alleryStart learning →Which plot gives a straight line for a first order reaction?
Aln[A] plotted against time
B[A] plotted against time
C1/[A] plotted against time
D[A]^2 plotted against time
Answer & Solution
Correct answer: A. ln[A] plotted against time
1. The first order integrated law can be written as ln[A] = -kt + ln[A]0.
2. That has the shape y = mx + b with ln[A] as y and time as x.
3. So a plot of ln[A] against time is the straight line, with slope equal to -k.
4. A plot of [A] against time is straight for zero order, and 1/[A] against time is straight for second order.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 12 "Kinetics", section 12.4 Integrated Rate Laws_
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