For women in 1960 , the average cholesterol count was 206 . Like many blood chem

Question

For women in 1960, the average cholesterol count was 206. Like many blood chemistry measurements, this result is measured in units of milligrams per decileter (mg dL-1).

What is the molar concentration of cholesterol in a person with this cholesterol count? (Use 386.64 g mol-1 as the molar mass of cholesterol.)
M cholesterol

Estimate the molality of the cholesterol. (Since the density will be an estimate, use 2 significant figures.)
m cholesterol

Finally, what volume of blood would contain 9.09 g of cholesterol?
L blood

Explanation / Answer

a) 206 (mg dL-1).

so in one liter, 206 * 10 = 2060 mg cholesterol = 2.06 gm cholesterol

so moles of cholesterol in 1 liter = (2.06/386.64) = 0.00532795 moles

molar concentration of cholesterol = moles of cholesterol in 1 liter = 0.00532795 M

b) density of blood taken as 1060 Kg/m^3

so, weight of 1 liter of blood = 1.06 kg

so, no.of moles of cholesterol in 1 liter = 0.00532795 moles

no.of moles of cholesterol in 1.06 kg blood = 0.00532795 moles

molality = no.of moles of cholesterol in 1kg blood

no.of moles of cholesterol in 1kg blood = (0.00532795/1.06)*1 = 0.0050264 m

c)

2060 mg of cholesterol in 1 liter of blood,

for 9.09 g of cholesterol, blood = 9.09/2.06 = 4.41262 L

Finally, what volume of blood would contain 9.09 g of cholesterol = 4.41262 L blood

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