For the reaction A( g ) + B( g ) + C( g ) \" D( g ) the following data were obta
ID: 881165 • Letter: F
Question
For the reaction A(g) + B(g) + C(g) " D(g) the following data were obtained at 25°C.
Exp’t
Initial [A] (M)
Initial [B] (M)
Initial [C] (M)
Initial Rate (moleL–1s–1)
1
0.0500
0.0500
0.0100
6.25 x 10–3
2
0.1000
0.0500
0.0100
1.25 x 10–2
3
0.1000
0.1000
0.0100
5.00 x 10–2
4
0.0500
0.0500
0.0200
6.25 x 10–3
5
0.2000
0.3000
0.3000
?????
Which choice gives correct kinetics information for this reaction? Which choice is closest to the rate constant for this reaction? Which choice is closest to the missing initial rate for Exp’t 5?
1st-order wrt A; 2nd-overall
k = 50.0 Lmol–1s–1
0.00400 molL-1s-1
1st-order wrt A; 1st-order wrt B
k = 2.5 Lmol–1s–1
0.200 mol2L–2s–1
2nd-order wrt B; 3rd-order overall
k = 50.0 L2mol–2s–1
0.900 molL-1s-1
2nd-order wrt B; 1st-order wrt C
k = 25 L2mol–2s–1
0.200 molL-1s-1
Exp’t
Initial [A] (M)
Initial [B] (M)
Initial [C] (M)
Initial Rate (moleL–1s–1)
1
0.0500
0.0500
0.0100
6.25 x 10–3
2
0.1000
0.0500
0.0100
1.25 x 10–2
3
0.1000
0.1000
0.0100
5.00 x 10–2
4
0.0500
0.0500
0.0200
6.25 x 10–3
5
0.2000
0.3000
0.3000
?????
Explanation / Answer
answer :
2nd-order wrt B; 3rd-order overall
k = 50.0 L2mol–2s–1
0.900 molL-1s-1
rate= k [A]x [B]y [C]z
from data
6.25x10^-3 =k [0.05]x [0.05]y [0.01]z ------------->(1)
1.25 x10^-2 =k [0.1]x [0.05]y [0.01]z ------------------> (2)
5 x10^-2 =k [0.1]x [0.1]y [0.01]z -------------> (3)
6.25x10^-3 =k [0.05]x [0.05]y [0.02]z ----------------> (4)
???? =k [0.2]x [0.3]y [0.3]z ----------------> (5)
by solving 1 and 2
x = 1
by solving 2 and 3
y = 2
by solving 3 and 4
z = 0
rate law = k [A]1 [B]2 [C]0
overall order = 1+ 2+0 =3
from any of above equations we can solve rate constant k value
5 x10^-2 =k [0.1]x [0.1]y [0.01]z -------------> (3)
5 x10^-2 =k [0.1]1 [0.1]2 [0.01]0 -------------> (3)
k = 50 mol^-2 lit^2 sec^1
for unknown rate
???? =k [0.2]x [0.3]y [0.3]z ----------------> (5)
rate = 50 x [0.2] [0.3]2 [0.3]0 ----------------> (5)
rate = 0.9 M/s
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