A reaction is performed to study the reaction of nitrogen di

A reaction is performed to study the reaction of nitrogen dioxide with carbon monoxide: The following reaction rate data was obtained in four separate experiments. [CO]o, M 0.381 0.381 0.762 0.762 Experiment 1.18 2.37 1.18 2.37 Initial Rate, Ms1 0.870 3.51 0.870 3.51 4 What is the rate law for the reaction and what is the numerical value of k? Complete the rate law in the box below. Remember that an exponent of\'1\' is not shown and concentrations taken to the zero power do not appear. k .625 M1s-1

Solution

order w.r.t NO2

(a1/a2)^x = r1/r2

(1.18/2.37)^x = (0.87/3.51)

x = 2

order.w.rt CO

(a1/a3)^y = r1/r3

(0.381/0.762)^y = (0.87/0.87)

y = 0

total order = 2+0 = 2

rate = k[NO2]^2

k = rate/[NO2]^2

= 0.87/(1.18)^2

= 0.625 M-1.s-1