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Question: For a I<sup>st</sup> order reaction nA¾® B whose concentration V<sub>s</sub> time curve as shown bel...

For a Ist order reaction nA¾® B whose concentration Vs time curve as shown below

If half life for the reaction is 24 mins the value of n is

A

1

B

2

C

3

D

4

Answer

3

Explanation

Solution

when t =48 min, a0 –nx = x

or a0 = (n +1) x

At t = 48 min, nx = 3a04\frac{3a_{0}}{4}

or a0 = nx + x = 3a04\frac{3a_{0}}{4} + x

or x = a04\frac{a_{0}}{4}

\ a0 = (n + 1) × a04\frac{a_{0}}{4}

or n + 1 = 4

or n = 3