Problem 5-77

Volume of hydrogen needed to fill the balloon in liter with 20% lost:

V(H2) = 4800 m3 × 1000 L × 100  = 6.00×106 L
m3 80

The corresponding number of mole of H2 at STP is:

6.00×106 L × 1 mol H2  = 2.71×105 mol H2
22.41 L

Mass of iron split required:

2.71×105 mol H2 × 1 mol Fe × 55.85 g Fe = 1.5×107 g Fe
1 mol H2 mol Fe

Mass of H2SO4:
note: if H2SO4 is 98% purity, you need more to obtain a stoichiometric reaction (then: 100/98 = 1.02)

2.71×105 mol H2 × 1.02 mol H2SO4 × 98.08 g H2SO4 = 2.7×107 g H2SO4
1 mol H2 mol H2SO4