Answer to Question #170842 in General Chemistry for Amy

Question

The rate equation for the reaction of nitrogen dioxide and carbon monoxide in the gas state to form carbon dioxide and nitric oxide is represented by the equation:

(CH₃)₃CBr  +  H₂O  →  (CH₃)₃COH  +  HBr

The following data were collected at 125°C:

Initial [H2O] mol L-1 Initial [(CH3)3CBr] mol L-1 Initial rate mol L-1min-1

Experiment 1 5.0 x 10^-2 2.0 x 10^-2 1.7 x 10^-7

Experiment 2 5.0 x 10^-2 4.0 x 10^-2 1.7 x 10^-7

Experiment 3 1.0 x 10^-1 4.0 x 10^-2 1.5 x 10^-6

a.)Write the rate equation for the reaction

b.)Solve for k, include units in your answer

Answer 1

$R =k[A]^x[B]^y$

Dividing experiment 2 results by experiment 1 results,

R = [(CH₃)₃CBr]

1 = 2^x

2⁰ = 2^x

x = 0,

Rate doesn't depend on (CH3)3CBr

Dividing experiment 3 results by experiment 2 results,

R = [H₂O]

8.8 = 2^x

x = 3.14

Therefore the rate reaction is R = [H₂O]^3.14