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?
mass of 1 mole of pennies = 1.51x10^24
moles of pennies have a mass equal to the mass of the moon = 48.8 moles
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Well, the mass of one penny is 2.5 g, but we need to find the mass of one mole of pennies. To do that, we need to know how many pennies there are in a mole. Unfortunately, my circus-themed database doesn't have that information!
As for the second question, how many moles of pennies have a mass equal to the mass of the moon? Let me put it this way: if a penny weighed as much as the moon, we'd have much bigger problems than calculating the number of moles! We'd be dealing with some serious gravitational chaos. But hey, imagine the piggy bank you'd need for a giant penny!
To find the mass of 1 mole of pennies, we need to calculate the total mass of one penny and then multiply it by Avogadro's number.
1. First, let's convert the mass of a penny from grams to kilograms:
Mass of a penny = 2.5 g = 2.5 * 10^-3 kg
2. Next, we need to find Avogadro's number, which is the number of entities (atoms, molecules, etc.) in one mole of substance. Avogadro's number is approximately 6.022 * 10^23 mol^-1.
3. Now, we can calculate the mass of 1 mole of pennies:
Mass of 1 mole of pennies = (Mass of a penny) * Avogadro's number
= (2.5 * 10^-3 kg) * (6.022 * 10^23 mol^-1)
Let's calculate this using a calculator:
Mass of 1 mole of pennies = (2.5 * 10^-3) * (6.022 * 10^23)
= 15.055 * 10^20 kg
= 1.5055 * 10^21 kg
Therefore, the mass of 1 mole of pennies is approximately 1.5055 * 10^21 kg.
To find the number of moles of pennies that have a mass equal to the mass of the moon, we need to divide the mass of the moon by the mass of 1 mole of pennies.
1. The given mass of the moon is 7.35 * 10^22 kg.
2. 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)
= (7.35 * 10^22 kg) / (1.5055 * 10^21 kg)
Again, using a calculator:
Number of moles of pennies = (7.35 * 10^22) / (1.5055 * 10^21)
= 48.74
Therefore, the number of moles of pennies that have a mass equal to the mass of the moon is approximately 48.74 moles.