First slide

Power

Question

The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be $13.6 \times 10^{3} kg / m^{3} and g = 10 m / s^{2}$ then the power of heart in watt is:

Moderate

A

1.50
B

1.70
C

2.35
D

3.0

Solution

Pressure = 150 mm Hg
Pumping rate = $\frac{dV}{dt} = \frac{5 \times 10^{- 3}}{60} m^{3} / s$
Power of heart $P . \frac{dV}{dt} = ρgh \times \frac{dV}{dt}$
= $(13.6 \times 10^{3} kg / m^{3}) (10) \times (0.15) \times \frac{5 \times 10^{- 3}}{60}$
= $\frac{13.6 \times 5 \times 0.15}{6} = 1.70 watt$

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