Final answer:
To find the molar mass of element X in compound X3O4, we can first calculate the number of moles of oxygen atoms present in the compound. Then, using the molar ratio between oxygen and element X, we can determine the number of moles of element X. Finally, dividing the mass of element X by the number of moles gives us the molar mass of element X.
Step-by-step explanation:
To calculate the molar mass of element X, we first need to find the number of moles of oxygen present in the compound. We can use the given mass of oxygen atoms and the molar mass of oxygen to calculate this. The molar mass of oxygen is 16.00 g/mol, so the number of moles of oxygen atoms is 19.2 g / 16.00 g/mol = 1.20 mol.
Next, we can use the molar ratio between oxygen and element X to calculate the number of moles of element X. From the chemical formula X3O4, we can see that there are 4 moles of oxygen for every 3 moles of element X. Therefore, the number of moles of element X is (1.20 mol * 3 mol) / 4 mol = 0.90 mol.
Finally, to find the molar mass of element X, we can use the formula:
molar mass = mass / moles = 69.5 g / 0.90 mol = 77.22 g/mol.