How many atoms of carbon are in 24 grams of carbon?

a) \(1.2 \times 10^{24}\) atoms
b) \(1.7 \times 10^{26}\) atoms
c) \(1.2 \times 10^{25}\) atoms
d) \(3.0 \times 10^{24}\) atoms
e) \(3.0 \times 10^{23}\) atoms

Can anyone explain this one?

(3 grams of carbon) x (1 mole of carbon/12 grams ) =3/12 = 1/4 of a mole of carbon. Then... ( 1/4 of a mole) x (6.02 x 10^23 atoms/mole) = approximately 1.5 x 10^23 atoms.

Answered by Anonymous | 2024-06-10

The number of atoms of carbon in 24 grams of carbon is 1.2 x 10²⁴ atoms, making option (a) the correct answer.
To find the number of atoms in 24 grams of carbon, we need to use the concept of moles and Avogadro's number. The molar mass of carbon is 12 g/mol, which means 1 mole of carbon weighs 12 grams and contains 6.022 x 10²³ atoms (Avogadro's number).
Steps:

First, determine the number of moles in 24 grams of carbon:

Number of moles = mass / molar mass = 24 g / 12 g/mol = 2 moles

Next, convert moles to atoms using Avogadro's number:

Number of atoms = moles x Avogadro's number = 2 moles x 6.022 x 10²³ atoms/mole = 1.204 x 10²⁴ atoms
Therefore, the number of atoms of carbon in 24 grams of carbon is 1.2 x 10²⁴ atoms, making option (a) the correct answer.

Answered by qwarrow | 2024-06-24

The number of atoms of carbon in 24 grams is approximately 1.2 × 1 0 24 atoms, making option (a) the correct answer. This is calculated using the molar mass of carbon and Avogadro's number. In total, there are 2 moles of carbon in 24 grams, which results in that number of atoms.
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Answered by qwarrow | 2024-12-21