Explanation:
To determine the amount of Ga2O3 decomposed when 46.1 grams of O2 is released, we first need to establish a balanced chemical equation for the decomposition of Ga2O3 to determine the stoichiometry between Ga2O3 and O2.
Given that O2 is released during the decomposition, the balanced chemical equation for the decomposition of Ga2O3 can be represented as:
2 Ga2O3 -> 4 Ga + 3 O2
From the balanced equation, we see that for every 2 moles of Ga2O3 decomposed, 3 moles of O2 are released.
Next, we calculate the molar mass of O2:
O2: 2(16.00 g/mol) = 32.00 g/mol
Given that 46.1 grams of O2 is released, we convert this mass to moles using the molar mass of O2:
46.1 g / 32.00 g/mol = 1.44 mol
Since 3 moles of O2 are released for every 2 moles of Ga2O3 decomposed, we use the mole ratio to determine the moles of Ga2O3 decomposed:
1.44 mol O2 x (2 mol Ga2O3 / 3 mol O2) = 0.96 mol Ga2O3
Finally, we convert the moles of Ga2O3 to grams using the molar mass of Ga2O3:
2(69.72 g/mol) + 3(16.00 g/mol) = 219.44 g/mol
0.96 mol Ga2O3 x 219.44 g/mol = 210.59 grams of Ga2O3 are decomposed when 46.1 grams of O2 is released.
To determine the grams of Ga2O3 decomposed when 46.1 grams of O2 is released, we need to consider the balanced chemical equation for the decomposition of Ga2O3 into Ga and O2. The balanced chemical equation for the decomposition of Ga2O3 is: 2 Ga2O3 → 4 Ga + 3 O2 From the equation, we can see that for every 2 moles of Ga2O3 decomposed, 3 moles of O2 are released.
1. Calculate the molar mass of O2: The molar mass of O2 is 32 g/mol (16 g/mol for each oxygen atom).
2. Determine the number of moles of O2 released: 46.1 grams of O2 / 32 g/mol = 1.44 moles of O2
3. Use the mole ratio from the balanced equation: For every 2 moles of Ga2O3 decomposed, 3 moles of O2 are released.
4. Calculate the moles of Ga2O3 decomposed: 1.44 moles of O2 * (2 moles Ga2O3 / 3 moles O2) = 0.96 moles of Ga2O3
5. Calculate the mass of Ga2O3 decomposed: 0.96 moles of Ga2O3 * molar mass of Ga2O3 = grams of Ga2O3 decomposed
By following these steps, you can determine the grams of Ga2O3 decomposed when 46.1 grams of O2 is released based on the balanced chemical equation and stoichiometry.
