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Question
section a 55 marks
answer all the questions in this section in the spaces provided.
1 anaemia is a deficiency in which the blood is not able to transport sufficient oxygen around the body.
microcytic anaemia is one type of anaemia in which red blood cells are smaller than usual. table 1.1
shows the dimensions of microcytic red blood cells and normal red cells.
table 1.1
| type of red blood cell | surface area of red blood cell / $\mu$m$^2$ | volume of red blood cell / fl | surface area to volume ratio |
|---|---|---|---|
| microcytic | 100 | 75 |
(a) complete table 1.1 by calculating the surface area to volume ratio of a microcytic red blood cell.
(b) (i) state how red blood cells maximise their surface area to volume ratio.
(ii) explain how a high surface area to volume ratio makes red blood cells better able to carry out their function.
(c) apart from a high surface area to volume ratio, describe one more adaptation red blood cells have that let them carry out their function.
(d) suggest why microcytic blood cells could cause anaemia.
Part (a)
Step1: Recall the formula for surface area to volume ratio
The surface area to volume ratio is calculated by dividing the surface area by the volume. So the formula is $\text{Ratio} = \frac{\text{Surface Area}}{\text{Volume}}$.
Step2: Substitute the values for microcytic cells
For microcytic red blood cells, the surface area is $100\ \mu\text{m}^2$ and the volume is $75\ \text{fL}$. So we calculate $\frac{100}{75}$. Simplifying this fraction, we divide numerator and denominator by 25: $\frac{100\div25}{75\div25}=\frac{4}{3}\approx1.33$ (or we can just do the division $100\div75 = 1.33$ (rounded to two decimal places)).
Red blood cells maximise their surface area to volume ratio by having a biconcave disc shape (or disc - shaped with a depressed center on both sides). This shape increases the surface area relative to a spherical or other simpler shapes while keeping the volume relatively low.
The function of red blood cells is to transport oxygen (and carbon dioxide). A high surface area to volume ratio means there is more surface area available for the diffusion of gases (like oxygen and carbon dioxide) across the cell membrane. Diffusion is the process by which gases move from an area of high concentration to low concentration. With a larger surface area relative to volume, the rate of diffusion of oxygen into the cell (and carbon dioxide out of the cell) is increased, allowing the red blood cell to more efficiently take up oxygen in the lungs and release it in the tissues.
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The surface area to volume ratio for microcytic red blood cell is $\boldsymbol{\frac{4}{3}\ (\text{or}\ 1.33)}$.