How much money, in dollars, does one mole of dimes represent?

Question

Part A

How much money, in dollars, does one mole of dimes represent?

Express your answer using four significant figures.

Part B

If this amount of money were evenly distributed among the entire world's population (about 7.1 billion people), how much would each person get?

Express your answer using two significant figures.

Part C

Would each person be a millionaire? Billionaire? Trillionaire?

A- Each person would be a millionaire and a billionaire, but not a trillionaire.

B- Each person would be a millionaire, but not a billionaire or a trillionaire.

C- Each person would be a millionaire and a billionaire and a trillionaire.

Answer 1

1 mole of anything = 6.022x10²³ of those items. Using this value (Avogadro's number) and dimensional analysis, we can answer the question as follows:

A). 1 mol of dimes x 6.022x10²³ dimes / mole x $0.1 / dime = $6.022x10²²

B). 7.1 billion = 7.1x10⁹

$6.022x10²² / 7.1x10⁹ people = $8.5x10¹² per person

C). Each person would be a millionaire, a billionaire and a trillionaire. They'd each have 8.5 trillion dollars.