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JEE Main 20231 FebruaryEvening Shift
Exam
JEE Main
Year
2023
Date
1 February
Shift
Evening Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2023 · 1 February · Evening Shift · Chemistry · Chemical Kinetics

A → B The above reaction is of zero order. Half life of this...

A→BA \to B

The above reaction is of zero order. Half life of this reaction is 50min50min. The time taken for the concentration of AA to reduce to one-fourth of its initial value is min . (Nearest integer)

Correct answer

0

Step-by-step solution

The integrated rate equation of zero order reaction is

kt=A0−Atkt = {A}_{0} - {A}_{t}

Assume reaction starts with 11 mole A

t1/2=a2k,K=12×50{t}_{1/2} = \dfrac{a}{2k}, K = \dfrac{1}{2 \times 50}

For 7575 % completion

A0=a,At=a4{A}_{0} = a, {A}_{t} = \dfrac{a}{4}

a−a4=kta - \dfrac{a}{4} = kt

t=34ak=34×100a=75mint = \dfrac{3}{4}\dfrac{a}{k} = \dfrac{3}{4} \times \dfrac{100}{a} = 75min

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