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Q.

The heart of a man pumps 5 liters of blood through the arteries per minute at a pressures of 150 mm of mercury. If the density of mercury be 13.6 x 10³ kg/m³ and g = 10 m/s²then the power of heart in watt is :

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a

1.70

b

3.0

c

1.50

d

2.35

answer is B.

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Detailed Solution

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Pressure = 150 m Hg
Pumping rate $= \frac{dV}{dt} = \frac{5 \times 10^{- 3}}{60} m^{3} / s$
power of heart $= P \cdot \frac{dV}{dt} = ρgh \times \frac{dV}{dt}$
$\begin{array}{l} = (13 .6 \times 10^{3} kg / m^{3}) (10) \times (0 .15) \times \frac{5 \times 10^{- 3}}{60} \\ = \frac{13 .6 \times 5 \times 0 .15}{6} = 1 .70 watt \end{array}$

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