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Home / Doubts and Solutions/JEE/Chemistry

Plzz give example of zeroth order reaction with full mechanism

Asked by rbhatt16 12th October 2017, 5:04 PM
Answered by Expert
Answer:
begin mathsize 24px style space A space r e a c t i o n space i s space s a i d space t o space b e space o f space z e r o space o r d e r space i f space i t s space r a t e space i s space i n d e p e n d e n t space o f space t h e space c o n c e n t r a t i o n space o f space t h e space r e a c tan t s comma space i. e. comma space t h e space r a t e space i s space p r o p o r t i o n a l space t o space t h e space z e r o t h space p o w e r space o f space t h e space c o n c e n t r a t i o n space o f space t h e space r e a c tan t s. space space
F o r space t h e space r e a c t i o n space space A space rightwards arrow space p r o d u c t s space space t o space b e space o f space z e r o space o r d e r comma

R a t e space equals space minus space fraction numerator d left square bracket A right square bracket over denominator d t end fraction space equals space k left square bracket A right square bracket to the power of 0 space
d left square bracket A right square bracket space equals space minus k d t
I n t e g r a t i n g space b o t h space s i d e s
left square bracket A right square bracket space equals space minus k t space plus space C space.... left parenthesis i right parenthesis
w h e r e comma space C space i s space t h e space c o n s tan t space o f space i n t e g r a t i o n
A t space t equals 0 comma space t h e space c o n c e n t r a t i o n space o f space t h e space r e a c tan t space A space equals space left square bracket A right square bracket to the power of 0 space comma space w h e r e space left square bracket A right square bracket to the power of 0 space i s space t h e space i n i t i a l space c o n c e n t r a t i o n space o f space t h e space r e c tan t.
S u b s t i t u t i n g space i n space e q u a t i o n space left parenthesis i right parenthesis
left square bracket R right square bracket subscript 0 space equals space minus k space x space 0 space plus space C
left square bracket R right square bracket subscript 0 space equals space C
S u b s t i t u t i n g space t h e space v a l u e space o f space C space i n space t h e space e q u a t i o n space left parenthesis i right parenthesis
left square bracket A right square bracket space equals space minus k t space plus space left square bracket A right square bracket to the power of 0 space.... left parenthesis i i right parenthesis
C o m p a r i n g space e q u a t i o n space left parenthesis i i right parenthesis space w i t h space e q u a t i o n space o f space a space s t r a i g h t space l i e.
y space equals space m x space plus space c
I f space w e space p l o t space left square bracket A right square bracket space a g a i n s t space t comma space w e space g e t space a space s t r a i g h t space l i n e space w i t h space s l o p e space equals space minus k space a n d space i n t e r c e p t space e q u a l space t o space left square bracket A right square bracket subscript 0.

E x a m p l e s space o f space z e r o space o r d e r space r e a c t i o n space a r e space s o m e space p h o t o c h e m i c a l space r e a c t i o n space a n d space a space f e w space h e t e r o g e n e o u s space r e a c t i o n s. space
T h e s e space r e a c t i o n s space a r e space n o t space c o m m o n.
T h e space u n i t s space o f space k space a r e space m o l space L to the power of negative 1 end exponent space t i m e to the power of negative 1 end exponent. space space
T h e space c o n c e n t r a t i o n space o f space r e a c tan t space d e c r e a s e s space l i n e a r l y space w i t h space t i m e colon space left square bracket A right square bracket subscript t space space equals space space left square bracket A right square bracket subscript 0 space minus space k t end style
 
 
Answered by Expert 13th October 2017, 9:50 AM
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