J.R. S. answered 01/08/24
Ph.D. University Professor with 10+ years Tutoring Experience
Note: Gallium(II) hydroxide is not a common compound, as the +3 oxidation state of Ga is much more common. If you meant to use gallium(III) hydroxide, please re-submit the question.
Sulfuric acid: H2SO4 (molar mass, 98.08 g/mol)
Gallium(II) hydroxide: Ga(OH)2 (molar mass, 103.7 g/mol)
Gallium(II) sulfate: GaSO4 (molar mass, 165.8 g/mol)
H2SO4 + Ga(OH)2 ==> GaSO4 + 2H2O .. balanced equation
Before one can calculate part (1), one must determine the answer to part (2) .. which is the limiting reactant? One way to determine this is to divide the moles of each reactant by the corresponding coefficient in the balanced equation. Whichever value is less will represent the limiting reagent.
For H2SO4: 145 g H2SO4 x 1 mol / 98.08 g = 1.478 moles (÷1->1.48)
For Ga(OH)2: 320 g x 1 mol / 103.7 g = 3.086 moles (÷1->3.09)
Part (2): Since 1.48 is the lesser value, this tells us that H2SO4 is the limiting reagent and we must use 1.478 moles to determine the amount of product (GaSO4) that can be formed.
Part (1): Mass of GaSO4 = 1.478 mols H2SO4 x 1 mol GaSO4 / mol H2SO4 x 165.8 g/mol = 245 g GaSO4