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  • Please,please help me 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 x 103 kg/m3 and g = 10 m/s2 then the power of heart in watt is :

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 x 103 kg/m3 and g = 10 m/s2 then the power of heart in watt is :

  • Option 1)

    2.35

  • Option 2)

    3.0

  • Option 3)

    1.50

  • Option 4)

    1.70

 

Answers (1)

As we learnt

Pressure gradient -

frac{dp}{dh}= ho g

- wherein

Pressure varies with respect to depth / height

 

 Volume rate of flow=\frac{5\times 10^{-3}}{60} \: m^{3} \slash sec

Pressure=150 mm of Hg

            =fgh = 13.6\times 10^{3}\times 10\times 150\times 10^{-3}

            =20400 N/m2

 

Power=\frac{dW}{dt}=\frac{d}{dt}\left ( P\Delta V \right )=P\cdot \frac{d}{dt}\left ( \Delta V \right )

         =\frac{20400\times 5\times 10^{-3}}{60}W

         =1.7W


Option 1)

2.35

This option is incorrect

Option 2)

3.0

This option is incorrect

Option 3)

1.50

This option is incorrect

Option 4)

1.70

This option is correct

Posted by

Vakul

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