Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • I need help with Half life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is:

Half life period of a first-order reaction is 1386 seconds. The specific rate constant of the reaction is:

  • Option 1)

    0.5 x 10-2 s-1

  • Option 2)

    0.5 x 10-3 s-1

  • Option 3)

    5.0 x 10-2 s-1

  • Option 4)

    5.0 x 10-3 s-1

 

Answers (1)

best_answer

 

First Order Reaction -

The rate of the reaction is proportional to the first power of the concentration of the reaction

- wherein

Formula:

R    \rightarrow        P

a                 0

a-x             x

rate[r]=K[R]^{1}

\frac{-d(a-x)}{dt}=K(a-x)

\frac{-dx}{dt}=K(a-x)  [differentiate rate law]

ln \:[\frac{a}{a-x}]=kt \:(Integrated rate law)

Unit of k=sec^{-1}

t_\frac{1}{2}=\frac{0.693}{k}

 t_{1/2}=\frac{0.693}{k}

for first order reaction

k=\frac{0.693}{1386}=5\times 10^{-4}s^{-1}

 

  

 


Option 1)

0.5 x 10-2 s-1

This is incorrect option

Option 2)

0.5 x 10-3 s-1

This is correct option

Option 3)

5.0 x 10-2 s-1

This is incorrect option

Option 4)

5.0 x 10-3 s-1

This is incorrect option

Posted by

prateek

View full answer

Similar Questions

Latest Question