Given that: (i) _ f H ^ of N ₂ O is 82 ~kJ ~mol ⁻¹ (ii) Bond energies of N N , N = N , O = O and N = O are 946,418,498 and 607 ~kJ ~mol ⁻¹ respectively, The resonance energy of N ₂ O is :

Step-by-step solution

N ₂( ~g )+ 1 2 O ₂ N ₂ O ( g ) aligned H _ f ^ o = & [ Energy required for breaking of bonds ] & -[ Energy released for forming of bonds ] = & ( H _ N N + 1 2 H _ O = O - ( H _ N = N + H _ N = O ) . = & (946+ 1 2 498 )-(418+607)=170 ~kJ ~mol ⁻¹ & Resonance energy =170-82=88 ~kJ ~mol ⁻¹ aligned