For a first-order gas-phase reaction A(g) to | vedclass

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

Question

(A) $1$. Consider the reaction: $A(g) 	o B(g) + C(g)$.$2$. At $t = 0$, the initial pressure of $A$ is $p_i$, and the pressures of $B$ and $C$ are $0$

Vedclass · Accepted Answer

$\frac{1}{t} \ln \frac{p_i}{2p_i - p_t}$

Vedclass · Answer

(A) $1$. Consider the reaction: $A(g) 	o B(g) + C(g)$.$2$. At $t = 0$, the initial pressure of $A$ is $p_i$, and the pressures of $B$ and $C$ are $0$.$3$. At time $t$, let $x$ be the decrease in pressure of $A$. The pressures are: $P_A = p_i - x$, $P_B = x$, and $P_C = x$.$4$. The total pressure $p_t$ at time $t$ is given by: $p_t = (p_i - x) + x + x = p_i + x$.$5$. From this, we find $x = p_t - p_i$.$6$. The partial pressure of $A$ at time $t$ is $P_A = p_i - x = p_i - (p_t - p_i) = 2p_i - p_t$.$7$. For a first-order reaction, the rate constant $k$ is given by: $k = \frac{1}{t} \ln \frac{p_i}{P_A}$.$8$. Substituting $P_A$, we get: $k = \frac{1}{t} \ln \frac{p_i}{2p_i - p_t}$.

For a first-order gas-phase reaction $A(g) \to B(g) + C(g)$, let $p_i$ be the initial pressure of gas $A$ and $p_t$ be the total pressure of the reaction mixture at time $t$. The expression for the rate constant $(k)$ is:

Similar Questions

The rate constant of a reaction is $0.69 \times 10^{-1} \ min^{-1}$ and the initial concentration is $0.2 \ mol \ L^{-1}.$ The half-life period is ........ $\sec$

Identify True $(T)$ and False $(F)$ statements for the following expressions regarding a first-order reaction $R \rightarrow P$:
Statement $I$: $\text{Rate} = -\frac{d[R]}{dt} = k[R]$
Statement $II$: $\text{Rate} = -\frac{d[R]}{dt} = -k[R]$

The initial rate for a first order reaction is $0.6932 \times 10^{-2} \ mol \ L^{-1} \ min^{-1}$ and the initial concentration of the reactant is $0.1 \ M$. Then $t_{1/2}$ is equal to ...... $min$.

Which is a correct integrated rate equation for a first-order reaction?

The first order decomposition of $H_2O_2$ in an appropriate medium is characterised by a rate constant of $0.2303 \ min^{-1}$. What is the time (in $min$) required to complete $9/10$ fraction of the reaction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module