A penny has a mass of 2.5 g and the moon has a mass of 7.35*10^22kg. What is the mass of 1 mole of pennies? How many moles of pennies have a mass equal to the mass of the moon?
1.51x10^24 g
48.7
To find the mass of 1 mole of pennies, we need to first determine the number of pennies in 1 mole. Then we can multiply this number by the mass of a single penny.
Step 1: Find the molar mass of a penny
The molar mass is the mass of one mole of a substance.
Given that a penny has a mass of 2.5 g, we can use this value as the molar mass of a penny.
Step 2: Calculate the number of pennies in 1 mole
The Avogadro's number, 6.02214076 × 10^23, represents the number of particles in one mole of a substance.
So, to find the number of pennies in 1 mole, we divide the Avogadro's number by the molar mass of a penny:
Number of pennies in 1 mole = (Avogadro's number) / (mass of a penny)
Number of pennies in 1 mole = 6.02214076 × 10^23 / 2.5
Now, we can calculate the mass of 1 mole of pennies:
Mass of 1 mole of pennies = (Number of pennies in 1 mole) * (mass of a penny)
Step 3: Calculate the number of moles of pennies with a mass equal to the mass of the moon
To find the number of moles of pennies, we need to divide the mass of the moon by the mass of 1 mole of pennies:
Number of moles of pennies = (mass of the moon) / (mass of 1 mole of pennies)
Let's calculate these values:
Mass of 1 mole of pennies = (6.02214076 × 10^23 / 2.5) * 2.5
Number of moles of pennies = (mass of the moon) / (mass of 1 mole of pennies)
To calculate the mass of 1 mole of pennies, we need to know the molar mass of a penny. The molar mass is the mass of one mole of a substance and is usually expressed in grams per mole (g/mol).
Since a penny has a mass of 2.5 g, we can assume that 2.5 grams is the molar mass of a penny. Therefore, 1 mole of pennies would have a mass of 2.5 grams.
To find out how many moles of pennies have a mass equal to the mass of the moon, we first need to convert the mass of the moon to grams.
The moon's mass is given as 7.35x10^22 kg. However, we need to convert it to grams. We know that 1 kg is equal to 1000 grams. So, the mass of the moon in grams would be:
7.35x10^22 kg * 1000 g/kg = 7.35x10^25 g
Now, we divide the mass of the moon in grams by the molar mass of 1 penny to find the number of moles:
(7.35x10^25 g) / (2.5 g/mol) = 2.94x10^25 moles
Therefore, approximately 2.94x10^25 moles of pennies would have a mass equal to the mass of the moon.
3.4x 10^21
15