Finding an incorrect decay measurement

Finding an incorrect decay measurement

Secondary 3
9 marks
TGM Original Questions

A substance has mass \(M=Ae^{-kt}\) grams after \(t\) hours, where \(A,k>0\). One mass in the table was recorded incorrectly.

\(t\)01234
\(M\)8048.529.424.810.8
  1. On separate graph paper, plot \(\ln M\) against \(t\), and draw a suitable straight line.[4]
  2. Identify the incorrect mass and estimate its correct value.[2]
  3. Estimate \(A\) and \(k\).[3]

Solution:

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Answer:(b) At \(t=3\), replace \(24.8\) g with approximately \(17.9\) g. (c) \(A\approx80,\ k\approx0.500\).

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