What is the mass, in kilograms, of an Avogadro's number of people, if the average mass of a person is 160 lb?

Verified step by step guidance

1. Convert the average mass of a person from pounds to kilograms using the conversion factor: 1 lb = 0.453592 kg.
2. Calculate the mass of one person in kilograms by multiplying 160 lb by the conversion factor.
3. Use Avogadro's number, which is approximately 6.022 \times 10^{23}, to determine the number of people.
4. Multiply the mass of one person in kilograms by Avogadro's number to find the total mass of an Avogadro's number of people.
5. Express the final result in kilograms.

Key Concepts

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of particles, typically atoms or molecules, in one mole of a substance. This concept is fundamental in chemistry for converting between the number of particles and the amount of substance in moles, allowing for calculations involving large quantities of matter.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it involves converting the mass of a person from pounds to kilograms, which is essential for ensuring that all measurements are in compatible units for accurate calculations.

Mass Calculation

Mass calculation involves determining the total mass of a given quantity of matter. In this context, it requires multiplying the average mass of a person by Avogadro's number to find the total mass of that many people, illustrating how to apply basic arithmetic operations in a chemistry context.