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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=10m/s2 then power of heart in watt is?
Most Upvoted Answer
The heart of a man pumps 5 litres of blood through the arteries per mi...
Calculation of Power of Heart
Given:
- Volume of blood pumped by heart per minute (Q) = 5 litres = 0.005 m^3/min
- Pressure of blood pumped by heart (P) = 150 mm of mercury
- Density of mercury (ρ) = 13.6×10^3 kg/m^3
- Acceleration due to gravity (g) = 10 m/s^2
Conversion:
- 1 litre = 0.001 m^3
- 150 mm of mercury = 150/760 m of water (since 1 atm = 760 mm of mercury) = 0.197 atm
- 1 atm = 101325 Pa (Pascal)
- 1 Pa = 1 N/m^2
- 1 W (Watt) = 1 J/s (Joule per second)
Calculation:
- Pressure of blood in Pa = 0.197 atm x 101325 Pa/atm = 19999.425 Pa
- Force exerted by heart (F) = Q x P = 0.005 m^3/min x 19999.425 Pa = 99.997125 N/min
- Work done by heart (W) = F x d = m x g x d = ρ x V x g x d (since m = ρ x V)
- Here, d is the distance travelled by the blood in one minute, which is equal to the length of the circulatory system (about 100,000 km)
- Therefore, d = 100,000 km = 100,000,000 m
- W = ρ x V x g x d = 13.6×10^3 kg/m^3 x 0.005 m^3/min x 10 m/s^2 x 100,000,000 m = 6.8 x 10^9 J/min
- Power of heart (P) = W/t = 6.8 x 10^9 J/min / 60 s/min = 1.13 x 10^8 W
Therefore, the power of the heart is 1.13 x 10^8 W.
Given:
- Volume of blood pumped by heart per minute (Q) = 5 litres = 0.005 m^3/min
- Pressure of blood pumped by heart (P) = 150 mm of mercury
- Density of mercury (ρ) = 13.6×10^3 kg/m^3
- Acceleration due to gravity (g) = 10 m/s^2
Conversion:
- 1 litre = 0.001 m^3
- 150 mm of mercury = 150/760 m of water (since 1 atm = 760 mm of mercury) = 0.197 atm
- 1 atm = 101325 Pa (Pascal)
- 1 Pa = 1 N/m^2
- 1 W (Watt) = 1 J/s (Joule per second)
Calculation:
- Pressure of blood in Pa = 0.197 atm x 101325 Pa/atm = 19999.425 Pa
- Force exerted by heart (F) = Q x P = 0.005 m^3/min x 19999.425 Pa = 99.997125 N/min
- Work done by heart (W) = F x d = m x g x d = ρ x V x g x d (since m = ρ x V)
- Here, d is the distance travelled by the blood in one minute, which is equal to the length of the circulatory system (about 100,000 km)
- Therefore, d = 100,000 km = 100,000,000 m
- W = ρ x V x g x d = 13.6×10^3 kg/m^3 x 0.005 m^3/min x 10 m/s^2 x 100,000,000 m = 6.8 x 10^9 J/min
- Power of heart (P) = W/t = 6.8 x 10^9 J/min / 60 s/min = 1.13 x 10^8 W
Therefore, the power of the heart is 1.13 x 10^8 W.
Community Answer
The heart of a man pumps 5 litres of blood through the arteries per mi...
Power=pressure×volume/time .
and pressure=dhg.
on calculation you will get ans. near to 1.7
and pressure=dhg.
on calculation you will get ans. near to 1.7
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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=10m/s2 then 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=10m/s2 then power of heart in watt is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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=10m/s2 then power of heart in watt is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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=10m/s2 then 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 13.6×10^3 kg/m3 and g=10m/s2 then power of heart in watt is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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=10m/s2 then power of heart in watt is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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=10m/s2 then power of heart in watt is?.
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