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Under constant conditions, the half-life of a first-order reaction ________. a does not depend on the initial reactant concentration b is constant c is the time necessary for the reactant concentration to drop to half its original value d can be calculated from the reaction rate constant e all of the above are correct.
Under constant conditions, the half-life of a first-order reaction ________. a does not depend on the initial reactant concentration b is constant c is the time necessary for the reactant concentration to drop to half its original value d can be calculated from the reaction rate constant e all of the above are correct.
Final answer:Option e) The half-life of a first-order reaction is constant, independent of the initial concentration of the reactant, and can be calculated based on the rate constant. All the given statements about the half-life of a first-order reaction are correct.Explanation:The half-life of a first-order reaction is characterized by several important features. Under constant conditions, the half-life of a first-order reaction:does not depend on the initial reactant concentrationis constantis the time necessary for the reactant concentration to drop to half its original valuecan be calculated from the reaction rate constantall of the above statements are correctFor first-order reactions, the half-life is given by the equation t1/2 = 0.693/k, where k is the rate constant and t1/2 is the half-life. This indicates that for first-order reactions, such as radioactive decay, the time it takes for the concentration of the reactant to decrease to half its initial amount is a fixed value and does not vary with concentration....