This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
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Here are the solutions to the questions: e) i) A) Order of reaction: The order of reaction with respect to a reactant is the exponent to which its concentration term is raised in the rate law. It indicates how the rate of reaction is affected by a change in the concentration of that specific reactant. The overall order of reaction is the sum of the orders with respect to all reactants. B) Instantaneous reaction rate: This is the rate of a chemical reaction at a particular moment in time. It is determined by calculating the slope of the tangent to the concentration-time curve at that specific time. ii) Determine the half-life of the reaction: The half-life (t_1/2) is the time required for the concentration of a reactant to decrease to half of its initial value. Let's examine the data: From [A] = 0.40 mol dm^-3 (at t = 8 × 10^3 s) to [A] = 0.20 mol dm^-3 (at t = 16 × 10^3 s). The concentration has halved. The time taken is (16 - 8) × 10^3 s = 8 × 10^3 s. From [A] = 0.28 mol dm^-3 (at t = 12 × 10^3 s) to [A] = 0.14 mol dm^-3 (at t = 20 × 10^3 s). The concentration has halved. The time taken is (20 - 12) × 10^3 s = 8 × 10^3 s. From [A] = 0.58 mol dm^-3 (at t = 4 × 10^3 s), half of this is 0.29 mol dm^-3. This value is very close to 0.28 mol dm^-3 at t = 12 × 10^3 s. The time taken is approximately (12 - 4) × 10^3 s = 8 × 10^3 s. Since the half-life is constant, the reaction is first order. The half-life of the reaction is 8 × 10^3 s. iii) Determine the order of the reaction with respect to A: As observed in part (ii), the half-life of the reaction is constant and independent of the initial concentration of A. This is a characteristic property of a first-order reaction. Therefore, the order of the reaction with respect to A is first order. d) Define an acid according to Brønsted and Lowry: According to the Brønsted-Lowry theory, an acid is a proton donor. It is a chemical species that donates a hydrogen ion (H^+) to another substance in a chemical reaction.