Question

What is meant by Half life ? Prove that half life period of first orde
reaction does not depend on its initial concentration.​

Answer 1

Answer:

$\huge\purple{\mid{\fbox{\tt{Answer:-}}\mid}}$

Half life period t  

1/2

​  

 of a reaction is defined as the time required to reduced the concentration of a reactant to one half of its initial value.

k  

1

​  

=  

t

2.303

​  

log(  

a−x

a

​  

)

if amount reacted x=  

2

a

​  

then t=t  

1/1

​  

 

∴t  

1/2

​  

=  

t

2.303

​  

log(  

a−a/2

a

​  

)

t  

1/2

​  

=  

k  

1

​  

 

2.303log(2.0)

​  

⇒t  

1/2

​  

=  

k  

1

​  

 

0.693

​  

secs

Thus half life period of a first order reaction is independent of the initial concentration of the reactant.

Explanation:

follow me