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Typical results for a complete blood count are shown in the table. Assume that a

ID: 315279 • Letter: T

Question

Typical results for a complete blood count are shown in the table. Assume that an adult has roughly 5L of blood in his or her body. Based on these values, estimate: 1) the number of red blood cells 2)the percentage in volume they represent in the blood 3)their mean spacing 4)the total amount of hemoglobin in the blood 5) The number of hemoglobin molecules per cell Red blood cell count (RBO Men: As (4.3-5.7) x 106 cells/L Women: (3.8-5.1) x 106 cells/uL Hematocrit (HCT Men 39-49% Women: 35-45% Hemoglobin (HGB) Men 13.5-17.5 g/dL Women 12.0-16.0 g/dL a 26-34 cell Mean corpuscular hemoglobin (MCH) 31-3796 MCH concentration (MCHC) Mean corpuscular volume 80-100fL (MCV) (4.5-11) x 103 cells/uL White blood cell count Differential of WBC): 57-67 Neutrophils 23-33 Lymphocytes 3-7 Monocytes 1-3 Eosinophils 0-1 Basophils (150-450) x 103 cell/uL Platelets

Explanation / Answer

answer

1: Number of RBCs in body

Men:

since 1uL of sample blood has 4.3-5.7 x 106 cells, 5L blood would have = (4.3-5.7  x 106) x 5 x106 cells

= 21.5-28.5  x 1012 RBCs

Similarly,

Women: (3.8-5.1 x 106) x 5  x 106 cells

= 19.0 - 25.5  x 1012 RBCs in body

2) percentage in volume in blood is given by Hematocrit

therefore for Men: 39-49 %

women: 35-45%

3) mean spacing:

for this the mean corpuscular volume = 80-100 femto litre = 80-100 x 10-15 L

total corpuscular volume = 80-100 x 10-15 x total number of RBCs in blood

Men: = 80-100 x 10-15 x 21.5 - 28.5  x 1012 = 1720-2850 x 10-3 = 1.7-2.8 L

Now, the total blood volume = 5L

therefore , the space available is 1.7-5 to 2.8-5 L = 3.3-2.2 L

and the mean space between the RBC s would require the mean diameter of the blood vessels. data of which is not given.

similarly the

Women :80-100 x 10-15 x 19.0 - 25.5  x 1012 = 1520- 2550 x 10-3 = 1.5-2.5 L

therefore, the volume available in body is 5L - 1.5-2.5 L = 2.5-3.5 L

  

4) total hemoglobin in cell ;

given by mean corpuscular hemoglobin = 26-34 pg/cell

total hemoglobin in blood is   

Men = 26-34 X21.5-28.5  x 1012 = 5.59-9.69  x 102 g

Women= 26-34 x 19.0 - 25.5  x 1012 = 4.94- 8.67 x 102 g

5) molecular weight of hemoglobin is 64000 daltons or 64458 g/mol

since 26-34 pg of hemoglobin in one rbc

therefore around 300 million hemoglobin molecules in one rbc.

6) number of WBC in blood

= (4.5-11 x 103 cells/ul X 5X106 ul) cells (number of wbc /ul x total amount of blood )

= 22.5- 55 x 109 WBC in blood