Given the following data, determine the rate constant of the reaction 2NO(g) +Cl, (g) + 2NOCI(g). Experiment 1 2 3 O a) 59.6 M 2-1 Ob) 1.13 [NO] (M) 0.0300 0.0150 0.0150 M-25-1 c) 37.8 M-2-1 d) 9.44 M-25-1 0.0265 M 25-11 [Cl₂) (M) 0.0100 0.0100 0,0400 Rate (M/s). 3.40 10 4 8.50 10 5. 3.40 104

Chemistry
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Chapter1: Chemical Foundations
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**Determining the Rate Constant of a Reaction**

*Given Reaction:*
\[ 2NO(g) + Cl_2(g) \rightarrow 2NOCl(g) \]

*Experimental Data:*

| Experiment | \([NO]\) (M) | \([Cl_2]\) (M) | Rate (M/s)       |
|------------|--------------|----------------|------------------|
| 1          | 0.0300       | 0.0100         | \(3.40 \times 10^{-4}\) |
| 2          | 0.0150       | 0.0100         | \(8.50 \times 10^{-5}\) |
| 3          | 0.0150       | 0.0400         | \(3.40 \times 10^{-4}\) |

*Options to Determine Rate Constant \(k\):*

a) \(59.6 \, \text{M}^{-2}\text{s}^{-1}\)  
b) \(1.13 \, \text{M}^{-2}\text{s}^{-1}\)  
c) \(37.8 \, \text{M}^{-2}\text{s}^{-1}\)  
d) \(9.44 \, \text{M}^{-2}\text{s}^{-1}\)  
e) \(0.0265 \, \text{M}^{-2}\text{s}^{-1}\)  

**Instructions:**

Analyze the data to calculate the rate constant \(k\) for the given reaction using the method of initial rates. Determine which option represents the correct rate constant.
Transcribed Image Text:**Determining the Rate Constant of a Reaction** *Given Reaction:* \[ 2NO(g) + Cl_2(g) \rightarrow 2NOCl(g) \] *Experimental Data:* | Experiment | \([NO]\) (M) | \([Cl_2]\) (M) | Rate (M/s) | |------------|--------------|----------------|------------------| | 1 | 0.0300 | 0.0100 | \(3.40 \times 10^{-4}\) | | 2 | 0.0150 | 0.0100 | \(8.50 \times 10^{-5}\) | | 3 | 0.0150 | 0.0400 | \(3.40 \times 10^{-4}\) | *Options to Determine Rate Constant \(k\):* a) \(59.6 \, \text{M}^{-2}\text{s}^{-1}\) b) \(1.13 \, \text{M}^{-2}\text{s}^{-1}\) c) \(37.8 \, \text{M}^{-2}\text{s}^{-1}\) d) \(9.44 \, \text{M}^{-2}\text{s}^{-1}\) e) \(0.0265 \, \text{M}^{-2}\text{s}^{-1}\) **Instructions:** Analyze the data to calculate the rate constant \(k\) for the given reaction using the method of initial rates. Determine which option represents the correct rate constant.
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