The smallest sample of carbon atoms that can be observed with the naked eye has a mass of approximately.......?

Question

2 x 10-8 g. Given that 1 g = 6.02 x 1023 amu, and that carbon has an atomic weight of 12.01 amu, determine the number of carbon atoms present in the sample.

1) 1 x 1016
2) 1 x 1015
3) 1 x 1017
4) 6 x 1023

Answer 1

In this question you want to know how many carbon atoms there are in 2 x 10-8 grams of carbon. To determine the number of carbon atoms you must 1st convert the 2 x 10-8 grams of carbon to moles of carbon using the molar mass of carbon, which is based on the atomic mass of carbon (12.01 amu). If you have 1 mole of carbon you would have its atomic mass in grams. i.e. 12.01 amu of carbon is 12.01 grams/mole of carbon.

2 x10-8 g of carbon X 1 mole/12.01 grams = 1.665 x 10-9 moles of carbon

To determine the number of carbon atom there are in 1.66 x 10-9 moles of carbon you have to do another conversion using the fact that there are 6.02 x 1023 atoms in one mole.

1.66 x 10-9 moles of carbon X 6.02 x 1023 atoms / 1 mole = 1.0 X 1015 atoms of carbon

Answer 2

2) 1 x 1015 (Its 10 raised to the power 15)

Answer 3

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