What is order with respect to A, B, C, respectively
[A]
0.2
0.1
0.1
0.2
[B]
0.1
0.2
1.8
0.1
[C]
0.02
0.02
0.18
0.08
rate (M/sec.)
8.08 × 10⁻³
2.01 × 10⁻³
6.03 × 10⁻³
6.464 × 10⁻²
(a) –1, 1, 3/2
(b) –1, 1, 1/2
(c) 1, 3/2, –1
(d) 1, –1, 3/2
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ANSWER
The rate law expession is r=k[A]
x
[B]
y
[C]
z
.
From first and second experimnt,
0.0×10
−3
=k 0.2
x
0.1
y
0.02
z
2.01×10
−3
=k 0.1
x
0.2
y
0.02
z
(2)×(
2
1
)
y
=4
x−y=2 ......(1)
From second and third experiment
2.01×10
−3
=k 0.1
x
0.2
y
0.02
z
6.03×10
−3
=k 0.1
x
1.8
y
0.18
z
(9)
y
(9)
z
=3
2y+2z=1 ......(2)
From first and fourth experiment, 4
z
=8=2
3
0.0×10
−3
=k 0.2
x
0.1
y
0.02
z
6.464×10
−2
=k 0.2
x
0.1
y
0.08
z
2z=3 ......(3)
From equations (1), (2) and (3), we get, x=1, y=−1, z=3/2
Thus, order with respect to A, B, C is 1,−1,3/2 respectively.
Hence, the correct option is D
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