For the first-order gaseous reaction A_{(g)} | vedclass

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

Question

(A) For the reaction $A_{(g)} 	o 2B_{(g)} + C_{(g)}$:At $t=0$,pressure is $P_0, 0, 0$ for $A, B, C$ respectively.At time $t$,let the pressure of $A$

Vedclass · Accepted Answer

$K = \frac{1}{t} \ln \left( \frac{2P_0}{3P_0 - P_t} \right)$

Vedclass · Answer

(A) For the reaction $A_{(g)} 	o 2B_{(g)} + C_{(g)}$:At $t=0$,pressure is $P_0, 0, 0$ for $A, B, C$ respectively.At time $t$,let the pressure of $A$ decrease by $x$. Then $P_A = P_0 - x$,$P_B = 2x$,and $P_C = x$.The total pressure $P_t = (P_0 - x) + 2x + x = P_0 + 2x$.From this,$2x = P_t - P_0$,so $x = \frac{P_t - P_0}{2}$.The pressure of $A$ at time $t$ is $P_A = P_0 - x = P_0 - \frac{P_t - P_0}{2} = \frac{2P_0 - P_t + P_0}{2} = \frac{3P_0 - P_t}{2}$.For a first-order reaction,$K = \frac{1}{t} \ln \left( \frac{P_0}{P_A} ight) = \frac{1}{t} \ln \left( \frac{P_0}{(3P_0 - P_t)/2} ight) = \frac{1}{t} \ln \left( \frac{2P_0}{3P_0 - P_t} ight)$.

Time (minute)	$0$	$20$	$75$	$120$	$\infty$
Volume of $0.05 \, M$ $NaOH$ ($V_t$ in $mL$)	$24.40$	$25.82$	$29.35$	$31.75$	$47.50$

For the first-order gaseous reaction $A_{(g)} \to 2B_{(g)} + C_{(g)}$,the expression for the rate constant $K$ in terms of initial pressure $P_0$ and total pressure $P_t$ at time $t$ is:

Similar Questions

Which of the following represents the integrated rate law equation for the gas-phase first-order reaction,$A_{(g)} \rightarrow B_{(g)} + C_{(g)}$? If $P_{i}$ is the initial pressure of $A$ and $P$ is the total pressure of the reaction mixture at time $t$.

$A$ $20 \%$ first-order reaction is completed in $32 \ \text{min}$. How much time (in $\text{min}$) will it take for $60 \%$ of the reaction to be completed (in $.00$)?

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,$T_{av}$ (average life),$T_{50}$ and $T_{75}$ in the increasing order are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module