How many molecules are there in 14.1 moles of sulfuric acid, #H_2SO_4#?

1 Answer
Jan 15, 2018

Answer:

#8.49*10^24# #"molecules"# of sulfuric acid

Explanation:

A mole is a unit of measurement that counts things. Just like a dozen always means twelve objects, a mole means #6.022*10^23# items. There happen to be #6.022*10^23# molecules in one mole.

So by recognizing that there is a conversion factor (i.e. that we can treat two equivalent statements as multiplying by #1/1#, such as #"12 inches"/"1 foot"#), we can convert moles into molecules.

I am going to set up a train conversion, where I convert from one unit to another by setting up the units to divide out, leaving me with the units I am converting into.

#"14.1 moles"/1#*#"6.022*10^23 molecules"/"1 mole"#

#"14.1"/1#*#"6.022*10^23 molecules"/"1"#

#14.1#* #6.022*10^23# #"molecules"# = #color(blue)(8.49*10^24# #color(blue)("molecules"# of sulfuric acid.