Write the rate equation for the reaction 2A + B → C if the order of the reactionis zero.

Rate Equation for Zero-Order Reaction

1. Understanding Zero-Order Reactions: In a zero-order reaction, the rate of the reaction is independent of the concentration of the reactants. This means that no matter how much of the reactants you have, the rate of the reaction remains constant.

2. Rate Equation Format: The general form of the rate equation is given by: $\text{Rate} = k [A]^m [B]^n$ where $k$ is the rate constant, $m$ is the order with respect to reactant $A$, and $n$ is the order with respect to reactant $B$.

3. Applying Zero-Order Conditions: For a zero-order reaction:

   • The overall reaction order is 0, meaning: $m = 0 \quad \text{and} \quad n = 0$

4. Final Rate Equation: Therefore, the rate equation simplifies to: $\text{Rate} = k$

Final Answer

The rate equation for the reaction $2A + B \rightarrow C$ if the order of the reaction is zero is: $\text{Rate} = k$