If one mole of the compound Al 4 C 3 has a mass of 144 g and one mole of carbon has a mass of 12 g,
calculate the relative atomic mass of the element aluminium.
any one helppp please..
To calculate the relative atomic mass of aluminium (Al), we need to know the ratios of its isotopes and their corresponding masses.
However, in this case, we are given the mass of one mole of the compound Al4C3, which contains four atoms of aluminium and three atoms of carbon.
Let's break down the information provided:
- The mass of one mole of Al4C3 compound is given as 144 g.
- The mass of one mole of carbon is given as 12 g.
To find the mass of aluminium, we subtract the mass of carbon from the total mass of the compound:
Mass of aluminium = Mass of Al4C3 - Mass of Carbon
Since we are given that the mass of one mole of carbon is 12 g, we can substitute:
Mass of aluminium = 144 g - 12 g
Calculating further:
Mass of aluminium = 132 g
Now, we need to find the number of moles of aluminium. Since one mole of Al4C3 contains four atoms of aluminium, the number of moles of aluminium is equal to the number of moles of Al4C3 compound:
Number of moles of aluminium = Number of moles of Al4C3
Since the mass of one mole of Al4C3 is given as 144 g, dividing the mass of aluminium by the molar mass of Al4C3 gives us the moles of aluminium:
Number of moles of aluminium = Mass of aluminium / Mass of Al4C3
Number of moles of aluminium = 132 g / 144 g
Calculating further:
Number of moles of aluminium = 0.9167 moles
Now, to find the relative atomic mass of aluminium, we divide the mass of aluminium by the number of moles of aluminium:
Relative atomic mass of aluminium (Ar) = Mass of aluminium / Number of moles of aluminium
Relative atomic mass of aluminium (Ar) = 132 g / 0.9167 moles
Calculating further:
Relative atomic mass of aluminium (Ar) = 144 g/mol
Therefore, the relative atomic mass of aluminium is 144 g/mol.