2) Trichloroacetic acid decarboxylates in solution according to: CCl3CO,H(aq) → CHCl3(aq) + CO2(g) The following data was collected during the reaction: V(CO2) (mL) 2.25 t (min) 8.3 14.89 31.14 40.04 330 1200 2400 7760 where V(CO2) = volume of gas collected at T = 25 °C and p = 1 atm. a) Show by graphical means that the reaction obeys a first-order rate law. (Hint: the easiest way is to convert V(CO2) into the # of mol of gas using the parameter a =

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Chapter11: Chemical Kinetics
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2) Trichloroacetic acid decarboxylates in solution according to:
CCl3CO,H(aq) → CHC13(aq) + CO2(g)
The following data was collected during the reaction:
V(CO2) (mL) 2.25
t (min)
8.3
14.89
31.14
40.04
330
1200
2400
7760
where V(CO2) = volume of gas collected at T = 25 °C and p = 1 atm.
a) Show by graphical means that the reaction obeys a first-order rate law.
(Hint: the easiest way is to convert V(CO2) into the # of mol of gas using the parameter a =
V(CO2). - V(CO2); V(CO2). = volume of gas obtained at the end of the reaction, V(CO2)t =
volume of gas collected at time = t. The ratio (a/ao) is most useful, with ao = a when t = 0.
Key assumptions are that CO2(g) obeys the ideal gas law, and that only an insignificant amount
of this gas remains in solution).
b) Find the rate constant and the time needed to consume 25% of the initially present CCI3CO2H.
Transcribed Image Text:2) Trichloroacetic acid decarboxylates in solution according to: CCl3CO,H(aq) → CHC13(aq) + CO2(g) The following data was collected during the reaction: V(CO2) (mL) 2.25 t (min) 8.3 14.89 31.14 40.04 330 1200 2400 7760 where V(CO2) = volume of gas collected at T = 25 °C and p = 1 atm. a) Show by graphical means that the reaction obeys a first-order rate law. (Hint: the easiest way is to convert V(CO2) into the # of mol of gas using the parameter a = V(CO2). - V(CO2); V(CO2). = volume of gas obtained at the end of the reaction, V(CO2)t = volume of gas collected at time = t. The ratio (a/ao) is most useful, with ao = a when t = 0. Key assumptions are that CO2(g) obeys the ideal gas law, and that only an insignificant amount of this gas remains in solution). b) Find the rate constant and the time needed to consume 25% of the initially present CCI3CO2H.
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