Hexane can equilibrate to methyl-substituted pentanes and methylcyclopentane according to:
k1: hexane + methylcyclopentane ⇌ 2-methylpentane + hydrogen
k-1: hexane + 2-methylpentane ⇌ methylcyclopentane
Component n-hexane methylcyclopentane 2-methylpentane hydrogen
G600 K (kcal/mol) 43.02 45.76 42.39 0
H600 K (kcal/mol) -46.10 -31.69 -47.63 0
In the above equations, H600 K and G600 K represent the heats of formation and the Gibbs free energy of formation of the compounds at 600 K from the elements, respectively.
Find the temperature at which equal amounts of methylcyclopentane and 2-methylpentane form if pure hexane is allowed to equilibrate at 1 atm total pressure. Also, find the composition of the mixture at this temperature. At this condition, the hydrocarbons are gases.