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JEE Main 201912 JanuaryMorning Shift

Exam: JEE Main
Year: 2019
Date: 12 January
Shift: Morning Shift
Subject: Chemistry
Chapter: Chemical Kinetics

JEE Main 2019 · 12 January · Morning Shift · Chemistry · Chemical Kinetics

Decomposition of X exhibits a rate constant of 0 .05 μ g / year ....

Decomposition of

X

exhibits a rate constant of

0 .05 \mu g / year

. How many years are required for the decomposition of

5\mu g

of

X

into

2 .5 \mu g

?

Options

A $20$
B4 $0$
C $25$
D $50$

Correct answer

D. $50$

Step-by-step solution

According to unit of rate constant, it is a zero order reaction. Then, half life of reaction will be:

${t}_{\dfrac{1}{2}} = \dfrac{{C}_{0}}{2k} = \dfrac{5\mug}{2 \times 0.05\mug / year} = 50year$

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