Carbon black is produced by the decomposition of methane: ch4(g) → c(s) + 2h2(g) for equilibrium at 650°c and 1 bar
(a) what is the gas-phase composition if pure methane enters the reactor, and what fraction of the methane decomposes?
(b) repeat part (a) if the feed is an equimolar mixture of methane and nitrogen.

100 grams of molten lead (600°c) is used to make musket balls. if the lead shot is allowed to cool to room temperature (21°c), what is the change in entropy (in j/k) of the lead? (for the specific heat of molten and solid lead use 1.29 j/g⋅°c; the latent heat of fusion and the melting point of lead are 2.45 × 104 j/kg and 327°c, respectively.)