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

Given:
- Diameter of a carbon atom = 1.5x10^-8 cm
- Length of the row = 3.0 cm

Each carbon atom takes up a space equal to its diameter, so we can calculate the number of carbon atoms in the row by dividing the length of the row by the diameter of a carbon atom:

Number of carbon atoms = 3.0 cm / (1.5x10^-8 cm) = 2x10^8 atoms

Next, we need to calculate the mass of a single carbon atom. The atomic mass of carbon is approximately 12 g/mol.

Mass of a carbon atom = 12 g/mol

Finally, we can calculate the total mass of carbon in the row by multiplying the number of carbon atoms by the mass of a single carbon atom:

Total mass of carbon = (2x10^8 atoms) * (12 g/atom) = 2.4x10^9 grams

Therefore, the total mass of carbon in a row 3.0 cm long would be 2.4x10^9 grams.