Question

Jeff's body contains about 4.72 L of blood that has a density of 1060 kg/m2. Approximately 45.0 % ( by mass) of the blood is cells and the rest is plasma. The density of blood cells is approximately 1125 kg/m, and about 1% of the cells are white blood cells, the rest being red blood cells. The red blood cells are about 7.50 pm across (modeled as spheres). What is the mass of the blood mood in Jeff's body? kg mylood Approximately how many blood cells (of both types) N are in Jeff's blood? blood cells N=

Answer 1

The answer for above problem is explained below.

mass of the blood is, mblood = blood ovi = 1060 kg / m3 x 4.72x163m mbrood = 15.0032 kg Calculation of Total blood cells mass Volume of the cells = density - 45% x m blood l cells 0.45 85.0032 kg 1125 kg/mp » Volume of blood cells = 2.00128 x 103 m3 And volume of white blood cells - 146 x 2.00128 x10? m? = 2.00128 x105 m3

cell radius (8) = 705x1olon e) 8= 3.75 x 100m volume of single blood cell = 4 T 93 - T * [ 3.75 x16*m7 = 2.2078 x 10t6 m3 .. Number of red blood cells, 2.00128 x16?m? - 2.00128 x 10"m 2.2018 x 10t6 m² 12 28.9739 x 10 white of blood cells And Nun ber 2.00128 x105 m3 -16 3 2.2078 x10 m

9.06 459 x 100 = ... Total number of blood cells N = (8.9134 x102] +(9.06484 X160] N = [9.064 x 102 cells