On a journey deep into the Klingon empire, the Starship Enterprise runs out of dilithium crystals, and is forced to use hydrazine, N₂H₄, as a backup fuel. Passing N₂H₄ over a catalyst causes it to decompose according to:3N₂H₄(l)ᶜᵃᵗᵃˡʸˢᵗ→4NH₃(g)+N₂(g)
What total volume of gases at 847°C and 42.8 atm are produced by the reaction of 4.6 × 10⁶ g N₂H₄?