Basic chem unit based word problem but I am bad at word problems, please help!!!?

Question

Blood is diluted to 200x its initial vol. and microscopically examined in a layer 0.10mm thick, an average of 30 rbc's are found in each 100 X 100 um square. a)How many red cells are in a cubic mm of blood? b) The rbc's have and average life of 1 month, and the adult blood volume is about 5L. How many rbc's are generated every second in the bone marrow of the adult?

Answer 1

a) The layer's volume is 0.1 x 0.1 x 0.1 = 0.001 mm^3 and 30 RBCs were found. Multiply that by 1000 and then again by 200 (the factor of dilution) to get the number of red blood cells per cubic mm. So, we get

30 x 1000 x 20 = 600000 nos. / mm^3

b) The number of RBCs in 5 litres is given by mutliplying the answer of a with 5000,000 which is the number of cubic millimeters in 5L. How, 1 liter is 1000 cubic centimeter and 1 cc is 1000 cubic mm.

So, total number of Red Blood Cells = 600,000 x 5000,000

= 3 x 10 ^ 12

and it takes about a month for the blood to be changed. 1 month is 30 days, each day has 24 hours and each hour has 3600 seconds. So, we have a total of 30 x 24 x 3600 seconds. That is 2592000 or 2.592 x 10^6

So, the number of red blood cells produced in a second

= (3 x 10^12) / (2.592 x 10^6) = 1.15741 x 10^6 approx.

Answer 2

Hmm a hemecytometer problem. Lol I use a hemecytometer on a daily basis but not sure If its the same.... The equation i use for my cell counts are... (dilution factor)X(#cells)X(10,000) or in your case 200X30X10,000 = cells/ml generally. Total cells = 60 mil.... Need the lifespan of a cell to answer this question though. if 60 mil is constant and we know the lifespan then we can determine how many are dying and therefore how many are being replaced.