Analysis of Mg Alloy with 24% Mg
Understanding the Composition:
- The Mg alloy contains 24% Mg, which means that out of 100 parts of the alloy, 24 parts are Mg.
Calculating the Amount of Mg in 1 gram of Alloy:
- If the Mg alloy contains 24% Mg, then in 1 gram of alloy, the amount of Mg present would be 24% of 1 gram.
- 24% of 1 gram is 0.24 grams of Mg.
Converting Grams to Moles:
- To find the number of atoms of Mg present in 0.24 grams of Mg, we need to convert grams to moles. The molar mass of Mg is 24.305 g/mol.
- Number of moles of Mg = Mass of Mg / Molar mass of Mg
- Number of moles of Mg = 0.24 g / 24.305 g/mol ≈ 0.00988 moles
Calculating the Number of Atoms:
- Avogadro's number tells us that 1 mole of any substance contains 6.022 x 10^23 atoms.
- Number of atoms of Mg = Number of moles of Mg x Avogadro's number
- Number of atoms of Mg = 0.00988 moles x 6.022 x 10^23 atoms/mol ≈ 5.95 x 10^21 atoms
Therefore, there are approximately 5.95 x 10^21 atoms of Mg present in 1 gram of the Mg alloy containing 24% Mg.