Question

As a gold miner you are paid per mole Au you collect . How much would you make if you collect 2.6×10^25 atoms of gold?

I need help, my teacher us really bad at explaining the formula

Answer 1

According to Avogadro's number,

6.022 x 10²³ gold atoms = 1 mole of gold

Given, number of gold atoms = 2.6×10²⁵

We need to convert 2.6×10²⁵ gold atoms to moles of gold

2.6×10²⁵ gold atoms  x ( 1 mole of gold / 6.022 x 10²³ gold atoms)

= 41.5 moles of gold

If you are paid $1 for every mole of gold you collect

Then you will be paid $41.5 for 41.5 moles of gold that you have collected.