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?
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 multiply the mass of one penny by Avogadro's number, which is 6.022 × 10^23.
Mass of 1 mole of pennies = (2.50g/penny) * (6.022 × 10^23 pennies/mol)
= 1.5055 × 10^24 g/mol
≈ 1.505 × 10^24 g/mol (to the correct number of significant digits)
To find the number of moles of pennies that have a mass equal to the mass of the moon (7.35 × 10^22 kg), we need to convert the mass of the moon into grams and then divide by the mass of 1 mole of pennies.
Mass of the moon = 7.35 × 10^22 kg = 7.35 × 10^22 kg * 1000 g/kg = 7.35 × 10^25 g
Number of moles of pennies = (7.35 × 10^25 g) / (1.505 × 10^24 g/mol)
= 4.88 × 10 moles
≈ 5 × 10^23 moles (to the correct number of significant digits)
To find the mass of 1 mole of pennies, we need to know the molar mass of pennies. The molar mass is the mass of one mole of any substance and is measured in grams per mole (g/mol).
Given that a penny has a mass of 2.50 g, we can use this information to calculate the molar mass.
The number of pennies in 1 mole is determined by Avogadro's number, which is approximately 6.022 x 10^23.
To find the mass of 1 mole of pennies, we can multiply the mass of one penny by the number of pennies in 1 mole:
Mass of 1 mole of pennies = (Mass of one penny) x (Number of pennies in 1 mole)
Mass of 1 mole of pennies = 2.50 g/penny x (6.022 x 10^23 pennies/mole)
When we multiply these values, we get:
Mass of 1 mole of pennies = 2.50 g/penny x 6.022 x 10^23 pennies/mole
Using significant figures, our final answer will have the same number of significant digits as the least precise value, which is the molar mass of a penny (2.50 g/penny). Therefore, we will round our final answer to 3 significant digits:
Mass of 1 mole of pennies = 1.51 x 10^24 g/mol
Now, let's proceed to the second part of the question: How many moles of pennies have a mass equal to the mass of the moon?
The mass of the moon is given as 7.35 x 10^22 kg. To find the number of moles of pennies with a mass equal to the mass of the moon, we need to convert the mass of the moon into grams and then divide it by the molar mass of pennies.
Mass of the moon = 7.35 x 10^22 kg
1 kg = 1000 g, therefore:
Mass of the moon = 7.35 x 10^22 kg x 1000 g/kg = 7.35 x 10^25 g
Now, let's calculate the number of moles of pennies:
Number of moles of pennies = (Mass of the moon) / (Mass of 1 mole of pennies)
Number of moles of pennies = 7.35 x 10^25 g / (1.51 x 10^24 g/mol)
Finally, calculating this division:
Number of moles of pennies = 48.7 moles
Therefore, there are approximately 48.7 moles of pennies that have a mass equal to the mass of the moon.