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9. Data for the following reaction are given in the table below. CO(g) + NO2(g)

ID: 701750 • Letter: 9

Question

9. Data for the following reaction are given in the table below. CO(g) + NO2(g) CO2(g) + NO(g) Experiment [CO] (mol/L) NO2J(mol/L) Initial rate (Mhr) 5.0 x 10 5.0 x 10 1.0 x 10 1.5 x 10 3.6 x 10 1.8 x 105 3.6 x 10 7.2 x 10 3.4x 10 1.7x10 6.8 x 10 a) What is the rate law for this reaction? b) What is the initial rate for the reaction in experiment 42 10. Consider the following equilibrium at -78.15 °c. The partial pressure of each gas is 0.278 atm. Calculate the equilibrium constant, K for the reaction 195K

Explanation / Answer

Ans 9

Let

Rate law

r = k [CO]a [NO2]b

From exp 1 and 2

r1/r2 = [CO]1a [NO2]1b / [CO]2a [NO2]2b

3.4/1.7 = (3.6/1.8)b

2 = 2b

b = 1

From exp 1 and 3

r1/r2 =  [CO]1a [NO2]1b /  [CO]2a [NO2]2b

3.4/6.8 = (5*10^-4/1*10^-3)a

0.5 = 0.5a

a = 1

Rate law for this reaction

r = k [CO] [NO2]

From exp 1

k = r1/[CO]1 [NO2]1

= (3.4*10^-8)/(5*10^-4*3.6*10^-5)

= 1.8888 M-1 hr-1

Part b

Rate of reaction in experiment 4

r4 = k [CO]4 [NO2]4

= 1.8888 x (1.5*10^-3) x (7.2*10^-5)

= 2.04 x 10^-7 M/hr