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Using the given mass ratio 4.784 g In : 1.000 g O, we first determine the mass of each indium oxide sample for both proposed formulas. - For InO: 1 In atom and 1 O atom - For In₂O₃: 2 In atoms and 3 O atoms Let's calculate the mass of both compounds: - InO mass: Since there is 1 In atom and 1 O atom in InO, the mass of In will be 4.784 grams, and the mass of O will be 1.000 grams. - In₂O₃ mass: Since there are 2 In atoms and 3 O atoms in In₂O₃, the mass of In will be 2 * 4.784 = 9.568 grams, and the mass of O will be 3 * 1.000 = 3.000 grams.

Now, let's calculate the moles of indium and oxygen in both samples. To calculate moles, we use the formula: Moles = mass / molar mass - Moles of O in InO: Moles = 1.000 g / 16.00 g/mol = 0.0625 mol - Moles of O in In₂O₃: Moles = 3.000 g / 16.00 g/mol = 0.1875 mol

To calculate the atomic mass of indium using the given mass ratio and the moles of In and O in both samples, we will use the formula: Atomic mass of In = mass of In / moles of In Since the ratio of In:O is the same in both samples, we can directly calculate moles of In: - Moles of In in InO: Moles of In = Moles of O = 0.0625 mol - Moles of In in In₂O₃: Moles of In = 0.5 * Moles of O = 0.5 * 0.1875 = 0.09375 mol Now, we can calculate the atomic mass of In using both formulas: - Atomic mass of In (InO): Atomic mass = 4.784 g / 0.0625 mol ≈ 76.54 g/mol - Atomic mass of In (In₂O₃): Atomic mass = 9.568 g / 0.09375 mol ≈ 102.05 g/mol So, the values for the atomic mass of indium using the formulas InO and In₂O₃ are approximately 76.54 g/mol and 102.05 g/mol, respectively.