In 1783, the French physicist Jacques Charles supervised and took part in the first human flight in a hydrogen balloon. Such balloons rely on the low density of hydrogen relative to air for their buoyancy. In Charles?s balloon ascent, the hydrogen was produced (together with iron(II) sulfate) from the reaction of aqueous sulfuric acid on iron filings.

(a) Write a balanced chemical equation for this reaction.

(b) What volume of hydrogen is produced at 300 K and a pressure of 1.0 atm when 300 kg sulfuric acid is consumed in this reaction?

(c) What would be the radius of a spherical balloon filled by the gas in part (b)?