During blood transfusion the needle is ...

Mechanical Properties of Fluids

Question : 24 of 31

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During 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? (Density of blood

= 1.06 \times 103 \, \text{kg} \, \text{m}^{-3})

Solution:

Here, gauge pressure,

P=2000 \, \text{Pa}

density of whole blood,

\rho = 1.06 \times 10^{3} \, \text{kg} \, \text{m}^{-3}

g=9.8 \, \text{m} \, \text{s}^{-2}

Let

h =

height at which blood container must be placed = ?

Using the relation,

P = h \rho g

, we get

h = \frac{P}{\rho g}

= \frac{2000}{1.06 \times 10^{3} \times 9.8} \, \text{m}

= \frac{1000}{106 \times 49} \, \text{m}

m = 0.193 \, \text{m} \text{ or } h = 0.2 \, \text{m}.

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