What mass of magnesium, Mg, contains the same number of atoms as 12g of Carbon, C
Could you please show the method too
Thanx :)
The same number of moles contain the same number of particles, in this case atoms.
12 g of C will contain 1 mole of atoms as the molar mass of carbon is 12 g mole^-1 to 2 sig figs.
So a molar mass of magnesium will contain the same number of atoms. You need to look up the molar mass of Mg.
To find the mass of magnesium that contains the same number of atoms as 12g of carbon, we need to use the concept of molar mass and Avogadro's number.
1. Calculate the molar mass of carbon (C):
The molar mass of carbon is 12.01 g/mol. This means that one mole of carbon atoms weighs 12.01 grams.
2. Determine the number of moles of carbon:
We have 12 grams of carbon, so we divide the given mass by the molar mass:
Number of moles of carbon = Mass of carbon (g) / Molar mass of carbon (g/mol)
Number of moles of carbon = 12 g / 12.01 g/mol ≈ 0.999 mole
3. Use Avogadro's number to find the number of atoms:
Avogadro's number (6.022 × 10^23) tells us the number of atoms in one mole of any substance.
Number of atoms of carbon = Number of moles of carbon × Avogadro's number
Number of atoms of carbon = 0.999 mole × 6.022 × 10^23 atoms/mole ≈ 6.017 × 10^23 atoms
4. Find the molar mass of magnesium (Mg):
The molar mass of magnesium is 24.31 g/mol.
5. Determine the mass of magnesium with the same number of atoms as 12g of carbon:
To find the mass of magnesium, we need to calculate the number of moles of magnesium with the same number of atoms as 12g of carbon and then multiply it by the molar mass of magnesium.
Number of moles of magnesium = Number of atoms of carbon / Avogadro's number
Number of moles of magnesium = 6.017 × 10^23 atoms / 6.022 × 10^23 atoms/mole ≈ 0.999 mole
Mass of magnesium = Number of moles of magnesium × Molar mass of magnesium
Mass of magnesium = 0.999 mole × 24.31 g/mol ≈ 24.29 grams
Therefore, the mass of magnesium containing the same number of atoms as 12g of carbon is approximately 24.29 grams.
carbon=12/12
magnesium=12/24