Far reaction A+ B+C- Products, Rate k (A) (B] [C"2. The order of the reaction is A) 2.8 C) 3 B) 2 D) 3.5
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12th
Chemistry
Chemical Kinetics
Factors Influencing Rate of a Reaction
What is the order of a chem...
CHEMISTRY
What is the order of a chemical reaction A+2B
k
C, if the rate of formation of C increases by a factor of 2.82 on doubling the concentration of A and increases by a factor of 9 on tripling the concentration of B?
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ANSWER
The rate law expression is R=K[A]
m
[B]
n
......(1)
The rate of formation of C increases by a factor of 2.82 on doubling the concentration of A.
The rate law expression becomes R
′
=2.82R=K2
m
[A]
m
[B]
n
......(2)
Divide equation (2) with equation (1)
R
2.82R
=
K[A]
m
[B]
n
K2
m
[A]
m
[B]
n
Hence,
2.82=2
m
or m=
2
3
The rate of formation of C increases by a factor of 9 on tripling the concentration of B
The rate law expression becomes R"=9R=K[A]
m
3
n
[B]
n
......(3)
Divide equation (3) with equation (1)
R
9R
=
K[A]
m
[B]
n
K[A]
m
3
n
[B]
n
Hence,
9=3
n
or n=2
The overall order of the reaction is m+n=
2
3
+2=
2
7