Questions: Select the correct answer based on the information and question below [CH₄]

Transcript text: Select the correct answer based on the information and question below $\left[\mathrm{CH}_{4}\right]$

Solution

Solution Steps

Step 1: Identify the overall reaction and mechanism

The overall reaction is given as: \[ \text{CO}(g) + \text{CH}_4(g) \leftrightarrow 3 \text{CO}(g) + 2 \text{H}_2(g) \]

The mechanism is:

Step 1: $\text{CH}_4 \rightarrow \text{C} + 2 \text{H}_2$ (slow)
Step 2: $\text{CO} + \text{C} \rightarrow \text{CO} + \text{O}$ (fast)
Step 3: $\text{C} + \text{O} \rightarrow \text{CO}$ (fast)

Step 2: Determine the rate-determining step

The rate-determining step is the slowest step in the mechanism. Here, Step 1 is the slow step: \[ \text{CH}_4 \rightarrow \text{C} + 2 \text{H}_2 \]

Step 3: Analyze the rate law based on the rate-determining step

Since the rate-determining step involves $\text{CH}_4$, the rate law will be dependent on the concentration of $\text{CH}_4$: \[ \text{Rate} = k[\text{CH}_4] \]

Final Answer

The correct graph representing how the reaction rate changes with the concentration of $[\text{CH}_4]$ is the one that shows a linear relationship, which is option (a).

Was this solution helpful?