SECTION - C The decomposition of {\NH}_3 on platinum surface is zero order reaction. If rate constant k is 4 \times 10^{-3} {\Ms}^{-} { }^1, how long will it take to reduce the initial concentration of {\NH}_3 from 0.1 {\M} to 0.064 {\M}.

CBSE Class 12 Chemistry 2019 Delhi Set 1 Solved Paper

Question : 13 of 27

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SECTION - C

The decomposition of

{\NH}_3

on platinum surface is zero order reaction. If rate constant k is

4 × 10^{-3} {\Ms}^{-}

{ }^1

, how long will it take to reduce the initial concentration of

{\NH}_3

from

0.1 {\M}

0.064 {\M}

Solution:

The equation for the zero order reaction is:

[A]= [A_0] -k t

Given:

{ [ {\A}_0] }\;=0.1 {\M}

{[ {\A}] }\;=0.064

{\k}\;=4 × 10^{-3} {\M} \/ {\ s}

Putting the values in the equation, and solving the equation for

t

, we get:

0.064\;=0.1- (4 × 10^{-3} × {\t})

0.064-0.1\;=- (4 × 10^{-3} × {\t})

-0.036\;=- (4 × 10^{-3} × {\t})

{\t}=\;{-0.036}/{-4 × 10^{-3}}\;=9 {\ s}

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