What is the mass of one mole of pennies?
The mass of one mole of pennies is 1.326 × 10^24 grams.
Calculating the Mass of One Mole of Pennies
To determine the mass of one mole of pennies, we need to find the number of pennies in one mole and then multiply that by the mass of one penny.
A mole of a substance is defined as the number of atoms, molecules, or ions present in the substance and is equal to Avogadro's number, which is 6.022 × 10^23. Since one penny weighs about 2.2 grams, we can calculate the mass of one mole of pennies as follows:
1 mole of pennies = 6.022 × 10^23 pennies
The mass of one mole of pennies = Number of pennies in one mole × Mass of one penny
= 6.022 × 10^23 × 2.2 grams
= 1.326 × 10^24 grams
Therefore, the mass of one mole of pennies is 1.326 × 10^24 grams.
Understanding Molar Mass
The mass of one mole of pennies can be calculated using the concept of molar mass. Molar mass is the mass of one mole of representative particles of a substance. For a set of objects like pennies, which are not chemically uniform like elements or compounds, we instead consider the mass of a collective number of items to determine an aggregate mass.
The mass of one mole of pennies can be calculated by multiplying the mass of one penny by Avogadro's number. Each penny has a mass of about 2.2 grams. Avogadro's number is approximately 6.022 × 10^23. Therefore, the mass of one mole of pennies is calculated as:
2.2 grams/penny × 6.022 × 10^23 pennies/mole = 1.326 × 10^24 grams/mole