Question #2b5ce

1 Answer
Jan 1, 2018

Answer:

#6.0 * 10^(23)#

Explanation:

The thing to remember about an element's molar mass, which you'll find listed in the Periodic Table, is that it tells you the mass of #6.022 * 10^(23)# atoms of that element.

This is the case because the molar mass of an element represents the mass of exactly #1# mole of that element. And since Avogadro's constant tells you that

#color(blue)(ul(color(black)("1 mole" = 6.022 * 10^(23)color(white)(.)"particles")))#

you can say that the molar mass of an element tells you the mass of #6.022 * 10^(23)# atoms of that element.

Now, the Periodic Table tells you that carbon--diamond is simply an allotrope of carbon, i.e. a form that carbon can take--has a molar mass of #"12.011 g mol"^(-1)#.

https://www.zazzle.com/carbon+periodic+table+gifts

This means that #1# mole of carbon has a mass of #"12.011 g"#. In other words, #6.022 * 10^(23)# atoms of carbon, the equivalent of #1# mole of carbon, have a mass of #"12.011 g"#.

This means that #"12 g"# of carbon will contain

#12 color(red)(cancel(color(black)("g"))) * (6.022 * 10^(23)color(white)(.)"atoms of C")/(12.011color(red)(cancel(color(black)("g")))) = color(darkgreen)(ul(color(black)(6.0 * 10^(23)color(white)(.)"atoms of C")))#

The answer is rounded to two sig figs, the number of sig figs you have for the mass of carbon.