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The human body has a blood volume of about 5 liters (p = 1060 kg /...

The human body has a blood volume of about 5 liters (p = 1060 kg / m3). The total volume of blood with a cell density of 1225 kg / m3 turned out to contain 1% white blood cells and 44% red blood cells. Red blood cells 7.5 x 106 m in diameter. Determine the total number of blood cells in human blood

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Expert Solution

Ans. Human body has a blood volume (V) of about 5 L = 0.005 m3.

Density of blood cells,   = 1060 kg/m3.

Total mass of blood cells,  

kg

kg

Cell density,   = 1225 kg/m3.

Total cell volume,  

  m3

Cell volume occupied by red blood cells () = Total cell volume X 44%

=  

=   m3

Diameter of each red blood cell, d = m

Volume of each red blood cell, v =

=  

=    m3

Number of red blood cells =  

=  

=  

Since, the white blood cells occupied 1% of total cell volume. Then, the number of white blood cells will be   times the number of red blood cells.

Number of white blood cells =

=  

Therefore, total number of blood cells in human blood =  

=   (Ans.)

N.B ::  This problem basically belongs to biophysics. Any problem related to R.B.C, W.B.C, DNA, RNA etc. are very conceptual and interesting as well.

So, I highly recommend to follow up and practice these kind of problems regularly and boost your level up.

genius_generous answered 2 years ago
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