"Compounds A and B react to give a single product, C. Write the rate law for each of the following cases and determine the units of the rate constant by using the units M for concentration and s for time.

a. The reaction is first order in A and second order in B.
b. The reaction is first order in A and second order overall.
c. The reaction is independent of the concentration of A and second order overall.
d. The reaction is second order in both A and B."

Part a: Units of k is where reaction is first order in A and second order in B

Part b: Units of k is where reaction is first order in A and second order overall.

Part c: Units of k is where reaction is independent of the concentration of A and second order overall.

Part d: Units of k is where reaction reaction is second order in both A and B.

Explanation:

As the reaction is given as

where as the rate is given as

where x is the order wrt A and y is the order wrt B.

Part a:

x=1 and y=2 now the reaction rate equation is given as

Now the units are given as

The units of k is

Part b:

x=1 and o=2

x+y=o

1+y=2

y=2-1

y=1

Now the reaction rate equation is given as

Now the units are given as

The units of k is

Part c:

x=0 and o=2

x+y=o

0+y=2

y=2

y=2

Now the reaction rate equation is given as

Now the units are given as

The units of k is

Part d:

x=2 and y=2

Now the reaction rate equation is given as

Now the units are given as

The units of k is