99.93kJ
Given the chemical reaction expressed as:
[tex]N_2+O_2\rightarrow2NO\text{ }\triangle H=200kJ[/tex]From the reaction, 1 mole of nitrogen absorbs 200kJ of heat.
Determine the mole of nitrogen
[tex]\begin{gathered} mole\text{ of N}_2=\frac{mass}{molar\text{ mass}} \\ mole\text{ of N}_2=\frac{14g}{28.02g\text{/mol}} \\ mole\text{ of N}_2=0.4996moles \end{gathered}[/tex]The amount of energy 0.4496moles of N2 will absorb is given as:
[tex]\begin{gathered} energy\text{ absorbed by }N_2=0.4496\times200 \\ energy\text{ absorbed by }N_2=99.93kJ \end{gathered}[/tex]Hence the amount of heat that will be absorbed when 14 grams of Nitrogen reacts with excess O2 is 99.93kJ