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Byju's Answer
Standard XII
Chemistry
Rate Constant
From the foll...
Question
From the following data answer the questions:
Reaction: A + B
→
P
[A]M
[B]M
Initial rate
M sec
−
1
300 K
400 K
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
The order w.r.t A is:
A
1
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B
2
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C
3
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D
-1
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Solution
The correct option is
A
2
The rate law expression is
R
=
k
[
A
]
m
[
B
]
n
For experiment (1),
5
×
10
−
4
=
k
[
2.5
×
10
−
4
]
m
[
3
×
10
−
5
]
n
For experiment (2),
4
×
10
−
3
=
k
[
5
×
10
−
4
]
m
[
6
×
10
−
5
]
n
......(1)
For experiment (3)
1.6
×
10
−
2
=
k
[
1
×
10
−
3
]
m
[
6
×
10
−
5
]
n
......(2)
Divide equation (2) with equation (1)
1.6
×
10
−
2
4
×
10
−
3
=
k
[
1
×
10
−
3
]
m
[
6
×
10
−
5
]
n
k
[
5
×
10
−
4
]
m
[
6
×
10
−
5
]
n
Hence,
m
=
2
Suggest Corrections
0
Similar questions
Q.
From the following data answer the questions:
Reaction:
A
+
B
→
P
[A] M
[B] M
Initial rate
M sec
−
1
300
K
400
K
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
The value of rate constant at 300 K is
(
m
−
2
s
e
c
−
1
)
Q.
From the following data answer the questions:
Reaction:
A
+
B
→
P
[A]M
[B]M
Initial rate
M sec
−
1
300
K
400
K
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
The energy of activation for reaction
(
k
J
/
m
o
l
)
is:
Q.
Following data are given for the reaction between
A
and
B
.
[
A
]
/
m
o
l
L
−
1
[
B
]
/
m
o
l
L
−
1
Initial rate/
m
o
l
L
−
1
s
−
1
at
300
K
320
K
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
-
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
-
The rate constant at
300
K
is:
Q.
Expt.
No.
[
A
]
(
m
o
l
L
−
1
)
[
B
]
(
m
o
l
L
−
1
)
Initial rate
(
m
o
l
L
−
1
s
−
1
)
300K
320K
(1)
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
(2)
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
.
.
.
(3)
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
.
.
.
From the data given above for the reaction between
A
and
B
, calculate the following:
(i) The order of the reaction with respect to
A
and with respect to
B
,
(ii) The rate constant at
300
K
(iii) The energy of activation and
(iv) The pre-exponential factor.
Q.
From the given table for reaction between A and B:
Initial rate
Initial rate
[
A
]
mol litre
−
1
[
B
]
mol litre
−
1
at 300 K
at 320 K
mol litre
−
1
s
−
1
mol litre
−
1
s
−
1
(I)
2.5
×
10
−
4
3.0
×
10
−
5
5.0
×
10
−
4
2.0
×
10
−
3
(II)
5.0
×
10
−
4
6.0
×
10
−
5
4.0
×
10
−
3
−
(III)
1.0
×
10
−
3
6.0
×
10
−
5
1.6
×
10
−
2
−
Rate constant at
300
K
is
x
×
10
8
mol
−
2
litre
2
s
−
1
. Find the value of
x
.
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