What is enthalpy of hydrogenation?

1 Answer
Dec 19, 2015

It's just the heat/enthalpy of reaction for a hydrogenation reaction.

One example is:

#"H"_2"C"="CH"_2 + stackrel("H"_2)(->) " H"_3"C"-"CH"_3#
#color(white)(aaaaaaaaaaaaa)^"Pd/C"#

#color(blue)(DeltaH_"rxn"^@ ~~ -"136 kJ/mol")#

You can determine this from the standard enthalpies of formation.

#\mathbf(DeltaH_"rxn"^@ = sum_P n_PDeltaH_f^@ - sum_R n_RDeltaH_f^@)#

where #R# is reactants, #P# is products, #n# is the stoichiometric coefficient, #H# is enthalpy, and #@# labels the enthalpy as the "standard" enthalpy (#T = 25^@"C"# and #P = "1 atm"#). You should be able to just look #DeltaH_f^@# up in your textbook appendix.

#DeltaH_(f, "H"_2"C"="CH"_2(g))^@ = "52.3 kJ/mol"#

#DeltaH_(f, "H"_2(g))^@ = "0 kJ/mol"#

#DeltaH_(f, "H"_3"C"-"CH"_3(g))^@ = "-83.85 kJ/mol"#

Note that the catalyst in the reaction example does not numerically contribute to the enthalpy of hydrogenation.

So, evaluating this is pretty simple:

#color(blue)(DeltaH_"rxn"^@) = (n_("H"_3"C"-"CH"_3(g))DeltaH_(f, "H"_3"C"-"CH"_3(g))^@) - (n_("H"_2"C"="CH"_2(g))DeltaH_(f, "H"_2"C"="CH"_2(g))^@ + n_("H"_2(g))DeltaH_(f, "H"_2(g))^@)#

#= (1*"-83.85 kJ/mol") - (1*"52.3 kJ/mol" + 1*"0 kJ/mol")#

#= color(blue)(-"136.15 kJ/mol")#