Answer: 46.5 kJ
Explanation:
The balanced chemical reaction is:
[tex]2CO_2(g)+5H_2(g)\rightarrow C_2H_2(g)+4H_2O[/tex]
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
given mass = 11.1 g
Molar mass = 44.01 g/mol
[tex]\text{Number of moles of carbon dioxide}=\frac{11.1g}{44.01g/mol}=0.252moles[/tex]
0.252 moles of carbon dioxide react with sufficient hydrogen, energy released = 5.86 kJ
2 moles of carbon dioxide react with sufficient hydrogen, energy released =[tex]\frac{5.86 kJ}{0.252}\times 2=46.5kJ[/tex]
Thus value of ΔHrxn for the chemical equation given is 46.5 kJ