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    For a first-order reaction, the plot of a reactant with respect to time is:
    Question

    For a first-order reaction, the plot of a reactant with respect to time is:

    A.

    Linear

    B.

    Exponential

    C.

    Parabolic

    D.

    Hyperbolic

    Correct option is B

    First-Order Reaction Dynamics:
    · In a first-order reaction, the rate of reaction is directly proportional to the concentration of the reactant.
    · The relationship can be described as: [A]=[A0]e−kt
    Where:
    · [A]: Concentration of the reactant at time t.
    · [A0​]: Initial concentration.
    · k: Rate constant.
    · t: Time.
    Nature of the Plot:
    · The concentration of the reactant decreases exponentially with time, forming an exponential decay curve.
    Information Booster: 1. Graphical Representation:
    · Plot of ln⁡[A]\ln[A]ln[A] versus ttt gives a straight line with a slope of −k-k−k.
    2. Applications of First-Order Reactions:
    · Radioactive decay.
    · Decomposition reactions.
    3. Comparison with Zero-Order Reactions:
    · Zero-order reactions have a linear concentration decrease over time

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