If you had one mole of pennies to divide among all the people in the world, how many dollars would each person receive? Use 5thousand as the population of Earth.
how do you find how many pennies are in one mole?
5 thousand million*
so is it
((6.02x10^23)/(5x10^9)) x 100?
Why the 100?
You have 10 apples. You want to divide 10 apples among 5 people. That would be 10/5 = 2 apples each.
So you have 6.02 x 10^23 pennies. You have 5 x 10^9 people. Wouldn't that be
6.02 x 10^23/5 x 10^9 = ??. A lot of pennies in a mole of pennies. :).
I figure that is slightly more than 1 x 10^14 pennies and with each one worth 0.01 cents, that makes each person receiving 1 x 10^12 dollars? I would settle for that. BUT, how long would it take you to count that many pennies. More time than you and I have on this earth.
whoops, I mean divide
((6.02x10^23)/(5x10^9)) / 100
and i got the answer 1.204E12 dollars per person.
I divided it by 100 to find the amount of dollars, so all the pennies divided by 100 = amount of dollars
To find out how many pennies are in one mole, you need to know the molar mass of a penny. The molar mass is the mass of one mole of a substance.
First, we need to determine the molar mass of a penny. The molar mass of an element or compound is calculated by adding up the atomic masses of all the atoms in it. In this case, a penny is made primarily of copper (Cu). The atomic mass of copper is approximately 63.55 grams/mole.
Now, we need to find out the mass of one penny. According to the U.S. Mint, a penny weighs approximately 2.5 grams.
Next, we can calculate the number of moles in one penny by dividing the mass of a penny by the molar mass of copper:
Number of moles = Mass of penny / Molar mass of copper
Number of moles = 2.5 grams / 63.55 grams/mole
Once you have the number of moles in one penny, you can calculate the total number of pennies in one mole:
Number of pennies in one mole = 1 mole / Number of moles in one penny
Finally, we can calculate how many dollars each person would receive if they divided one mole of pennies among the 5,000 people on Earth:
Total dollars per person = Value of one mole of pennies / Total population
Note: The value of the pennies will depend on the currency and exchange rate in use. For simplicity, we will assume that each penny is worth one cent.
To summarize:
1. Determine the molar mass of copper (Cu).
2. Find out the mass of one penny.
3. Calculate the number of moles in one penny.
4. Determine the total number of pennies in one mole.
5. Calculate the value of one mole of pennies.
6. Divide the value of one mole by the total population to find out how many dollars each person would receive.