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The rate of a certain reaction is given by the following rate law:rate=kN23O3Use this information to answer the questions below.

Question

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Solution

Sure, let's break down the problem step by step.

  1. Identify the rate law: The rate law given is: rate = k[N2][O3]

  2. Determine the order of the reaction with respect to each reactant:

    • The reaction is first order with respect to N2 because the exponent of [N2] is 1.
    • The reaction is first order with respect to O3 because the exponent of [O3] is 1.
  3. Determine the overall order of the reaction: The overall order of the reaction is the sum of the orders with respect to each reactant. Therefore, the overall order is 1 (for N2) + 1 (for O3) = 2.

  4. Interpret the rate constant (k): The rate constant (k) is a proportionality constant that is specific to this reaction at a given temperature. Its units depend on the overall order of the reaction.

  5. Units of the rate constant (k): For a second-order reaction (overall order = 2), the units of k are typically L/(mol·s) or M^(-1)s^(-1).

  6. Example calculation: If you have concentrations of N2 and O3, you can calculate the rate of the reaction using the rate law. For instance, if [N2] = 0.5 M and [O3] = 0.3 M, and k = 2 L/(mol·s), then: rate=k[N2][O3]=2×0.5×0.3=0.3 M/s \text{rate} = k[N2][O3] = 2 \times 0.5 \times 0.3 = 0.3 \text{ M/s}

If you have any specific questions or need further clarification on any part of this process, feel free to ask!

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