Question

3.Carbon atoms have a diameter of 1.5x10-8 cm. If carbon atoms were laid in a row 3.0 cm long, what would be the total mass of carbon?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the total mass of carbon in a row 3.0 cm long, we first need to determine how many carbon atoms would be in that row.

First, we need to calculate the number of carbon atoms that would fit in a 3.0 cm long row:

3.0 cm / (1.5x10^-8 cm/atom) = 2x10^8 atoms

Now, we need to calculate the mass of one carbon atom. The atomic mass of carbon is approximately 12.01 g/mol. This means one mole of carbon atoms has a mass of 12.01 grams.

Next, we convert the mass of one mole of carbon atoms to the mass of one carbon atom:

12.01 g/mol / 6.022x10^23 atoms/mol = 1.99x10^-23 grams/atom

Finally, we can calculate the total mass of carbon in a row 3.0 cm long:

2x10^8 atoms x 1.99x10^-23 grams/atom = 3.98x10^-15 grams

Therefore, the total mass of carbon in a row 3.0 cm long would be approximately 3.98x10^-15 grams.