Final answer:
To find the mass of Mg in 4.500g of MgO, divide the mass of MgO by its molar mass to calculate the moles of MgO. Then, use the mass percent of Mg in MgO to calculate the mass of Mg.
Step-by-step explanation:
To find the mass of Mg in 4.500g of MgO, we first need to calculate the moles of MgO. To do this, we divide the mass of MgO by its molar mass. The molar mass of MgO is the sum of the molar masses of Mg (24.3g/mol) and O (16g/mol), which is 40.3g/mol.
So, moles of MgO = mass of MgO / molar mass of MgO = 4.500g / 40.3g/mol = 0.111mol.
Since the mass percent of Mg in MgO is 60.30%, we can calculate the mass of Mg using the moles of MgO and the ratio of the mass percent. The mass percent of Mg in MgO is the mass of Mg divided by the mass of MgO, multiplied by 100%.
Mass percent of Mg = (mass of Mg / mass of MgO) * 100% = (mass of Mg / 4.500g) * 100% = 60.30%.
Solving for the mass of Mg, we find: mass of Mg = (60.30% * 4.500g) / 100% = 2.718g.