Question

If 1 gram of carbon contains x atoms, what will be the number of atoms in 1 gram of magnesium?

Answer 1

Mole of carbon = gram molecular mass of carbon
1 mole of carbon = 12 grams
12g carbon = 1 mole
1g carbon $=\frac{1}{12}mole$
1g of carbon contains x atoms and $1g=\frac{1}{12}mole$
Therefore $\frac{1}{12}$ mole of carbon has x atoms.
Equal number of moles of all the elements contain equal atoms, so $\frac{1}{12}$ mole of magnesium also contains x atoms.
1 mole of magnesium = 24 g
Therefore, 24 gram = 1 mole
$1g=\frac{1}{24}mole$
$\frac{1}{12}$ mole of magnesium = x atoms
$\frac{1}{24}$ mole of magnesium $=x\times \frac{12}{24}$ (x multiplied by 12, divide by 24)
$=\frac{x}{2}$ atoms
1 gram of magnesium has $\frac{x}{2}$ atoms.