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2.5 Data presentation and interpretation

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Question 89

A chemical engineer is studying the rate at which a specific solid reactant dissolves in a solvent. The mass of the remaining reactant, MMM grams, is recorded hhh hours after the process begins. The relationship is modelled by the equation

log⁡10M=−0.0583h+1.9030≤h≤24 \log_{10} M = -0.0583h + 1.903 \quad 0 \le h \le 24 log10​M=−0.0583h+1.9030≤h≤24
a.

Show that this equation may be written in the form

M=abh M = ab^h M=abh

where aaa and bbb are constants to be determined. Give the value of aaa to the nearest integer and give the value of bbb to 3 significant figures.

[4]
b.

Use the model to predict the mass of the reactant remaining after 24 hours. Give your answer to 2 significant figures.

[2]
Markscheme

2.5 Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.5 Data presentation and interpretation

278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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