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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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