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2.5 Data presentation and interpretation

2.5 Data presentation and interpretation

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Question 119

The concentration CCC (in mg/L) of a bioactive compound in a chemical reactor is modelled by the equation

C=pqt C = pq^t C=pqt

where ppp and qqq are constants and ttt is the time in hours since the reaction began.

The relationship between ttt and log⁡10C\log_{10} Clog10​C is linear. The graph of this relationship passes through the vertical intercept (0,1.48)(0, 1.48)(0,1.48) and the point (25,0.73)(25, 0.73)(25,0.73).

a.

Find an equation for this line in the form log⁡10C=mt+c\log_{10} C = mt + clog10​C=mt+c.

[2]
b.

Find the value of ppp and the value of qqq, giving your answers to 3 significant figures.

[2]
c.

According to the model, find the value of ttt when the concentration reaches 10 mg/L.

[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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