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Mechanical Properties Of Fluids

Question
CBSEENPH11020013

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? [Use the density of whole blood from Table 10.1].

Solution
Given,
Gauge pressure, P = 2000 Pa 
Density of whole blood, ρ = 1.06 × 10kg m–3 

Acceleration due to gravity, g = 9.8 m/s

Height of the blood container = 

Pressure of the blood container, P = hρ
Therefore comma space

straight h space equals space straight P over ρg space equals space fraction numerator 2000 over denominator 1.06 cross times 10 cubed cross times 9.8 end fraction space equals space 0.1925 space straight 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.