}$ is a first order reaction. Time $t$ $\infty$ $P_{\text{system}}$ $P_t$ $P_{\infty}$ The reaction was started with reactant $A$ only. Which of the following expressions is correct for the rate constant $k$?