Chem II Chapter 5 Hess’s Law
N2 (g) + 2O2 (g) ------> 2NO2 (g) DH1 = 68kJ The equation below…. N2 (g) + 2O2 (g) ------> 2NO2 (g) DH1 = 68kJ ….is derived from a combination of two other equations…. N2 (g) + O2 (g) ---------> 2NO(g) DH2 = 180kJ 2NO(g) + O2 (g) -------------> 2NO2 (g) DH3 =-112kJ
Notice that when the two equations are added together…. N2 (g) + O2 (g) ---------> 2NO(g) DH2 = 180kJ + 2NO(g) + O2 (g) -------------> 2NO2 (g) DH3 =-112kJ ….that the NO molecules cancel.
…after eliminating the NO’s on both sides… N2 (g) + O2 (g) ---------> DH2 = 180kJ + O2 (g) -------------> 2NO2 (g) DH3 =-112kJ --------------------------------------------------------------- ...now, add up what is leftover….. N2 (g) + O2 (g) + O2 (g) ------> 2NO2 (g) …we get the original equation N2 (g) + 2O2 (g) ------> 2NO2 (g) DH1 = 68kJ
Let’s try another equation…… W(s) + C(graphite) --------> WC(s) DH=?? kJ Using the following three equations…. 2W(s) + 3O2 (g) ------> 2WO3(s) DH= -1680.6 kJ C(graphite) + O2 (g) ------> CO2 (g) DH= - 393.5 kJ 2WC(s) + 5O2 (g) --------> 2WO3 (s) + 2CO2(g) DH= - 2391.6 kJ How can these equations be converted derive the original equation???
Dealing with the first equation… 2W(s) + 3O2 (g) ------> 2WO3(s) DH= -1680.6 kJ …..need to keep W, but find a way to eliminate the 3O2 (g)+ 2WO3(s) . Take ½ of everything, including that of DH= -1680.6 kJ. ½ [2W(s) + 3O2 (g) ------> 2WO3(s) DH= -1680.6 kJ] This leaves… W(s) + 3/2O2 (g) ------> WO3(s) DH= -840.3 kJ
Now the 2nd equation… C(graphite) + O2 (g) ------> CO2 (g) DH= - 393.5 kJ …need to keep C, but not O2 (g) and CO2 (g) No need to alter the equation. The terms O2 (g) and CO2 (g) will be eliminated later.
The 3rd equation requires a lot of work. 2WC(s) + 5O2 (g) --------> 2WO3 (s) + 2CO2(g) DH= - 2391.6 kJ 1st, WC needs to become a product and everything else eliminated. Additionally, take ½ of everything, including DH= - 2391.6 kJ. Reverse the equation…. 2WO3 (s) + 2CO2(g) ---------> 2WC(s) + 5O2 (g) DH= + 2391.6 kJ …..then, take ½ of everything…. ½ [2WO3 (s) + 2CO2(g) --------> 2WC(s) + 5O2 (g) DH= + 2391.6 kJ] This leaves… WO3 (s) + CO2(g) ---------> WC(s) + 5/2 O2 (g) DH= + 1195.8 kJ
Now, put the three equations along with their Enthalpy values. Notice all of the terms that cancel out. W(s) + 3/2O2 (g) ------> WO3(s) DH= -840.3 kJ C(graphite) + O2 (g) ------> CO2 (g) DH= - 393.5 kJ WO3 (s) + CO2(g) ---------> WC(s) + 5/2 O2 (g) DH= + 1195.8 kJ (2 ½ O2 molecules = 5/2 O2 molecules ) ----------------------------------------------------------- W(s) + C(graphite) --------> WC(s) DH= -38.0 kJ