For a zero-order reaction,the ratio of t_{1/2 | vedclass

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

Question

(C) For a zero-order reaction,the integrated rate equation is $[A]_t = [A]_0 - kt$.$t_{1/2}$ is the time when $[A]_t = \frac{[A]_0}{2}$,so $t_{1/2} =

Vedclass · Accepted Answer

$2 : 3$

Vedclass · Answer

(C) For a zero-order reaction,the integrated rate equation is $[A]_t = [A]_0 - kt$.$t_{1/2}$ is the time when $[A]_t = \frac{[A]_0}{2}$,so $t_{1/2} = \frac{[A]_0}{2k}$.$t_{3/4}$ is the time when $75\%$ of the reactant is consumed,so $[A]_t = [A]_0 - \frac{3}{4}[A]_0 = \frac{[A]_0}{4}$.Substituting this into the rate equation: $\frac{[A]_0}{4} = [A]_0 - kt_{3/4}$,which gives $kt_{3/4} = \frac{3[A]_0}{4}$,so $t_{3/4} = \frac{3[A]_0}{4k}$.The ratio $\frac{t_{1/2}}{t_{3/4}} = \frac{[A]_0 / 2k}{3[A]_0 / 4k} = \frac{1}{2} 	imes \frac{4}{3} = \frac{2}{3}$.

Time $(s)$	Concentration of the reactant $(mol \ L^{-1})$
$0$	$0.1$
$15$	$0.05$
$20$	$0.1 - x$

For a zero-order reaction,the ratio of $t_{1/2}$ to $t_{3/4}$ is ....

Similar Questions

The rate constant of the reaction $A \rightarrow B$ is $0.6 \times 10^{-3} \, mol \, L^{-1} \, s^{-1}.$ If the concentration of $A$ is $5 \, M,$ then the concentration of $B$ after $20$ minutes is ......... $M.$

Which among the following reactions is an example of a zero-order reaction?

For the reaction $A \longrightarrow 3 B$,the rate is given by $rate = k[A]^0$. Based on the data provided in the table,what is the concentration of the product $B$ (in $mol \ L^{-1}$) after $20 \ s$?
Time $(s)$ Concentration of the reactant $(mol \ L^{-1})$
$0$ $0.1$
$15$ $0.05$
$20$ $0.1 - x$

The half-life for a zero order reaction having $0.02 \; M$ initial concentration of reactant is $100 \; s$. The rate constant (in $mol \; L^{-1} s^{-1}$) for the reaction is

The decomposition of $NH_3$ on a platinum surface is a zero-order reaction. What is the rate of production of $N_2$ if $k = 2.5 \times 10^{-4} \ mol \ L^{-1} \ s^{-1}$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module