Answer to Question #56044 in General Chemistry for rachel

Question

Hydrogen gas can be produced in the laboratory through the reaction of magnesium metal with hydrochloric acid:
Mg(s)+2HCl(aq)→MgCl2(aq)+H2(g)
When 41.0 g of Mg reacts, what volume, in liters, of H2 gas is produced at 23 ∘C and 850 mmHg ?
Express your answer with the appropriate units.
V=???

Answer 1

PV = nRT
V = nRT / P
Mg(s)+2HCl(aq)→MgCl₂(aq)+H₂(g)
n(H₂) = n (Mg) = m (Mg) / M (Mg) = 41.0 g / (24.0 g/mol) = 1.7 mol
R = 62360 mmHg/mol*K
T = 23 ˚C + 273 = 296 K
V(H₂) = (1.7 mol * 62360 mmHg / mol*K * 296) / 850 mm Hg = 36917.1 ml = 36.9 L