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 $$13.6$$ ×$$10-3$$ $$kg/m3$$ and g $$=$$ $$10$$ $$m/s2$$ then the power of heart in watt is

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 $$13.6$$ ×$$10-3$$ $$kg/m3$$ and g $$=$$ $$10$$ $$m/s2$$ then the power of heart in watt is

Infinity Learn · Accepted Answer

Here,Volume of blood pumped by man's heart,$$V=5$$ litres $$=5$$×$$10-3$$ $$m3$$  ∵$$1$$ litre $$=10-3$$ $$m3$$ Time in which this volume of blood pumps, $$t=1min=60$$ s Pressure at which the blood pumps, $$P=150$$ mm of $$Hg=0.15$$ m of $$Hg=(0.15$$ $$m)13.6$$×$$103$$ $$kg/m310$$ $$m/s2($$∵$$P=h$$ρ$$g)=20.4$$×$$103$$ $$N/m2$$∴   Power of the heart $$=PVt=20.4$$×$$103$$ $$N/m25$$×$$10-3$$ $$m360$$ $$s=1.70$$ W

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 × $10^{- 3}$ kg/ $m^{3}$ and g = 10 $m / s^{2}$ then the power of heart in watt is

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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 ×10-3 kg/m3 and g = 10 m/s2 then the power of heart in watt is

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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 × $10^{- 3}$ kg/ $m^{3}$ and g = 10 $m / s^{2}$ then the power of heart in watt is