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Question: The time for half life period of a certain reaction A \(\longrightarrow\) Products is 1 hour. When t...

The time for half life period of a certain reaction A \longrightarrow Products is 1 hour. When the initial concentration of the reactant ‘A’, is 2.0 mol L–1, how much time does it take for its concentration to come from 0.50 to 0.25 mol L–1. If it is a zero order reaction?

A

4 h

B

0.5 h

C

0.25 h

D

1 h

Answer

0.25 h

Explanation

Solution

A\longrightarrow product

For zero order reaction

t1/21an1t_{1/2} \propto \frac{1}{a^{n - 1}} a = initial concentration of reactant

t1/2 a

(t1/2)1(t1/2)2=a1a2;1(t1/2)2=20.50\frac{\left( t_{1/2} \right)_{1}}{\left( t_{1/2} \right)_{2}} = \frac{a_{1}}{a_{2}};\frac{1}{\left( t_{1/2} \right)_{2}} = \frac{2}{0.50}

t1/2=0.52=0.25h.t_{1/2} = \frac{0.5}{2} = 0.25h.