Question

Glucose solution is administered to a patient in a hospital. The density of the solution is 1.308 kg/l. If the blood pressure in the vein is 35.7 mmHg, then what is the minimum necessary height of the IV bag above the position of the needle?

Answer 1

The minimum necessary height of the IV bag above the position of the needle is 0.37 m.

Minimum necessary height

The minimum necessary height of the IV bag above the position of the needle is calculated as follows;

P = ρgh

where;

• ρ is density = 1.308 kg/L = 1308 kg/m³
• g is acceleration due to gravity = 9.8 m/s²
• p is pressure = 35.7 mmHg = 4759.609 Pa
• h is height, (m) = ?

h = P/ρg

h = (4759.609) / (9.8 x 1308)

h = 0.37 m

Thus, the minimum necessary height of the IV bag above the position of the needle is 0.37 m.

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