A penny has a mass of 2.50g and moon has a mass of 7.35*10 to power of 22kg
Use this information to answer the question be sure your answer has correct number of significant digits
What is the mass of 1 mole of pennies in g?
How many moles of pennies have a mass equal to the mass of the moon
To find the mass of 1 mole of pennies, we need to calculate the mass of a single penny and then multiply it by Avogadro's number.
The mass of a single penny is given as 2.50g.
Avogadro's number is 6.022 × 10^23.
So, the mass of 1 mole of pennies can be calculated as:
Mass of 1 mole of pennies = mass of a single penny × Avogadro's number
= 2.50g × 6.022 × 10^23
= 1.5055 × 10^24 g
Therefore, the mass of 1 mole of pennies is 1.5055 × 10^24 g.
Now, let's calculate the number of moles of pennies that have a mass equal to the mass of the moon.
The mass of the moon is given as 7.35 × 10^22 kg.
To convert the mass of the moon into grams, we need to multiply it by 1000 (since 1 kg = 1000 g).
Mass of the moon in grams = 7.35 × 10^22 kg × 1000
= 7.35 × 10^25 g
Now, we can calculate the number of moles of pennies:
Number of moles of pennies = mass of the moon in grams / mass of 1 mole of pennies
= (7.35 × 10^25 g) / (1.5055 × 10^24 g)
≈ 48.813
Therefore, approximately 48.813 moles of pennies have a mass equal to the mass of the moon.
To find the mass of 1 mole of pennies in grams, we need to determine the number of pennies in a mole and then multiply it by the mass of a single penny.
1. Determine the number of pennies in a mole:
The Avogadro's number is approximately 6.022 x 10^23, which represents the number of particles (atoms, molecules, etc.) in a mole of any substance.
2. Multiply the Avogadro's number by the mass of a single penny:
Mass of 1 mole of pennies = Avogadro's number x mass of a single penny.
Let's calculate it step-by-step:
1. Determine the number of pennies in a mole:
Avogadro's number = 6.022 x 10^23 particles/mol.
2. Multiply by the mass of a single penny:
Mass of a single penny = 2.50 g.
Mass of 1 mole of pennies = (6.022 x 10^23 particles/mol) x (2.50 g/penny).
Calculating the above expression gives us the mass of 1 mole of pennies in grams.
Now, let's find out how many moles of pennies have a mass equal to the mass of the moon.
1. Determine the mass of the moon:
Mass of the moon = 7.35 x 10^22 kg.
2. Convert mass of the moon to grams:
Mass of the moon = 7.35 x 10^22 kg x (1000 g/1 kg).
This conversion gives us the mass of the moon in grams.
To find the number of moles of pennies with a mass equal to the mass of the moon, we will divide the mass of the moon by the mass of 1 mole of pennies.
Let's calculate it step-by-step:
1. Determine the mass of the moon in grams:
Mass of the moon = 7.35 x 10^22 kg x (1000 g/1 kg).
2. Divide the mass of the moon by the mass of 1 mole of pennies:
Number of moles = Mass of the moon / Mass of 1 mole of pennies.
Calculating the above expression gives us the number of moles of pennies that have a mass equal to the mass of the moon.