If for any raction , th rate constant is equal to the rate of the reaction at all concentrations, the order is

Options

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

Answer

To solve the question, we need to analyze the relationship between the rate constant (k) and the rate of reaction (R) in terms of the order of the reaction.

### Step-by-Step Solution:

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

2. **Setting Up the Condition**:
According to the question, it is stated that the rate constant \( k \) is equal to the rate of the reaction \( R \) at all concentrations. This can be expressed as:
\[ k = R \]

3. **Substituting the Rate Law**:
From the rate law, we can substitute \( R \) with \( k [A]^n \):
\[ k = k [A]^n \]

4. **Simplifying the Equation**:
We can simplify the equation by dividing both sides by \( k \) (assuming \( k \neq 0 \)):
\[ 1 = [A]^n \]

5. **Analyzing the Condition**:
The equation \( [A]^n = 1 \) must hold true for all concentrations of \( [A] \). The only way this can be true for any concentration is if \( n = 0 \). This is because any number raised to the power of 0 is equal to 1:
\[ [A]^0 = 1 \]

6. **Conclusion**:
Therefore, if the rate constant is equal to the rate of the reaction at all concentrations, the order of the reaction must be 0.

Thus, the final answer is:
**The order of the reaction is 0.**