(d) An individual suffering from a high cholesterol level in her blood has 242 mg of cholesterol per 100 mL of blood. If the total blood volume of the individual is 5.2 L, how many grams of total blood cholesterol does the individual's body contain?

검증된 단계별 안내

Convert the total blood volume from liters to milliliters. Since 1 L = 1000 mL, multiply 5.2 L by 1000 to get the volume in mL.

Use the given concentration of cholesterol, which is 242 mg per 100 mL of blood, to set up a proportion to find the total mass of cholesterol in the entire blood volume.

Calculate the total mass of cholesterol in milligrams by multiplying the concentration (242 mg/100 mL) by the total blood volume in mL.

Convert the total mass of cholesterol from milligrams to grams. Since 1 g = 1000 mg, divide the total mass in mg by 1000.

The result from the previous step gives the total grams of cholesterol in the individual's body.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Concentration Units

Concentration is a measure of the amount of a substance in a given volume of solution. In this case, cholesterol concentration is given in mg per 100 mL, which indicates how many milligrams of cholesterol are present in every 100 milliliters of blood. Understanding this unit is crucial for converting the concentration to total mass in grams.

Volume Conversion

To solve the problem, it is essential to convert the total blood volume from liters to milliliters, as the concentration of cholesterol is provided in mg per 100 mL. Since 1 liter equals 1000 mL, the total blood volume of 5.2 L can be converted to 5200 mL, allowing for accurate calculations of total cholesterol.

Mass Calculation

Once the concentration and total volume are known, the total mass of cholesterol can be calculated using the formula: total mass = concentration × volume. This involves multiplying the concentration of cholesterol (in mg) by the total volume of blood (in mL) and then converting the result from milligrams to grams, as there are 1000 mg in a gram.