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  • Rate Law Explained: How Reactant Concentration Affects Reaction Speed
    The formula that shows how rate depends on the concentration of reactants is the rate law.

    Rate Law:

    ```

    Rate = k[A]^m[B]^n

    ```

    where:

    * Rate: The rate of the reaction, typically measured in units of M/s (moles per liter per second).

    * k: The rate constant, a proportionality constant that reflects the intrinsic speed of the reaction.

    * [A] and [B] are the concentrations of reactants A and B, respectively.

    * m and n are the orders of the reaction with respect to reactants A and B, respectively. They are exponents determined experimentally and indicate how the rate changes with the concentration of each reactant.

    Explanation:

    * The rate law states that the rate of a reaction is directly proportional to the product of the concentrations of the reactants raised to their respective orders.

    * The order of the reaction with respect to a specific reactant is determined experimentally.

    * If the order is 0, the rate is independent of the concentration of that reactant.

    * If the order is 1, the rate is directly proportional to the concentration of that reactant.

    * If the order is 2, the rate is proportional to the square of the concentration of that reactant.

    * The overall order of the reaction is the sum of the individual orders with respect to each reactant (m + n in this case).

    Example:

    Consider the reaction:

    ```

    A + 2B → C

    ```

    If the experimentally determined rate law is:

    ```

    Rate = k[A]^1[B]^2

    ```

    then:

    * The reaction is first order with respect to A (m = 1).

    * The reaction is second order with respect to B (n = 2).

    * The overall order of the reaction is 3 (m + n = 1 + 2).

    This means that doubling the concentration of A will double the rate, while doubling the concentration of B will quadruple the rate.

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