The molar heat of formation of NH4 NO3(s) is −367.5KJ and those of N2O(g) and H2O(l) are +81.46KJ and −285.78KJ respectively at 25o C and 1 atmospheric pressure. The △ U for the reaction
NH4NO3(s)→N2O(g) + 2H2O(l)
-125.03 kJ
The change in enthalpy can be given by:
△Ho=△Hof(products)−△Hof(reactants)
=[△Hof(N2O)+2×△Hof(H2O)]−[△Hof(NH4NO3)]
=81.46+2×(−285.78)−(−367.5)
△Ho=122.56KJ
We know △H=△U+△nRT
△U=△H−△nRT
△n=1,R=8.314×10−3kJmol−1K−1,T=298K
△U=−122.56−(1)(8.314×10−3)(298)
△U=−122.56−2.477
△U=−125.037kJ