Question

# In 1793 the French physicist Jacques Charles took part in the first recorded human flight in...

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:

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

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