Question 1
2 marksA red blood cell contains about 2.7 × 10⁸ haemoglobin molecules. Blood leaving the lungs is 97% saturated with oxygen. Blood leaving an exercising muscle is 25% saturated with oxygen.
Calculate the number of oxygen molecules unloaded by one red blood cell as it passes through the exercising muscle.
Give your answer in standard form.
Model answer
Each haemoglobin molecule carries up to 4 oxygen molecules.
Maximum O₂ per cell = 4 × 2.7 × 10⁸ = 1.08 × 10⁹
Fraction unloaded = 0.97 - 0.25 = 0.72
O₂ unloaded = 1.08 × 10⁹ × 0.72 = 7.776 × 10⁸ = 7.8 × 10⁸ molecules
Explanation
One haemoglobin molecule has four haem groups, so it carries up to four oxygen molecules. The percentage saturation tells you what fraction of these sites are filled, so the fall from 97% to 25% means 72% of the maximum is unloaded. The commonest error is forgetting to multiply by 4; another is giving a long number rather than standard form.
Mark scheme
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1 mark
Correct method, e.g. 4 × 2.7 × 10⁸ × (0.97 - 0.25) or 1.08 × 10⁹ × 0.72; or a correct final answer of 7.8 × 10⁸ with no working
A correct answer of 7.8 × 10⁸ (accept any correct rounding: 7.776 × 10⁸, 7.78 × 10⁸, 7.8 × 10⁸ or 8 × 10⁸) with no working scores 2 marks. Accept for 1 mark: 1.9 × 10⁸ or 1.944 × 10⁸ (did not multiply by 4, the number of oxygen molecules per haemoglobin) OR 777 600 000 or 778 000 000 (correct value not in standard form) OR evidence of 1.08 × 10⁹ (correct maximum number of oxygen molecules carried by one cell).
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1 mark
7.8 × 10⁸ (accept 7.776 × 10⁸, 7.78 × 10⁸ or 8 × 10⁸)
Accept any clear typed form of standard form, e.g. 7.8E8 or '7.8 × 10 to the power 8'. Do not accept 7.8 or 7.8 × 10⁹ for this mark.