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Question

H2O2 undergoes self decomposition according to first-order reaction. The volume strength of H2O2 solution change from 40 V to 10 V in 200 min. Half-life period of decomposition of H2O2 is :

A
50 min
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B
100 min
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C
150 min
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D
200 min
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Solution

The correct option is B 100 min
Given:
Volume Initial=40V
Volume Final=10V
Time=200 min
t1/2=?
For first order reaction:

k=2.303tLogInitial concfinal conc

k=2.303200Log4010

k=2.303200 2×Log 2

Log2=0.3010

k=0.693200×2

k=0.693100------------------------------(1)

t1/2=0.693k

on putting the value of k from eq--1 we will get

t1/2=0.6930.693×100

t1/2=100 minutes
Option B is correct.

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