To calculate the total mass of cholesterol in grams, we first need to determine how many milliliters of blood the individual has and then use the concentration of cholesterol to find the total mass.
-
Convert blood volume from liters to milliliters. \[ 6.1 , \text{L} = 6.1 \times 1000 , \text{ml} = 6100 , \text{ml} \]
-
Calculate the total cholesterol in milligrams. The individual has 244 mg of cholesterol per 100 ml of blood: \[ \text{Cholesterol in mg} = \left(\frac{244 , \text{mg}}{100 , \text{ml}}\right) \times 6100 , \text{ml} = 244 \times 61 = 14884 , \text{mg} \]
-
Convert the mass from milligrams to grams. \[ \text{Cholesterol in grams} = \frac{14884 , \text{mg}}{1000} = 14.884 , \text{grams} \]
-
Round to two significant digits. \[ 14.884 , \text{grams} \approx 15 , \text{grams} \]
Therefore, the total mass of cholesterol in the individual's body is 15 grams (to two significant digits).
5 answers