Heat required : 1.523 kJ
Further explanation
Reaction
N₂+2O₂⇒2NO₂ AH = 67.7 kJ
mol of N₂:(use Pv=nRT)
![\tt n=(3.32* 0.304)/(0.082* 373)=0.033](https://img.qammunity.org/2021/formulas/chemistry/college/hdf3mgl68jrxpvjhjmtkoroqrmdaf1hjk8.png)
mol of O₂:
![\tt n=(3.32* 0.41)/(0.082* 373)=0.045](https://img.qammunity.org/2021/formulas/chemistry/college/89g7l78qwbw20lkpaylmkp3w22rteecupv.png)
Limiting reactant :
N₂ : O₂
![\tt (0.033)/(1)/ (0.045)/(2)=0.033:0.0225](https://img.qammunity.org/2021/formulas/chemistry/college/qjcxlaq87gd46pcbg00pas66fmx1gajnmh.png)
Limiting reactant : O₂(smaller ratio)
mol NO₂ = mol O₂ = 0.045
2 mol ⇒ 67.7 kJ, so for 0.045 mol, heat required :
![\tt (0.045)/(2)* 67.7=1.523~kJ](https://img.qammunity.org/2021/formulas/chemistry/college/i5qe1tk7aomv8bfsdd8lrm6g0pik3psw9q.png)