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Question: In a first order reaction, the concentration of the reactant decreases from 0.8 M to 0.4 M in 15 min...

In a first order reaction, the concentration of the reactant decreases from 0.8 M to 0.4 M in 15 minutes. The time taken for the concentration to change from 0.1 M to 0.025 M is :

A

30 minutes

B

15 minutes

C

7.5 minutes

D

60 minutes

Answer

30 minutes

Explanation

Solution

The concentration fo the reactant decreases from 0.8 M to 0.4 M in 15 minutes, i.e., t1/2 = 15 minute. Therefore, the concentration of reactant will fall from 0.1 M to 0.025 in two half live. i.e., 2t1/2 = 2 × 15 = 30 minutes.