During the kinetic study of the reaction, 2A + B C + D, following results were obtained array|l|l|l|l| Run & [A]/ mol L-1 & [B]/ mol L-1 & Initial rate of formation \ & & & of D/ mol L-1 min-1 \ I. & 0.1 & 0.1 & 6.0 10-3 \ II. & 0.3 & 0.2 & 7.2 10-2 \ III. & 0.3 & 0.4 & 2.88 10-1 \ IV. & 0.4 & 0.1 & 2.40 10-2 \ array Based on the above data which one of the following is correct?
- Rate = k[A]2[B]
- Rate = k[A][B]
- Rate = k[A]2[B]2
- Rate = k[A][B]2
Answer
(4) Rate = k[A][B]2
Solution
Let Rate = k[A]x[B]y.
Runs I and IV ([B] constant): 2.40 10-26.0 10-3 = ( 0.40.1 )x
4 = 4x x = 1
Runs II and III ([A] constant): 2.88 10-17.2 10-2 = ( 0.40.2 )y
4 = 2y y = 2
Rate = k[A][B]2
(Check with run I: k = 6.0 10-30.1 (0.1)2 = 6; run II: 6 0.3 (0.2)2 = 7.2 10-2, matches)
Answer: (4)