Question

For the reaction A+B+C→D+E, the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected:

Trial	[A] (M)	[B] (M)	[C] (M)	Initial Rate (M/s)
1	0.10	0.10	0.10	3.0×10−5
2	0.10	0.10	0.30	9.0×10−5
3	0.20	0.10	0.10	1.2×10−4
4	0.20	0.20	0.10	1.2×10−4

Part A

What is the reaction order with respect to A?

Part B

What is the reaction order with respect to B?

Part C

What is the reaction order with respect to C?

Answer 1

rate= k [A]^x [B]^y [C]^z

from data table

3.0 x 10^-5 =k [0.1]^x [0.1]^y [0.1]^z ------------->(1)

9.0 x 10^-5 =k [0.1]^x [0.1]^y [0.3]^z ------------->(2)

1.2 x 10^-4 =k [0.2]^x [0.1]^y [0.1]^z ------------->(3)

1.2 x 10^-4 =k [0.2]^x [0.2]^y [0.1]^z ------------->(4)

by solving 1 & 2 , we get

z = 1

by solving 1 & 3 , we get

x = 2

by solving 3 & 4 , we get

y = 0.

rate= k [A]² [B]⁰ [C]¹

reaction order with respect to A = 2

reaction order with respect to B = 0

reaction order with respect to C = 1