If Avogadro's number of pennies is divided equally among the 321 million men, women, and children in the United States, how many dollars would each receive?

Verified step by step guidance

1. Identify Avogadro's number, which is approximately $6.022 \times 10^{23}$.
2. Determine the total number of pennies by using Avogadro's number: $6.022 \times 10^{23}$ pennies.
3. Convert the total number of pennies to dollars, knowing that 100 pennies make 1 dollar.
4. Divide the total number of dollars by the population of the United States, which is 321 million people.
5. Express the result as the number of dollars each person would receive.

Key Concepts

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of atoms, molecules, or particles in one mole of a substance. It serves as a bridge between the macroscopic scale of substances we can measure and the microscopic scale of atoms and molecules. In this question, it represents an enormous quantity of pennies, illustrating the concept of mole in chemistry.

Division and Distribution

The concept of division involves splitting a total quantity into equal parts. In this scenario, it requires calculating how many pennies each individual would receive if Avogadro's number of pennies is distributed among the population of the United States. This basic arithmetic operation is essential for determining the amount each person would get.

Currency Conversion

Currency conversion refers to the process of changing one form of currency into another, in this case, converting pennies into dollars. Since there are 100 pennies in a dollar, understanding this conversion is crucial for accurately determining how many dollars each person would receive from the total number of pennies.