If the rate expression for a chemical reaction is given by Rate =`K[A]^n[B]^n`

Options

A. The order of the reaction is m
B. The order of the reaction is n
C. The order of the reaction is m + n
D. The order of the reaction is m - n

Answer

To determine the order of the reaction given the rate expression \( \text{Rate} = k[A]^m[B]^n \), we can follow these steps:

### Step 1: Identify the Rate Expression
The rate expression provided is:
\[ \text{Rate} = k[A]^m[B]^n \]
where \( k \) is the rate constant, \( [A] \) is the concentration of reactant A, \( [B] \) is the concentration of reactant B, and \( m \) and \( n \) are the respective orders with respect to A and B.

### Step 2: Understand the Concept of Reaction Order
The order of a reaction is defined as the sum of the powers of the concentration terms in the rate law expression. It indicates how the rate of reaction is affected by the concentration of reactants.

### Step 3: Sum the Exponents
To find the overall order of the reaction, we need to sum the exponents \( m \) and \( n \):
\[ \text{Order of Reaction} = m + n \]

### Step 4: Conclusion
Thus, the order of the reaction based on the given rate expression is:
\[ \text{Order of Reaction} = m + n \]

### Final Answer
The order of the reaction is \( m + n \).

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