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A 1.00 carat pure diamond has a mass of 0.2 grams. How many carbon atoms are there within this diamond?

Answer 1

#1*10^22# atoms

Determine the number of moles that 0.2 grams of carbon atoms in this example correspond to.

Since you have 0.2 grams and the molar mass of carbon is 12.01 g/mol,

#0.2 color(red)cancel(color(black)(g)) / (12.01 color(red)cancel(color(black)g)/(mol)) = 0.01665... mol#

The number of atoms can be calculated using Avogadro's constant that says that 1 mole of any element contains #6.022*10^23# atoms. So the number of atoms in this example is:

#6.022*10^23 "atoms"/color(red)cancel(color(black)(mol)) * 0.01665 color(red)cancel(color(black)(mol)) = 1 *10^22 "atoms"#

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Answer 2

Victoria Angeli

There are approximately 2.69 x 10^21 carbon atoms within a 1.00 carat pure diamond.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.