Ejercicio 2022-E - Question 1. Ethyl chloride decomposition… · Química II URV 2012

En una síntesi industrial, el compost P s'obté mitjançant una cinètica de primer ordre respecte al reactiu A. L'energia d'activació és $E_a = 62{,}3\text{ kJ/mol}$ i a $80\text{ }^\circ\text{C}$ la constant de velocitat val $k = 0{,}00694\text{ s}^{-1}$.

12. 2022-E - Question 1. Ethyl chloride decomposition kinetics (1.5 points)

At high temperatures, gaseous ethyl chloride decomposes into hydrogen chloride and ethylene according to:

$$\mathrm{CH_3CH_2Cl(g) \rightarrow HCl(g) + CH_2=CH_2(g)}$$

Using the experimental initial rate data measured at $650\ ^\circ\mathrm{C}$:

$[\mathrm{CH_3CH_2Cl}]_0\ \mathrm{(mol/L)}$

Initial Rate $(\mathrm{mol\ L^{-1}\ s^{-1}})$

Experiment 1

0.0100

$1.60\cdot 10^{-8}$

Experiment 2

0.0150

$2.40\cdot 10^{-8}$

Experiment 3

0.0300

$4.80\cdot 10^{-8}$

Experiment 4

0.0400

$6.40\cdot 10^{-8}$

a)

Calculate the reaction order with respect to ethyl chloride concentration and determine the rate constant at $650\ ^\circ\mathrm{C}$ with proper units.

b)

If a sample of ethyl chloride with an initial concentration of $0.0200\ \mathrm{M}$ is heated at $650\ ^\circ\mathrm{C}$, what will its concentration be after $10.0\ \mathrm{h}$? How many hours must elapse for the concentration to fall to $0.00500\ \mathrm{M}$?