Question 1
2 marksA student used a glucose oxidase reagent, which forms a coloured product with glucose, and a colorimeter to produce the calibration curve shown in the graph. The colorimeter displays absorbance to two decimal places.
Explain why she can estimate the glucose concentration of a sample more precisely when its absorbance is 0.40 than when its absorbance is 1.20.
Model answer
The curve is steep at an absorbance of 0.40 but almost flat at 1.20. On the steep part, a small uncertainty in the absorbance reading, such as ± 0.02, corresponds to only a small range of glucose concentrations: 0.38 to 0.42 covers about 1.3 to 1.5 mmol dm⁻³. On the flat part, the same uncertainty corresponds to a much larger range: 1.18 to 1.22 covers about 8 to 9.3 mmol dm⁻³. So the estimate at 1.20 is much less precise.
Explanation
The precision of a value read from a calibration curve depends on its gradient: where absorbance changes a lot for a small change in concentration, the reading pins the concentration down closely. Where the curve flattens, the reagent is close to being used up, so extra glucose makes little difference to the colour and the method becomes insensitive. This is why samples are diluted so that they fall on the steep part of the curve.
Mark scheme
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1 mark
The curve is (much) steeper at an absorbance of 0.40 (low concentrations) than at 1.20, where it is almost flat
Accept 'the gradient is greater at 0.40'.
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1 mark
So a small change / uncertainty in absorbance (e.g. ± 0.01 or ± 0.02) corresponds to a much smaller range of concentrations at 0.40 than at 1.20
Accept a correct numerical illustration read from the graph, e.g. ± 0.02 in absorbance covers about 1.3 to 1.5 mmol dm⁻³ at 0.40 but about 8 to 9.3 mmol dm⁻³ at 1.20.