Experiment Initial [CS2] (mol/L) Initial Rate (mol/L's) 1 0.100 2.7 x 10-7 2 0.080 2.2 x 10-7 0.055 1.5 x 10-7 3 4 0.044 1.2 x 10-7

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Chapter1: Chemical Foundations
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Carbon disulfide, a poisonous, flammable liquid, is an excellent solvent for phosphorus, sulfur, and some other nonmetals. A kinetic study of its gaseous decomposition reveals these data:


(a) Choose the rate law for the decomposition of CS2.

Rate =
a  
k
b  
k[CS2]
c  
k[CS2]2
d  
k[CS2]3


(b) Calculate the average value of the rate constant. Enter your answer in scientific notation.

**Table of Experimental Data:**

This table represents a series of experiments analyzing the relationship between the initial concentration of carbon disulfide \([CS_2]\) and the initial reaction rate.

| **Experiment** | **Initial \([CS_2]\) (mol/L)** | **Initial Rate (mol/L·s)** |
|----------------|-------------------------------|---------------------------|
| 1              | 0.100                         | \(2.7 \times 10^{-7}\)    |
| 2              | 0.080                         | \(2.2 \times 10^{-7}\)    |
| 3              | 0.055                         | \(1.5 \times 10^{-7}\)    |
| 4              | 0.044                         | \(1.2 \times 10^{-7}\)    |

**Explanation:**

- The table compares four experiments where the initial concentration of \(CS_2\) was varied.
- The corresponding initial reaction rates are provided for each concentration.
- The concentration is measured in moles per liter (mol/L), and the reaction rates are given in moles per liter per second (mol/L·s).
- Observing the data, there is a trend that a decrease in the initial concentration of \(CS_2\) leads to a decrease in the initial reaction rate, suggesting a direct correlation between these variables.
Transcribed Image Text:**Table of Experimental Data:** This table represents a series of experiments analyzing the relationship between the initial concentration of carbon disulfide \([CS_2]\) and the initial reaction rate. | **Experiment** | **Initial \([CS_2]\) (mol/L)** | **Initial Rate (mol/L·s)** | |----------------|-------------------------------|---------------------------| | 1 | 0.100 | \(2.7 \times 10^{-7}\) | | 2 | 0.080 | \(2.2 \times 10^{-7}\) | | 3 | 0.055 | \(1.5 \times 10^{-7}\) | | 4 | 0.044 | \(1.2 \times 10^{-7}\) | **Explanation:** - The table compares four experiments where the initial concentration of \(CS_2\) was varied. - The corresponding initial reaction rates are provided for each concentration. - The concentration is measured in moles per liter (mol/L), and the reaction rates are given in moles per liter per second (mol/L·s). - Observing the data, there is a trend that a decrease in the initial concentration of \(CS_2\) leads to a decrease in the initial reaction rate, suggesting a direct correlation between these variables.
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