if the heart of a man pumps 4 litres of blood per minute at a pressure of 130 mm of mercury

if the density of mercury is 13.6 gcm-3 calculate the power of heart

Hi Sujal!

Work done by the heart will be given by,

*W*=*P*.∆*V*Here, P is the pressure and ∆

*V*is the volume of blood being pumped.Now, pressure P =

*h*ρgWhere,

*h*= height of mercury column = 130 mm = 0.13 mρ = density of mercury = 13.6 g/cm

^{3}= 13.6 × 10^{3}kg/m^{3}And, g = acceleration due to gravity = 9.8 m/s

^{2}Also, ∆

*V*= 4000*l*= 4 × 10^{–3}m^{3}Where, t = 60 s

Using these values in the equation of power, we get P = 1.15 W

Thus, the power of heart is 1.15 watt.

Hope it is good for you!

Chers!!

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