Question

In 1793 the French physicist Jacques Charles took part in the first recorded human flight in a Hydrogen balloon. The Hydrogen was produced by reacting iron filings with sulfuric acid to yield hydrogen gas and Iron(II) sulfate. What volume (in L) of Hydrogen gas at 22.0 °C and 756 mm Hg will be formed from the reaction of 500.0 gallons of 12.0 M sulfuric acid according to the following equation:

Answer 1

reaction is

Fe + H2SO4 ----> FeSO4 + H2

1 mole 1mole 1mole 1 mole

Given

T = 22 C = 295 K

P = 756 mmHg = 0.995 atm

Given

reaction mixture volume = 500 gallons = 500 * 3.7854 L = 1892.7 L

Molarity of sulfuric acid = 12 M (mol/L)

No. of moles of sulfuric acid = Molarity * volume of reaction mixture = 12 mol/L * 1892.7 L =22712.4 moles

For every mole of sullfuric acid reacted one mole of H2 is formed

so no. of moles of H2 formed n = 22712.4 moles

R = 0.08206 L.atm/mol.K

PV = nRT

0.995 atm * V = 22712.4 mol * 0.08206 L.atm/mol.K * 295 K

V = 552577.855 L Answer