Apenny has a mass of 2.50g and the moon has a mass of ×7.351022kg . use this information to answer the questions below. be sure your answers have the correct number of significant digits.

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I did some research and found the questions:

What is the mass of 1 mole of pennies? How many moles of pennies have a mass equal to the mass of the moon?

Solutions:

1) mass of 1 mole of pennies

Data: mass of 1 penny = 2.50 g

1 mole = 6.022 * 10^ 23 units

Proportion:

  1 penny      6.022 * 10^23 penny
=
   2.50 g                    x

Solve: x = 6.022 * 10^23 penny * 2.50g / 1 penny = 15.055* 10^23

Since 2.50 has 3 significant figures, the answer must use 3 significant figures => x = 15.1 * 10^ 23 g = 1.51 * 10^24 g

1 mol of pennies have a mass of 1.51 * 10^24 g

2) How many moles of pennies have a mass equal to the same mass of the Moon

Convert the mass of the Moon grams: 7.35 * 10^22 kg = 7.35 * 10^ 25 g

       1 mol                            x
= 
1.51 * 10^ 24g          7.35 * 10^ 25 g

=> x = 7.35 * 10^ 25 g * 1 mol / (1.51 * 10^24 g)= 48.7 mol

48.7 mol

a. 1 mole pennies = 1.51.10²⁴ grams

b. 48.7 Moles of Pennies have a mass equal to the mass of the moon

Further explanation

A mole is a unit of many particles (atoms, molecules, ions) where 1 mole is the number of particles contained in a substance that is the same amount as many atoms in 12 gr C-12

1 mole = 6.02.10²³ particles

While the number of moles can also be obtained by dividing the mass (in grams) with molar mass

Questions to complete:

a. What is the mass of 1 mole of pennies?

b. How many moles of pennies have a mass equal to the mass of the moon?

a. For each penny has a mass of 2.5 grams, so for 1 mole of pennies it has a mass:

1-mole pennies = 6.02.10²³ pennies

mass:

6.02.10²³ pennies x 2.5 grams = 1.505.10²⁴ = 1.51.10²⁴ (round up to three significant figures)

b. 1 mole pennies has a mass of 1.505.10²⁴ grams, so for a mass equal to the moon of: 7.35.10²² kg there will be:

 1.51.10²⁴ grams = 1.51.10²¹ kg

number of mole pennies = 7.35.10²²kg: 1.51.10²¹ kg = 48.68 = 48.7 (round up to three significant figures)

Learn more

Avogadro's number

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carbon atoms in 1.50 g of butane

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a mole and Avogadro’s number

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Keywords: mole, Avogadro’s number, A penny, moon, mass

Hi. where is the graph?

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