Which has more number of atoms:100 grams of Magnesium or 100 grams of

1.	Which has more number of atoms:100 grams of Magnesium or 100 grams of Aluminium(Given: At mass of Mg=24 u, AL = 27 u)
Answer» 100 grams of magnesium: 1 mole of Mg atom = 6.022 × 10²³ atoms This means 24g of Mg has 6.022 × 10²³ atoms Then 100 g contains: Number of Mg atoms = \(\frac{Given\,mass}{Molar\,mass}\)x 6.022 x 10²³ Number of Mg atoms = \(\frac{100g}{24u}\)^x6.022 x 10²³ Number of Mg atoms = 2.5 × 10²⁴atoms 100 grams of aluminium: 1 mole of Al atom = 6.022 × 10²³ atoms This means 27g of Al has 6.022 × 10²³atoms Then 100 g contains: Number of AI atoms = \(\frac{Given\,mass}{Molar\,mass}\)x 6.022 x 10²³ Number of AI atoms = \(\frac{100g}{27u}\)^x6.022 x 10²³ Number of AI atoms = 2.2 x 10²⁴ Thus, 100g of magnesium has more atoms.

Which has more number of atoms:100 grams of Magnesium or 100 grams of Aluminium(Given: At mass of Mg=24 u, AL = 27 u)

Answer»

100 grams of magnesium:

1 mole of Mg atom = 6.022 × 10²³ atoms

This means 24g of Mg has 6.022 × 10²³ atoms

Then 100 g contains:

Number of Mg atoms = \(\frac{Given\,mass}{Molar\,mass}\)x 6.022 x 10²³

Number of Mg atoms = \(\frac{100g}{24u}\)^x6.022 x 10²³

Number of Mg atoms = 2.5 × 10²⁴atoms

100 grams of aluminium:

1 mole of Al atom = 6.022 × 10²³ atoms

This means 27g of Al has 6.022 × 10²³atoms

Then 100 g contains:

Number of AI atoms = \(\frac{Given\,mass}{Molar\,mass}\)x 6.022 x 10²³

Number of AI atoms = \(\frac{100g}{27u}\)^x6.022 x 10²³

Number of AI atoms = 2.2 x 10²⁴

Thus, 100g of magnesium has more atoms.