If the rate of the reaction is equal to the rate constant , the order of the reaction is

Options

A. 1
B. 2
C. 0
D. 3

Answer

To determine the order of the reaction when the rate of the reaction is equal to the rate constant, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Rate Law**:
The rate of a chemical reaction can be expressed using the rate law:
\[ r = k[A]^n \]
where \( r \) is the rate of the reaction, \( k \) is the rate constant, \( [A] \) is the concentration of reactant A, and \( n \) is the order of the reaction.

2. **Setting Up the Equation**:
According to the problem, we need to find the order of the reaction when the rate of the reaction is equal to the rate constant:
\[ r = k \]

3. **Substituting into the Rate Law**:
Substitute \( r = k \) into the rate law:
\[ k = k[A]^n \]

4. **Dividing Both Sides by \( k \)**:
Assuming \( k \neq 0 \), we can divide both sides of the equation by \( k \):
\[ 1 = [A]^n \]

5. **Analyzing the Concentration**:
The equation \( [A]^n = 1 \) implies that the concentration \( [A] \) must be equal to 1 when raised to any power. This is true when \( n = 0 \) or when \( [A] \) is equal to 1.

6. **Conclusion**:
The only way for \( [A]^n \) to equal 1 for any concentration \( [A] \) is if \( n = 0 \). Therefore, the order of the reaction is:
\[ \text{Order of the reaction} = 0 \]

### Final Answer:
The order of the reaction is **0**.