We need to find the molar quantity of benzene, and thus we simply perform the operation:
"Mass"/"Molar mass of benzene"MassMolar mass of benzene to give an answer in moles, ==
(2.24*cancelg)/(6xx12.011*cancelg*mol^-1+6xx1.00794*cancelg*mol^-1)
=0.0287*mol.
Note that this is dimensionally consistent, because, 1/("mol"^-1)=1/(1/"mol")="mol"
So there are 0.0287*mol of benzene "molecules".
And since 1*mol-="Avogadro's number of molecules" = 6.022xx10^23*mol^-1
And =0.0287*mol*"benzene molecules"xx6.022xx10^23*mol^-1="How many benzene molecules?"
And "how many atoms?", =0.0287*molxx12*"atoms"*mol^-1xx6.022xx10^23*mol^-1="How many atoms?"
Why did I need to multiply the molar quantity by "12 atoms?"