The heart of a man pumps 5 litre of blood through the arteries per minute at a pressure of 150 mm of mercury.If the density of mercury be `13.6 xx10^(3) kg//m^(3)and g = 10 m//s^(2)` then the power of heart in watt is :

Options

A. `1.50`
B. `1.70`
C. `2.35`
D. `3.00`

Answer

B

Explanation

Pumping of blood `(dv)/(dt) = (5mm)/(mm) =(5xx10^(-3))/60 (m^(3))/S`
Pressure P = 150 mm of Hg `rArr h = 150 xx10^(-3) m `
Power of heart ` = P (dv)/(dt)`
` = rho gh (dv)/(dt)`
` = 13.6 xx10^(3) xx10 xx150 xx10^(-3) xx (5xx10^(-3))/60`
Power of heart ` = 1700 xx 10^(-3) = 1.70 `watt = 1.70 W