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Phosgene is a toxic gas prepared by the reaction of carbon monoxide with chlorin

ID: 810322 • Letter: P

Question

Phosgene is a toxic gas prepared by the reaction of carbon monoxide with chlorine.

The following data were obtained in a kinetic study of its formation.

Exp initial [CO] initial [Cl2] initial rate

1 1.00 0.100 1.29*10^-29

2 0.100 0.100 1.33*10^-30

3 0.100 1.00 1.30*10^-29

4 0.100 0.0100 1.32*10^31

(a) Select the rate law for the formation of phosgene.

(b) Calculate the average value of the rate constant

Phosgene is a toxic gas prepared by the reaction of carbon monoxide with chlorine. CO(g) + Cl2(g) Phosgene is a toxic gas prepared by the reaction o COCl2(g) The following data were obtained in a kinetic study of its formation. Exp initial [CO] initial [Cl2] initial rate 1 1.00 0.100 1.29*10^-29 2 0.100 0.100 1.33*10^-30 3 0.100 1.00 1.30*10^-29 4 0.100 0.0100 1.32*10^31 (a) Select the rate law for the formation of phosgene. (b) Calculate the average value of the rate constant

Explanation / Answer

(a)
Ten-fold changes in concentration of each reactant produces a ten-fold change in the reaction rate,
so reaction is first order with respect to each of the reactants. So the answer is
rate = k[CO][Cl2]

(b)
rate = k[CO][Cl2]
calculate k for each case given in a:
k = r/[CO][Cl2]
1.
k = 1.29*10^-29 / [1][0.1]
k = 1.29 x 10^-28

2.
k = 1.33*10^-30 / [0.1][0.1]
k = 1.33 x 10^-28

3.
k = 1.3*10^-29 / [0.1][1]
k = 1.3 x 10^-28

4.
k = 1.32*10^-31 / [0.1][0.01]
k = 1.32 x 10^-28

Average value = (1.29 + 1.33 + 1.30 + 1.32) / 4 * 10^-28
Av.value = 1.31 x 10^-28