The heart of a man pumps 5 litres of blood through the arteries per… | NEET 2015 (AIPMT)

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Power

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 $\times$ 103 kg/m3 and g = 10 m/s2 then the power (in watt) is

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Answer: (c)

Power of a pump $P = p \times \dfrac{V}{t}$ (pressure × volume flow rate).
$p = h\rho g = 0.15 \times 13.6 \times 10^3 \times 10 = 2.04 \times 10^4\text{ Pa}$
$\dfrac{V}{t} = \dfrac{5 \times 10^{-3}}{60} = 8.33 \times 10^{-5}\text{ m}^3/\text{s}$
$P = 2.04 \times 10^4 \times 8.33 \times 10^{-5} \approx 1.70\text{ W}$
So the answer is (c) 1.70.

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