A diamond contains 5.0 multiply by 10 to the power 21 atoms of carbon .How many moles of carbon and how many grams of carbon are in this diamond?

1 Answer
Mar 24, 2018

Well, we know that #N_A# carbon atoms have a mass of #12.011*g#...

Explanation:

And of course ......

#N_A-="Avocado number, the number of avocadoes in one mole"#

#N_A=6.022xx10^23*mol^-1#

And so we take the product of the quotient...

#(5.0xx10^21*"carbon atoms")/(6.022xx10^23*"carbon atoms"*mol^-1)xx12.011*g*mol^-1#

#-=0.0997*g-=0.100*g#...

And note the dimensional consistency of this answer. We wanted an answer with units of mass, and the calculation gave us these units...