Determine the rate law for the reaction, 2IC1 + H2 = I, + 2HCi, from the following initial rate data: Initial Rate(Ms') 2.04x102 4.08x102 2.55x103 5.09x103 [H,], [ICI], 0.250 0.500 0.500 0.500 0.125 0.125 0.125 0.250 A) R = k[IC1]? В) R = k[H2]? C) R = k[ICI][H_]? D) R = k[ICl][H,] E) R = k[ICI]°[H¿] 000

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### Determining the Rate Law

#### Reaction:
\[ 2ICl + H_2 \rightarrow I_2 + 2HCl \]

#### Initial Rate Data:
| \([ICl]_0\) (M) | \([H_2]_0\) (M) | Initial Rate (M/s) |
|:---------------:|:---------------:|:--------------------:|
|      0.250      |      0.500      |      \(2.04 \times 10^{-2}\) |
|      0.500      |      0.500      |      \(4.08 \times 10^{-2}\) |
|      0.125      |      0.125      |      \(2.55 \times 10^{-3}\) |
|      0.125      |      0.250      |      \(5.09 \times 10^{-3}\) |

Based on the given initial rate data, determine the rate law for the reaction.

#### Rate Law Options:
A) \[ R = k[ICl]^2 \]

B) \[ R = k[H_2]^2 \]

C) \[ R = k[ICl][H_2]^2 \]

D) \[ R = k[ICl][H_2] \]

E) \[ R = k[ICl]^2[H_2] \]

### Explanation of Data:
The given data provides the initial concentrations of \(ICl\) and \(H_2\) along with the corresponding initial reaction rates. To determine the rate law, analyze the changes in reactant concentrations and their effect on the reaction rate.

1. **Comparing Rows 1 and 2:**
   - \( [ICl]_0 \) doubles (0.250 M to 0.500 M)
   - \( [H_2]_0 \) is constant (0.500 M)
   - Initial rate also doubles (\(2.04 \times 10^{-2}\) to \(4.08 \times 10^{-2}\))

2. **Comparing Rows 3 and 4:**
   - \( [ICl]_0 \) is constant (0.125 M)
   - \( [H_2]_0 \) doubles (0.125 M to 0.250 M)
   - Initial rate approximately
Transcribed Image Text:### Determining the Rate Law #### Reaction: \[ 2ICl + H_2 \rightarrow I_2 + 2HCl \] #### Initial Rate Data: | \([ICl]_0\) (M) | \([H_2]_0\) (M) | Initial Rate (M/s) | |:---------------:|:---------------:|:--------------------:| | 0.250 | 0.500 | \(2.04 \times 10^{-2}\) | | 0.500 | 0.500 | \(4.08 \times 10^{-2}\) | | 0.125 | 0.125 | \(2.55 \times 10^{-3}\) | | 0.125 | 0.250 | \(5.09 \times 10^{-3}\) | Based on the given initial rate data, determine the rate law for the reaction. #### Rate Law Options: A) \[ R = k[ICl]^2 \] B) \[ R = k[H_2]^2 \] C) \[ R = k[ICl][H_2]^2 \] D) \[ R = k[ICl][H_2] \] E) \[ R = k[ICl]^2[H_2] \] ### Explanation of Data: The given data provides the initial concentrations of \(ICl\) and \(H_2\) along with the corresponding initial reaction rates. To determine the rate law, analyze the changes in reactant concentrations and their effect on the reaction rate. 1. **Comparing Rows 1 and 2:** - \( [ICl]_0 \) doubles (0.250 M to 0.500 M) - \( [H_2]_0 \) is constant (0.500 M) - Initial rate also doubles (\(2.04 \times 10^{-2}\) to \(4.08 \times 10^{-2}\)) 2. **Comparing Rows 3 and 4:** - \( [ICl]_0 \) is constant (0.125 M) - \( [H_2]_0 \) doubles (0.125 M to 0.250 M) - Initial rate approximately
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