The heart of a man pumps 5 liters 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 watt is 1) 1.50 2) 1.70 3) 2.35 4) 3.0

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Solution

Hello,
WORK DONE W IS GIVEN BY
W = F X D
F = PA (PRESSURE X AREA)
OR W = P A.D = P (AD) = P V
OR WORK DONE = PRESSURE X VOLUME
HERE PRESSURE P = 150mm OF Hg
converting to pascal
P= hdg h:height , d:density , g :acc. due to gravity
P = 0.15 x 13.6×10^3 x 10
OR P = 2.04 x 10^4Pa
VOLUME V = 5L = 5000 cm³ = 5x10^-3 m³
HENCE W = PV = (2.04 x 10^4Pa ) x 5x10^-3
OR Wok done = 102 JOULES
NOW THE PUMPING OF 5 L OF BLOOD IS DONE IN 1min = 60s
THUS POWER = WORK DONE/TIME
OR POWER = 102/60 = 1.7 W

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