Question

how many more atoms are there in 48g of Carbon compared to 48g of Magnesium

Answer 1

Molar Mass of Carbon = 12 g

moles in 48g = 4

atoms in 4 moles = 4 × 6.023 ×

${10}^{23}$

molar mass of Mg = 24g

Moles in 48g = 2

atoms in 2 moles = 2×6.023 ×

${10}^{23}$

difference in atoms = 2 × 6.023 × 10

${10}^{23}$

Answer 2

Answer:

The number of carbon atoms is twice the number of magnesium atoms.

Explanation:

In the case of carbon;

Given,

• The mass of the carbon = $48g$

As we know,

• The molar mass of the carbon = $12g/mol$

Now,

• The number of moles = $\frac{Given mass}{Molar mass}$ = $\frac{48}{12}$ = $4 mol$

As we know,

• 1 mole = $6.022\times 10^{23}$ atoms

Therefore,

• 4 moles = $4 \times 6.022\times 10^{23}$ atoms = $24.08 \times 10^{23}$ atoms

In the case of magnesium;

Given,

• The mass of the magnesium = $48g$

As we know,

• The molar mass of the magnesium = $24 g/mol$

Now,

• The number of moles = $\frac{Given mass}{Molar mass}$ = $\frac{48}{24}$ = $2 mol$

As we know,

• 1 mole = $6.022\times 10^{23}$ atoms

Therefore,

• 2 moles = $2\times6.022\times 10^{23}$ atoms = $12.04\times 10^{23}$ atoms

Now, after comparing the number of atoms of both carbon and magnesium, we get:

• $\frac{C-atom}{Mg- atom}$ = $\frac{24.08 \times 10^{23}}{12.04\times 10^{23}}$
• $\frac{C-atom}{Mg- atom} = \frac{2}{1}$
• $C-atom = 2 Mg-atom$

Hence, the number of carbon atoms is twice the number of magnesium atoms.