Q22Etgt - University Physics with Modern Physics

Question

How many times does a human heart beat during a person’s lifetime? How many gallons of blood does it pump? (Estimate that the heart pumps $\mathbf{50}\mathbf{ }\mathit{c}{\mathit{m}}^{\mathbf{3}}$ of blood with each beat.) 

Step-by-Step Solution

Answer

The heart pumps $4.665 \times {10}^7$ gallons of blood. Also the total number of beat a person beats in his life span of $80$ years will be 353203200.

Step 1: Function of heart

Here,

Heart is an organ which pumps blood from all parts of the body and makes the blood oxygenated.

Heart also act as pump.

It helps the blood to get decarbonized also.

N = Number of heartbeat per minute in a normal human

V= Volume of blood going to heart in each minute

Step 2: Calculation of heart beat in life span

As per the studies the number of heartbeat per minute in human is $84$ to $94$.

Blood which is pumped into the heart is $50 c{m}^3$.

A normal person lives for $80$ years, than total number of heartbeat by that person will be

$$\begin{gathered} =80 \times 365 \times 24 \times 60 \times 84 \\ =3532032000 \end{gathered}$$

So the total number of beat a person beats in his life span of $80$ years will be 

It can be written in SI unit as $3.53 \times {10}^8$.

Step 3: Calculation of blood pumped by heart

The Total amount of blood pumped by the heart will  be 

50 x 3.53 x 108

=1.76 x 1011 cm3

 If we want to convert cubic centimeter into gallon than we need to multiply the answer with $0.000264172$.

Hence 

Blood pumped by heart in lifetime will be = 1.76 x 10¹¹x 0.000264172

=4.665 x10⁷ gallons 

Therefore heart pumps $4.655 \times {10}^7$ gallons of blood. Also the total number of beat a person beats in his life span of $80$ years will be 353203200.