For a reaction A longrightarrow P,a plot betw | vedclass

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

Question

(B) For a reaction of order $n$,the half-life is given by $t_{1/2} \propto \frac{1}{[A]_0^{n-1}}$.Given that the plot of $[A]_0$ $Vs$ $\frac{1}{t_{1/2

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) For a reaction of order $n$,the half-life is given by $t_{1/2} \propto \frac{1}{[A]_0^{n-1}}$.Given that the plot of $[A]_0$ $Vs$ $\frac{1}{t_{1/2}}$ is a straight line with a positive slope,we have $\frac{1}{t_{1/2}} = k[A]_0$,which implies $t_{1/2} \propto \frac{1}{[A]_0}$.This corresponds to a reaction of order $n = 2$.Since $t_{1/2} 	imes [A]_0 = 	ext{constant}$,we can write: $(t_{1/2})_1 	imes [A]_1 = (t_{1/2})_2 	imes [A]_2$.Substituting the given values: $20 \ min 	imes 1 	imes 10^{-2} \ M = (t_{1/2})_2 	imes 2 	imes 10^{-2} \ M$.Solving for $(t_{1/2})_2$,we get $(t_{1/2})_2 = \frac{20 	imes 1 	imes 10^{-2}}{2 	imes 10^{-2}} \ min = 10 \ min$.

Similar Questions

In the given reaction sequence,if $K_3 > K_2 > K_1$,then the rate-determining step is:

For a reaction,$A + B \longrightarrow \text{product}$,it is found that the rate law is $r = k[A]^{1.5}[B]^{2.5}$. What is the order of reaction?

The molecularity of the reaction of inversion of sugar is:

Which of the following statements about the rate constant is $NOT$ true?

The velocity constant of a reaction is $K$. Which of the following statements is not true regarding $K$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module