lorine monoxide (CIO) accumulates in the stratosphere above Antarctica each winter and plays a key role in the formation a ove the South Pole each spring. Eventually, ClO decomposes according to the equation: 2C1O (g) → Cl2 (9) + O2 (g) e kinetics of this reaction were studied in a laboratory experiment at 298K, and the data are shown in the table below. Determine the order of the reaction Determine the rate law expression Determine the value of the rate constant, k, at 298K. Time (ms) [CiO] (M) In [ClO] cio (M-1) ClO] 1.50 × 10–8 -18.0 6.67 × 107 7.19 × 10-9 4.74 × 10–9 3.52 × 10-9 10 -18.8 1.39 × 108 20 -19.2 2.11 × 108 30 -19.5 2.84 × 108 2.81 × 10-9 1.27 × 10-9 6.60 × 10–10 40 -19.7 3.56 × 108 7.87 × 108 1.52 × 10º 100 -20.5 200 -21.1

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**Chlorine Monoxide (\(ClO\)) Decomposition Reaction**

Chlorine monoxide (\(ClO\)) accumulates in the stratosphere above Antarctica each winter and plays a key role in the formation of the ozone hole above the South Pole each spring. Eventually, \(ClO\) decomposes according to the equation:

\[ 
2ClO (g) \rightarrow Cl_2 (g) + O_2 (g) 
\]

The kinetics of this reaction were studied in a laboratory experiment at \(298K\), and the data are shown in the table below.

**Tasks**
- (a) Determine the order of the reaction
- (b) Determine the rate law expression
- (c) Determine the value of the rate constant, \(k\), at \(298K\).

**Data Table**

| Time (ms) | \([ClO]\) (M)   | \(\ln [ClO]\) | \(\frac{1}{[ClO]}\) (\(M^{-1}\)) |
|-----------|-----------------|--------------|---------------------------------|
| 0         | \(1.50 \times 10^{-8}\) | -18.0        | \(6.67 \times 10^7\)           |
| 10        | \(7.19 \times 10^{-9}\) | -18.8        | \(1.39 \times 10^8\)           |
| 20        | \(4.74 \times 10^{-9}\) | -19.2        | \(2.11 \times 10^8\)           |
| 30        | \(3.52 \times 10^{-9}\) | -19.5        | \(2.84 \times 10^8\)           |
| 40        | \(2.81 \times 10^{-9}\) | -19.7        | \(3.56 \times 10^8\)           |
| 100       | \(1.27 \times 10^{-9}\) | -20.5        | \(7.87 \times 10^8\)           |
| 200       | \(6.60 \times 10^{-10}\) | -21.1        | \(1.52 \times 10^9\)           |


This data will enable
Transcribed Image Text:**Chlorine Monoxide (\(ClO\)) Decomposition Reaction** Chlorine monoxide (\(ClO\)) accumulates in the stratosphere above Antarctica each winter and plays a key role in the formation of the ozone hole above the South Pole each spring. Eventually, \(ClO\) decomposes according to the equation: \[ 2ClO (g) \rightarrow Cl_2 (g) + O_2 (g) \] The kinetics of this reaction were studied in a laboratory experiment at \(298K\), and the data are shown in the table below. **Tasks** - (a) Determine the order of the reaction - (b) Determine the rate law expression - (c) Determine the value of the rate constant, \(k\), at \(298K\). **Data Table** | Time (ms) | \([ClO]\) (M) | \(\ln [ClO]\) | \(\frac{1}{[ClO]}\) (\(M^{-1}\)) | |-----------|-----------------|--------------|---------------------------------| | 0 | \(1.50 \times 10^{-8}\) | -18.0 | \(6.67 \times 10^7\) | | 10 | \(7.19 \times 10^{-9}\) | -18.8 | \(1.39 \times 10^8\) | | 20 | \(4.74 \times 10^{-9}\) | -19.2 | \(2.11 \times 10^8\) | | 30 | \(3.52 \times 10^{-9}\) | -19.5 | \(2.84 \times 10^8\) | | 40 | \(2.81 \times 10^{-9}\) | -19.7 | \(3.56 \times 10^8\) | | 100 | \(1.27 \times 10^{-9}\) | -20.5 | \(7.87 \times 10^8\) | | 200 | \(6.60 \times 10^{-10}\) | -21.1 | \(1.52 \times 10^9\) | This data will enable
Expert Solution
Step 1

Order of a reaction - it is the sum of the power of reactants involved in the reaction while writing the rate law .

rate constant - it is the proportionality constant which relates the rate of the reaction to the concentration of the reactant species in the rate law .

rate law can be written as :

rate = k [conc]a

here a is the order of reaction 

k is rate constant . 

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