Question

If I has a mole of pennies and distributed them evenly to everyone jn the world (7.739 billion people), calculate the maximum amount of money each person could spend per hour for an entire tear and not run out of money.

Answer 1

Ans.

1 mole = 6.022 x 10²³ (Avogadro number)
Assume 1 Dollar = 100 pennies

Since I have 1 mole of pennies = 6.022 x 10²³ pennies = 6.022 x 10²¹ Dollars.
Now Total Number of people = 7,739 billion = 7.739 x 10⁹ people

Total Amount that each person get = ( 6.022 x 10²¹ Dollars) / ( 7.739 x 10⁹ people) = 7.78 x 10¹¹ Dollars.

Now For an entire year:
Total number of hours in a year = 24 x 365 = 8760 hours ( Assuming its not a leap year)

Maximum amount a person can spend each hour = (7.78 x 10¹¹ )/(8760) = 8.88 x 10⁷ Dollars.

Therefore the maximum amount a person can spend per hour to last for a year = 8.88 x 10⁷ Dollars. = 88.8 million Dollars.