Respuesta :
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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
Answer: 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
Answer: 48.7 mol
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
Answer: 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
Answer: 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
[tex]\large {\boxed {\bold {mole \: = \: \frac {grams} {the \: relative \: mass \: of \: elements \: or \: the relative \: mass \: of \: molecules }}}}[/tex]
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)
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Keywords: mole, Avogadro’s number, A penny, moon, mass
