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Dibromoethane and potassium iodide react in methanol (the solvent) according to the equation: C2H4Br2 + 3KI → C2H4 + 2KBr + KI3 The initial rate of this reaction was determined in a series of experiments at 65 °C, giving the data below:Experiment [C2H4Br2] /mol L–1 [KI] /mol L–1 +(d[KI3]/dt) /mol L–1s–11 0.426 1.909 0.006272 0.426 2.864 0.009413 1.067 1.909 0.0157 a) Determine the order of the reaction with respect to C2H4Br2Multiple choice 1 Question 10123b) Determine the order of the reaction with respect to KIMultiple choice 2 Question 10123c) Determine the value of the rate constant and select the appropriate units for it.

Question

Dibromoethane and potassium iodide react in methanol (the solvent) according to the equation: C2H4Br2 + 3KI → C2H4 + 2KBr + KI3 The initial rate of this reaction was determined in a series of experiments at 65 °C, giving the data below:Experiment [C2H4Br2] /mol L–1 [KI] /mol L–1 +(d[KI3]/dt) /mol L–1s–11 0.426 1.909 0.006272 0.426 2.864 0.009413 1.067 1.909 0.0157 a) Determine the order of the reaction with respect to C2H4Br2Multiple choice 1 Question 10123b) Determine the order of the reaction with respect to KIMultiple choice 2 Question 10123c) Determine the value of the rate constant and select the appropriate units for it.

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Solution

a) To determine the order of the reaction with respect to C2H4Br2, we compare experiments 1 and 3 where the concentration of KI is constant. The concentration of C2H4Br2 is doubled (1.067/0.426 = 2.5) and the rate of the reaction is also approximately doubled (0.0157/0.00627 = 2.5). This suggests that the reaction is first order with respect to C2H4Br2.

b) To determine the order of the reaction with respect to KI, we compare experiments 1 and 2 where the concentration of C2H4Br2 is constant. The concentration of KI is increased by a factor of 1.5 (2.864/1.909 = 1.5) and the rate of the reaction is also increased by a factor of 1.5 (0.00941/0.00627 = 1.5). This suggests that the reaction is first order with respect to KI.

c) The rate constant can be determined using the rate law expression for a first order reaction: rate = k[C2H4Br2][KI]. From experiment 1, we can substitute the known values into this equation: 0.00627 = k(0.426)(1.909). Solving for k gives k = 0.00627/(0.426*1.909) = 0.0073 L/mol/s. The units for the rate constant for a second order reaction are L/mol/s.

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