Question

The rate of a reaction A + 2B --> products is determined. When the concentration of A is 1.0 M, the rate of the reaction is 0.50 M/s. When the concentration of A is 0.50 M, the rate is 0.25 M/s. From this data, you can determine:

a.
that the reaction is second order in A.

b.
that the reaction is 0 order in A.

c.
that the reaction is 1/2 order in A.

d.
that the reaction is first order in A.

e.
nothing about the order of the reaction.

Answer 1

rate1 = k1(A)^x
---------------
rate2 = k1(A)^x

You know k1 and k2 are the same so they cancel.
rate1 = 0.50; (A) = 1.0M
rate2 = 0.25; (A) = 0.50
Substitute
0.50 = (1.0)^x
--------------
0.25 = (0.50)^x

Solve.
2 = 2^x
So x must be what?

Answer 2

1.7