J.R. S. answered 01/17/22
Ph.D. University Professor with 10+ years Tutoring Experience
2HI + Mg(OH)2 -> MgI2 + 2H2O ... balanced equation for the reaction taking place
molar mass Mg(OH)2 = 58.32 g / mol
moles Mg(OH)2 present = 37.45 g x 1 mol / 58.32 g = 0.6421 moles Mg(OH)2
moles HI needed = 0.6421 mols Mg(OH)2 x 2 mols HI / mol Mg(OH)2 = 1.284 mols HI needed
volume HI needed = 1.284 mols HI x 1 L / 1.25 mols = 1.027 L = 1.03 L HI needed (3 sig. figs.)