For a reaction: 3X to 4Y,calculate the rate o | vedclass

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

Question

(C) The rate law for the reaction $3X 	o 4Y$ is given by $-\frac{1}{3} \frac{d[X]}{dt} = k[X]^n$.For an $n$-th order reaction where $n 
eq 1$,the in

Vedclass · Accepted Answer

$\frac{1}{9\sqrt{3}} 	imes 10^{-4} \ M \ \min^{-1}$

Vedclass · Answer

(C) The rate law for the reaction $3X 	o 4Y$ is given by $-\frac{1}{3} \frac{d[X]}{dt} = k[X]^n$.For an $n$-th order reaction where $n 
eq 1$,the integrated rate law is $\frac{1}{[X]^{n-1}} - \frac{1}{[X]_0^{n-1}} = 3(n-1)kt$.Comparing this with the equation of a straight line $y = mx + c$,where $y = \frac{1}{[X]^3}$,we identify $n-1 = 3$,so $n = 4$.The slope of the graph is $3(n-1)k = 	an 30^{\circ} = \frac{1}{\sqrt{3}}$.Substituting $n-1 = 3$,we get $3(3)k = \frac{1}{\sqrt{3}}$,which implies $9k = \frac{1}{\sqrt{3}}$,or $k = \frac{1}{9\sqrt{3}}$.The rate of reaction $r$ is given by $r = k[X]^n = \frac{1}{9\sqrt{3}} 	imes (0.1)^4$.$r = \frac{1}{9\sqrt{3}} 	imes 10^{-4} \ M \ \min^{-1}$.

$[A] \ (mol \ L^{-1})$	$[B] \ (mol \ L^{-1})$	Initial Rate $(mol \ L^{-1} \ s^{-1})$
$0.05$	$0.05$	$0.045$
$0.10$	$0.05$	$0.090$
$0.20$	$0.10$	$0.72$

For a reaction: $3X \to 4Y$,calculate the rate of reaction based on the following graph when the concentration of $X$ is $0.1 \ M$.

Similar Questions

In the reaction $A + B \to \text{Products}$,the initial concentration of both $A$ and $B$ is $0.1 \, M$. When the concentration decreases to $1.0 \times 10^{-2} \, M$,the half-life period increases by ten times. The rate of the reaction is:

For the reaction,$2N_2O_5 \to 4NO_2 + O_2$,the rate equation can be expressed in two ways $-\frac{d[N_2O_5]}{dt} = k[N_2O_5]$ and $+\frac{d[NO_2]}{dt} = k'[N_2O_5]$. $k$ and $k'$ are related as:

For a reaction $X + Y \to Z$,the rate is given by $\text{rate} \propto [X]$. What are $(i)$ the molecularity and $(ii)$ the order of the reaction?

What is a pseudo first order reaction? Give an example of a pseudo first order reaction.

Vedclass Test Series

Exam Paper Generator

Online Exam Module