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Types of Elementary Reactions

The half-life...

Question

The half-life period for catalytic decomposition of $A B_{3}$ at 50 mm is found to be 4 hrs and at 100 mm it is 2.0 hrs. The order of the reaction is:

A

3

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B

1

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C

2

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D

0

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Solution

The correct option is D 2
$t_{\frac{1}{2}} \propto a^{1 - n}$

$\frac{4}{2} = \frac{50^{(1 - n)}}{100^{(1 - n)}}$

$2 = 2^{n - 1}$

$∴ n = 2$

Hence, option C is correct.

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