A chemistry graduate student is studying the rate of this reaction: 2HI (g) → H2 (g) +I½ (g) He fills a reaction vessel with HI and measures its concentration as the reaction proceeds: time [HI] (seconds) 0 0.500 M 0.10 0.222 M 0.20 0.143 M 0.30 0.105 M 0.40 0.0835 M Use this data to answer the following questions. Write the rate law for this reaction. rate = k Calculate the value of the rate constant k. k = U Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Reaction Rate Study**

A chemistry graduate student is studying the rate of this reaction:

\[2HI(g) \rightarrow H_2(g) + I_2(g)\]

He fills a reaction vessel with HI and measures its concentration as the reaction proceeds:

| time (seconds) | \([HI]\) |
|----------------|-----------|
| 0              | 0.500 M   |
| 0.10           | 0.222 M   |
| 0.20           | 0.143 M   |
| 0.30           | 0.105 M   |
| 0.40           | 0.0835 M  |

**Use this data to answer the following questions.**

1. **Write the rate law for this reaction.**

   \[ \text{rate} = k \, [HI]^2 \]

2. **Calculate the value of the rate constant \(k\).**

   Round your answer to 2 significant digits. Also, be sure your answer has the correct unit symbol.

   \[ k = \] 

*Visual Aids for Calculation:*
The problem includes a calculator interface with options to clear, reset, and obtain help.

Remember to input the concentrations and time accurately to solve for the rate constant, applying the rate law correctly. The graphical interface helps ensure precision in calculations and verification of steps.

---

This exercise provides practical understanding of reaction kinetics, emphasizing accurate measurement and calculation of concentration changes over time.
Transcribed Image Text:**Reaction Rate Study** A chemistry graduate student is studying the rate of this reaction: \[2HI(g) \rightarrow H_2(g) + I_2(g)\] He fills a reaction vessel with HI and measures its concentration as the reaction proceeds: | time (seconds) | \([HI]\) | |----------------|-----------| | 0 | 0.500 M | | 0.10 | 0.222 M | | 0.20 | 0.143 M | | 0.30 | 0.105 M | | 0.40 | 0.0835 M | **Use this data to answer the following questions.** 1. **Write the rate law for this reaction.** \[ \text{rate} = k \, [HI]^2 \] 2. **Calculate the value of the rate constant \(k\).** Round your answer to 2 significant digits. Also, be sure your answer has the correct unit symbol. \[ k = \] *Visual Aids for Calculation:* The problem includes a calculator interface with options to clear, reset, and obtain help. Remember to input the concentrations and time accurately to solve for the rate constant, applying the rate law correctly. The graphical interface helps ensure precision in calculations and verification of steps. --- This exercise provides practical understanding of reaction kinetics, emphasizing accurate measurement and calculation of concentration changes over time.
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