Calculate the number of carbon atoms present in 0.012g of C-12?

2 Answers
Feb 17, 2018

#~~6.02*10^20# atoms

Explanation:

Avogadro's number is the number of atoms present in exactly #12 \ "g"# of carbon-12, that is around #6.02*10^23#

We have: #0.012\ "g" = (12 \ "g")/1000#

So, there will be a total of

#(6.02*10^23)/1000=6.02*10^20 \ "carbon atoms in" \ "0.012g of carbon-12".#

Feb 17, 2018

see a step process below;

Explanation:

Note that the carbon is #12# which is already known in the question..

But first, recall that;

#"no of moles of carbon" = ("no of entity" ("atoms"))/"avogadros constant"#

Where;

#"no of moles of carbon" = "mass"/"molar mass"#

#"avogadros constant" = 6.022 × 10^23#, representing the number of atoms..

#"no of entity" = "number of carbon atoms present"#

First, we have to know the no of moles of carbon, and to get that, we should use;

#"no of moles of carbon" = "mass"/"molar mass"#

Where;

#"mass" = 0.012g#

#"molar mass" = 12gmol^-1#

Substituting the values we should have;

#"no of moles of carbon" = (0.012cancelg)/(12cancelgmol^-1) = 0.001mol#

Now, having;

#"no of moles of carbon" = ("no of entity" ("atoms"))/"avogadros constant"#

#"no of entity" ("atoms") = "no of moles of carbon" xx "avogadros constant"#

#"no of entity" ("atoms") = 1 xx 10^-3 xx 6.022 × 10^23#

#"no of entity" ("atoms") = 6.022 × 10^(23 - 3)#

#"no of entity" ("atoms") = 6.022 × 10^20"atoms"#

Hope this helps!