Answer:
![\Delta H_(rxn)=-0.111 (kJ)/(mol)](https://img.qammunity.org/2022/formulas/chemistry/high-school/b166ql34qc219u24qflmio4vj0s9u051it.png)
Step-by-step explanation:
Hello!
In this case, since the total heat flow due to the reaction equals the negative of the calorimeter's heat, we can first compute the former as shown below:
![Q_(rxn)=-C\Delta T\\\\Q_(rxn)=6.38(J)/(\°C)*3.2\°C=-20.416J](https://img.qammunity.org/2022/formulas/chemistry/high-school/46qvwakq55w9n0bkapj36kter6c406kkia.png)
Now, since this total heat flow due to the reaction is defined in terms of the heat of reaction and the total reacted moles:
![Q_(rxn)=n*\Delta H_(rxn)](https://img.qammunity.org/2022/formulas/chemistry/high-school/wa9eiu3bwagr0zq3kfph2bkf1t6131pgwv.png)
Thus, we compute the moles in 8.5 g of ethanol:
![n=8.5g*(1mol)/(46.08g)=0.185mol](https://img.qammunity.org/2022/formulas/chemistry/high-school/pdrce8u5426hji30fx6gph5nb66k1xn2kd.png)
Therefore, the heat of reaction results:
![\Delta H_(rxn)=(Q_(rxn))/(n) =(-20.416J)/(0.185mol) =-110.7J/mol\\\\\Delta H_(rxn)=-0.111 (kJ)/(mol)](https://img.qammunity.org/2022/formulas/chemistry/high-school/hx4f5lh94h6cubog2b3nomgsd7kg0fqqud.png)
Best regards!