Ncert Exercises & Solutions

10.24 During a blood transfusion, the needle is inserted in a vein where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that blood may just enter the vein? [Use the density of whole blood from Table 10.1].

Given,

Gauge pressure, P = 2000 Pa

The density of whole blood, ρ = 1.06 × 10³ kg m^–3

Let the height of the blood container = h

The pressure of the blood container should b equal to the pressure inside the vein.

$\Rightarrow P = hρg \Rightarrow h = \frac{P}{ρg} = \frac{2000}{1.06 \times 10^{3} \times 9.8} = 0.1925 m$

The blood may enter the vein if the blood container is kept at a height greater than 0.1925 m, i.e., about 0.2 m.

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