Answer:
![\Delta H=-92.7kJ](https://img.qammunity.org/2022/formulas/chemistry/high-school/3if0tnzucezfpm5m9ei7amb5dxqb74gmro.png)
Step-by-step explanation:
Hello there!
In this case, according to the given information, we can infer that 890 kJ of energy are released when 1 mole of methane is burned; however, to find the total heat when 1.67 grams are burned, we first need to calculate the moles in this mass of methane:
![1.67gCH_4*(1molCH_4)/(16.04gCH_4)=0.104molCH_4](https://img.qammunity.org/2022/formulas/chemistry/high-school/i6hnmduaqmc8xib5ukfuznk5cw75ex4q64.png)
And thus, for calculating the resulting ∆H, we proceed as follows:
![\Delta H=-890kJ/mol*0.104mol\\\\\Delta H=-92.7kJ](https://img.qammunity.org/2022/formulas/chemistry/high-school/n5rksuhjosx9vsz588domhajzyd29km7tk.png)
Regards!