Question

If 12 gram of carbon has gamma atoms, then the no. of atoms in 12 grams of Mg will be
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Answer 1

The no. of atoms in 12 grams of Mg will be 0.5γ or γ/2.

- Given :

No. of atoms in 12 g Carbon = γ

- But, no. of moles in 12 g Calcium = 12 / 12 = 1 mole = γ

- No. of moles in 12 g Magnesium = 12 /24 = 0.5 mole

- As γ = 1 mole

⇒ no. of atoms in 12 grams of Mg = 0.5γ = γ/2

Answer 2

The number of atoms in 12 g Mg = 0.5γ = 1/2 γ.

• Given, number of Atoms in 12 gm of Carbon = γ

• Now, let us calculate number of moles of carbon with given γ atoms.
• We know,                                                                                                                       Moles = Weight given of the element / Molecular weight of the element.
• Moles of carbon = 12 / 12 = 1
• Now, it is implied that given 1 mole of Carbon has γ atoms.
• Now, for given moles of Magnesium,    
• Moles of Magnesium = 12 / 24  = 0.5 moles.
• Given , 1 mole = γ atoms , then 0.5 moles = 0.5*γ atoms.
• Therefore, number of atoms in 12 gm = 0.5 moles of Mg = 0.5γ = γ/2