The initial rate data at 25 oC are listed for the reaction

NH4+ (aq) + NO2-1 -> N2(g) + H2O(l)

Experiment Initial [NH4+1] Initial [NO2-1] Initial rate (M/s)
1 0.24 0.1 7.2 X10^-6
2 0.12 0.1 3.6 X 10^-6
3 0.12 0.15 5.4 X 10^-6

a. Determine the rate law
b. Determine the value of the rate constant.

c. What is the reaction rate when the concentrations are [NH4+1] = 0.39 M and [NO2-1] = 0.052 M.

a) The rate law of the reaction is ;

b) The value of the rate constant :

c) is the reaction rate when the concentrations are = 0.39 M and = 0.052 M.

Explanation:

Rate of the reaction will be given by :

a) Rate of the reaction when  and is 0.24 M and 0.1 M respectively = R

R =

...[1]

Rate of the reaction when  and is 0.12 M and 0.1 M respectively = R'

R' =

...[2]

Rate of the reaction when  and is 0.12 M and 0.15 M respectively = R'

R'' =

...[3]

Dividing [1] and [2]

x = 1

Dividing [2] and [3]

y = 1

The rate law of the reaction is ;

b)  The value of the rate constant :

From [1]:

...[1]

The value of the rate constant :

c) Rate of the reaction when  and is 0.39 M and 0.052 M respectively = R

is the reaction rate when the concentrations are = 0.39 M and = 0.052 M.

the answer would be c