In the reaction, `2" NO"_(2)(g)+F_(2)(g)to2" NO"_(2)F(g)`, order with respect to `NO_(2)` is……………………….and that with respect to `F_(2)` is………………. .

Answer

To determine the order of the reaction with respect to the reactants \( NO_2 \) and \( F_2 \) in the given reaction:

\[ 2 \, NO_2(g) + F_2(g) \rightarrow 2 \, NO_2F(g) \]

we can follow these steps:

### Step 1: Understand the Reaction
The reaction involves two moles of \( NO_2 \) reacting with one mole of \( F_2 \) to produce two moles of \( NO_2F \).

### Step 2: Write the Rate Law Expression
The rate law for a reaction can be expressed as:

\[ \text{Rate} = k [NO_2]^m [F_2]^n \]

where:
- \( k \) is the rate constant,
- \( m \) is the order with respect to \( NO_2 \),
- \( n \) is the order with respect to \( F_2 \).

### Step 3: Determine the Order with Respect to Each Reactant
In many cases, the order of a reaction can be inferred from the stoichiometry of the reaction, especially for elementary reactions.

1. **For \( NO_2 \)**:
- The stoichiometric coefficient of \( NO_2 \) is 2.
- In this case, we can assume that the reaction is first order with respect to each molecule of \( NO_2 \) contributing to the rate. Therefore, the order with respect to \( NO_2 \) is 1.

2. **For \( F_2 \)**:
- The stoichiometric coefficient of \( F_2 \) is 1.
- Similarly, we can assume that the reaction is first order with respect to \( F_2 \) as well. Therefore, the order with respect to \( F_2 \) is also 1.

### Step 4: Conclude the Overall Order of the Reaction
The overall order of the reaction can be calculated by summing the individual orders:

\[ \text{Overall Order} = m + n = 1 + 1 = 2 \]

### Final Answer
- The order with respect to \( NO_2 \) is **1**.
- The order with respect to \( F_2 \) is **1**.

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