At a resting pulse rate of 77 beats per minute, the human heart typically pumps about 65 mL of blood per beat. Blood has a denstity of 1060 kg / m3. Circulating all of the blood in the body through the heart takes about 1 min for a person at rest. (a) How much blood is in the body? (b) On average, what mass of blood does the heart pump with each heart beat?
Given:
1 minute circulation
77 beats per minute
65 ml of blood per beat
blood density of 1060kg/m³
a) how much blood is in the body?
77 beats per min 65ml per beat = 5,005 ml per minute
5,005ml 1l/1000ml = 5.0005 Liters.
I'm not sure on how to solve for question b.
Answer:
(a) Blood in the body is 7765 = 5005 ml
(b) On average, mass of blood does the heart pump with each heart beat is 68.9 g
Step-by-step explanation:
Given : At a resting pulse rate of 77 beats per minute, the human heart typically pumps about 65 mL of blood per beat. Blood has a denstity of 1060 kg / m3. Circulating all of the blood in the body through the heart takes about 1 min for a person at rest
To Find: (a) How much blood is in the body?
(b) On average, what mass of blood does the heart pump with each heart beat?
Solution :
Since we are given that heart beats per minute =77
And Heart pumps about 65 mL of blood per beat
(a) So, blood in the body is 7765 = 5005 ml
Since mass = volume density
⇒ so, mass of blood does the heart pump with each heart beat = volume density
⇒mass = \(65 ml *1060kg/m^{3}\)
\(1ml = 10^{-6} m^{3}\)
Thus 65 ml = \(65*10^{-6} m^{3}\)
⇒mass = \(65*10^{-6} m^{3} *1060kg/m^{3}\)
⇒mass = \(68900*10^{-6}\)
⇒mass = \(689*10^{-4}\)
⇒mass = \(689*10^{-3}*10^{-1}\)
⇒mass = \(68.9*10^{-3} kg\)
⇒mass = \(68.9grams\)
(b) On average, mass of blood does the heart pump with each heart beat is 68.9 g