Suppose an 80 kg (176 lb) person has 5.5 L of blood (1,060 kg/m³ ) in their body. How much of this person's total mass consists of blood? What percentage of the person's total mass is blood?

• A. 0.0519 kg
• B. 0.0583 kg
• C. 5.19 kg
• D. 5.83 kg

Answer: (D)

Verified step by step guidance

1. First, understand that the problem requires calculating the mass of blood in the person's body and then finding what percentage of the total body mass this represents.
2. To find the mass of the blood, use the formula for mass: \( \text{mass} = \text{density} \times \text{volume} \). Here, the density of blood is given as 1,060 kg/m³ and the volume is 5.5 L. Convert the volume from liters to cubic meters: 5.5 L = 0.0055 m³.
3. Substitute the values into the formula: \( \text{mass of blood} = 1,060 \text{ kg/m}^3 \times 0.0055 \text{ m}^3 \).
4. Calculate the percentage of the person's total mass that is blood by using the formula: \( \text{percentage} = \left( \frac{\text{mass of blood}}{\text{total mass}} \right) \times 100 \% \). The total mass of the person is 80 kg.
5. Substitute the mass of blood and the total mass into the percentage formula to find the percentage of the person's total mass that is blood.