How many moles of Cu are in 1.48*10^25 Cu atoms?

1 Answer
Mar 30, 2018

There are "24.6 mol Cu atoms" in 1.48xx10^25 "Cu atoms".

Explanation:

One mole of atoms contains 6.022xx10^23 atoms. You may recognize this as Avogadro's number (N_"A"). Divide the given number of atoms by (6.022xx10^23"atoms")/"mol". Since (6.022xx10^23"atoms")/"mol" is a fraction, divide by multiplying by its reciprocal.

1.48xx10^25color(red)cancel(color(black)("atoms Cu"))xx(1"mol Cu")/(6.022xx10^23color(red)cancel(color(black)("atoms Cu")))="24.6 mol Cu" (rounded to three significant figures)

There are "24.6 mol Cu atoms" in 1.48xx10^25 "Cu atoms".