Question

what is meant by half life?prove that half life period of first order reaction does not depend on its initial concentration​

Answer 1

Explanation:

Integrated rate law for a first order reaction is

k=

t

2.30

log

a−x

a

For half-life, t=t

1/2

,x=

2

a

On substituting the values,

k=

t

1/2

2.303

log

a−

2

a

a

k=

t

1/2

2.303log2

=

t

1/2

0.693

or t

1/2

=

k

0.693

Thus, half-life period (t

1/2

) of a first order reaction does not depend upon the concentration.

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