Problem Set 8 Solutions

118. Determine the equilibrium constant and extent of reaction for the dissociation of hydrogen gas at 3000 Kand 1 atm,H 2 (g) 2 H (g) .The standard molar Gibbs free energies of formation,kJ/mol, respectively.ΔG f! , of H2 and H at 3000 K are 0 and 46.01The equilibrium constant can be expressed in terms of the extent of reaction,€The equilibrium constant isH 2 (g) 2 H (g) .moles init. 1 0moles equil. 1−ξ 2ξx i1−ξ1+ξ2ξ1+ξ€K eq =or K eq =2" P H%$# P ! '&" P H %$ 2# P ! '&2" x H P %$# P ! '&." x H 2P %$# P ! '&Writing the equilibrium constant in terms of the extent of reaction yields€K eq ==K eq =2" x H P %$# P ! '&" x H 2P %$# P ! '&2" 2ξ % " P %$ ' $# 1+ξ & # P ! '&" 1−ξ %$# 1+ξ &' " P %$# P ! '&24ξ 2 " P %( 1−ξ 2 $#) P ! ' .&€