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 positions which points up in upward carbon and down in downward carbon are axial

and vice versa holds true for equatorial positions

so the correct answer with labelled diagram will be