The rate expression for a chemical reaction `2NO_(2)F to 2NO_(2) + F_(2)` is given by rate = `K|NO_(2)F]` The rate determining step may be

Options

A. `2NOF_(2) to 2NO_(2) + F_(2)`
B. `NO_(2)F + F to NO_(2) + F_(2)`
C. `NO_(2)F to NO_(2) + F`
D. `NO_(2) + F to NO_(2)F`

Explanation

To solve the problem, we need to identify the rate determining step (RDS) of the given reaction based on the provided rate expression. Let's break this down step by step.

### Step 1: Understand the Rate Expression
The rate expression given is:
\[ \text{Rate} = k[\text{NO}_2\text{F}] \]
This indicates that the rate of the reaction is directly proportional to the concentration of the reactant \(\text{NO}_2\text{F}\).

### Step 2: Identify the Reaction
The chemical reaction is:
\[ 2\text{NO}_2\text{F} \rightarrow 2\text{NO}_2 + \text{F}_2 \]
This reaction involves the decomposition of \(\text{NO}_2\text{F}\) into \(\text{NO}_2\) and \(\text{F}_2\).

### Step 3: Determine the Rate Determining Step
The rate determining step is the slowest step in a multi-step reaction that controls the overall rate of the reaction. Since the rate expression depends only on the concentration of \(\text{NO}_2\text{F}\), it suggests that the step involving \(\text{NO}_2\text{F}\) is likely the slowest step.

### Step 4: Analyze the Options
1. **Option 1**: Involves a different reactant (not \(\text{NO}_2\text{F}\)).
2. **Option 2**: Involves \(\text{NO}_2\text{F}\) and another reactant (\(F\)), but since the rate depends only on \(\text{NO}_2\text{F}\), this cannot be the rate determining step.
3. **Option 3**: Involves only \(\text{NO}_2\text{F}\), which matches the rate expression.
4. **Option 4**: Involves a different reactant (not \(\text{NO}_2\text{F}\)).

### Conclusion
Based on the analysis, the correct answer is **Option 3**, as it is the only option where the rate determining step involves the reactant that the rate expression depends on.

### Final Answer
The rate determining step may be **Option 3**.

---