In a study of the gas phase decomposition of hydrogen iodide at 700 K HI(g) 12 H₂(g) + 2 I₂(g) the following data were obtained: [HI], M seconds 1.57 0 0.785 731 0.393 2.19x10³ 0.197 5.10x10³ Hint: It is not necessary to graph these data. (1) The observed half life for this reaction when the starting concentration is 1.57 M is concentration is 0.785 M is S. (2) The average A(1/[HI]) / At from t = 0 s to t = 731 s is The average A(1/[HI]) / At from t = 731 s to t = 2.19x10³ s is M-1 S-1. (3) Based on these data, the rate constant for this zero Border reaction is M-1 S-1. M-1 S-¹. s and when the starting

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**Study of the Gas Phase Decomposition of Hydrogen Iodide at 700 K**

**Reaction:**
\[ \text{HI(g)} \rightarrow \frac{1}{2} \text{H}_2\text{(g)} + \frac{1}{2} \text{I}_2\text{(g)} \]

The following data were obtained:

| \([HI], M\) | 1.57 | 0.785 | 0.393 | 0.197 |
|---|---|---|---|---|
| Seconds | 0 | 731 | \(2.19 \times 10^3\) | \(5.10 \times 10^3\) |

**Hint:** It is not necessary to graph these data.

1. **Half-Life Observation:**
   - The observed half-life for this reaction when the starting concentration is 1.57 M is ______ seconds and when the starting concentration is 0.785 M is ______ seconds.

2. **Average Rate Calculation:**
   - The average \(\Delta(1/[HI]) / \Delta t\) from \(t = 0\) s to \(t = 731\) s is ______ \(M^{-1} s^{-1}\).
   - The average \(\Delta(1/[HI]) / \Delta t\) from \(t = 731\) s to \(t = 2.19 \times 10^3\) s is ______ \(M^{-1} s^{-1}\).

3. **Rate Constant:**
   - Based on these data, the rate constant for this zero-order reaction is ______ \(M^{-1} s^{-1}\).
Transcribed Image Text:**Study of the Gas Phase Decomposition of Hydrogen Iodide at 700 K** **Reaction:** \[ \text{HI(g)} \rightarrow \frac{1}{2} \text{H}_2\text{(g)} + \frac{1}{2} \text{I}_2\text{(g)} \] The following data were obtained: | \([HI], M\) | 1.57 | 0.785 | 0.393 | 0.197 | |---|---|---|---|---| | Seconds | 0 | 731 | \(2.19 \times 10^3\) | \(5.10 \times 10^3\) | **Hint:** It is not necessary to graph these data. 1. **Half-Life Observation:** - The observed half-life for this reaction when the starting concentration is 1.57 M is ______ seconds and when the starting concentration is 0.785 M is ______ seconds. 2. **Average Rate Calculation:** - The average \(\Delta(1/[HI]) / \Delta t\) from \(t = 0\) s to \(t = 731\) s is ______ \(M^{-1} s^{-1}\). - The average \(\Delta(1/[HI]) / \Delta t\) from \(t = 731\) s to \(t = 2.19 \times 10^3\) s is ______ \(M^{-1} s^{-1}\). 3. **Rate Constant:** - Based on these data, the rate constant for this zero-order reaction is ______ \(M^{-1} s^{-1}\).
Expert Solution
Step 1

Given ->

Reaction is ->

HI(g) ------> 1/2H2(g) + 1/2I2(g) 

-> Half life is time at which concentration left just half the initial concentration.

 

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