A penny has a mass of 2.50g and moon has a mass of 7.35*10 to power of 22kg

Question

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

Answer 1

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.