# If there are 7.44 x 10(23) atoms of gold, how many moles of gold are there?

##
Reviewing for a final. Went through some old quizzes to work on stuff I got wrong, and all my teacher did be circle it, and I don't understand what I did wrong.

Reviewing for a final. Went through some old quizzes to work on stuff I got wrong, and all my teacher did be circle it, and I don't understand what I did wrong.

##### 1 Answer

Dec 16, 2017

#### Answer:

#### Explanation:

- Given then
#eta "atom "Au=7.44xx10^23# , this value can be translated to#etaAu# through molar conversion. - Knowing the mole relationship as shown below, is your equivalence statement. This is actually the Avogadro's number
#(N_A)# also known as mole; thus,

#1molAu=6.02x10^23 (N_A)"atoms "Au# - From the given equivalence statement, two (2) conversion factors can be derived.

#(1molAu)/(6.02xx10^23"atoms"Au) or (6.02xx10^23"atoms"Au)/(1molAu)# - Choose the right conversion factor making sure that the unwanted unit are cancelled leaving the desired one.

#=7.44xx10^23cancel("atoms"Au)xx(1molAu)/(6.02xx10^23cancel("atoms"Au))#

#=(7.44xx10^23molAu)/(6.02xx10^23)#

#=1.24molAu#