Lets do step by step 1 mole of carbon = gram molecular mass of carbon = 12 grams. 1g carbon = 1/12 mole 1g of carbon contains x atoms and 1g = 1/12 mole. Therefore 1/12 mole of carbon has x atoms so 1/12 mole of magnesium also contains x atoms. 1 mole of magnesium = 24g Therefore, 24 gram = 1 mole 1g = 1/24mole. 1/12 mole of magnesium = x atoms 1/24 mole of magnesium = x x 12/24 ( x multiplied by 12, divide by 24) = x/2 atoms 1 gram of magnesium has x/2

Number of Atoms in 12 grams of Magnesium

To determine the number of atoms in 12 grams of magnesium, we need to use the concept of Avogadro's number and molar mass.

1. Avogadro's Number:
Avogadro's number, denoted as "N_A," is a fundamental constant in chemistry that represents the number of atoms or molecules in one mole of a substance. Its value is approximately 6.022 x 10^23 atoms/mol.

2. Molar Mass:
The molar mass of an element is the mass of one mole of that element. It is expressed in grams/mole. For magnesium (Mg), the molar mass is approximately 24.31 g/mol.

3. Conversion Factor:
We can use the molar mass of magnesium as a conversion factor to relate grams to moles. By doing this, we can then relate moles to the number of atoms using Avogadro's number.

Now, let's calculate the number of atoms in 12 grams of magnesium.

Step 1: Convert grams of magnesium to moles
To convert grams to moles, we need to use the molar mass of magnesium.

Given:
Mass of magnesium = 12 grams
Molar mass of magnesium = 24.31 g/mol

Using the formula:
Number of moles = Mass / Molar mass

Number of moles of magnesium = 12 g / 24.31 g/mol ≈ 0.493 mol

Step 2: Convert moles to atoms
To convert moles to atoms, we need to use Avogadro's number.

Given:
Number of moles of magnesium = 0.493 mol
Avogadro's number (N_A) = 6.022 x 10^23 atoms/mol

Using the formula:
Number of atoms = Number of moles × Avogadro's number

Number of atoms in 0.493 mol of magnesium = 0.493 mol × 6.022 x 10^23 atoms/mol ≈ 2.97 x 10^23 atoms

Therefore, the number of atoms in 12 grams of magnesium is approximately 2.97 x 10^23 atoms.

The correct answer is option 'c' (n/2).