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A reaction is 50 ./. Complete …

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A reaction is 50 ./. Complete in 2 hours and 75./.complete in 4hours. The order of the reaction is???
  • 1 answers

Dr. Kamlapati Bhatt 8 years, 4 months ago

The order  of reaction is  =  1

Explanation   :

The order of reaction can be calculated  through following steps -

Step 1 /  Calculate  k  for the reaction using expression  ,

                      k   =   0.693 /  t1/2

                           = o.693 /  2    ......since  t1/2 is given as  =  2 hours

                           =  0.3465 hrs-1

Apply  first order rate expression  ,

      k  =  {tex}\frac{2.303}{t}{/tex} log{tex}\frac{Ro}{R}{/tex}      , at time t =  4 hours ,  

           = {tex}\frac{2.303}{4}log{/tex} {tex}\frac{100}{(100-75)}{/tex}

           = 0.575575 log 4

            =  0.57557 x  0.60206

            =  0.3465 hr-1 

Thus , same value of rate constant k is  using first order rate equation , confirms the order of reaction = 1         

 

 

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