Answer:
![4BaCO_3(s)\rightarrow 4BaO(s)+4CO_2(g)\ \ \ ;\ \ \ \Delta H=2651.2kJ](https://img.qammunity.org/2021/formulas/chemistry/college/r62saaafrjl1qiv1kr1dk5ud4vbbwgmhp4.png)
Step-by-step explanation:
Hello,
In this case, in order to answer to the requirement, we first should invert the given reaction since it is the formation of barium carbonate and we need its decomposition:
![BaCO_3(s)\rightarrow BaO(s)+CO_2(g)](https://img.qammunity.org/2021/formulas/chemistry/college/gq3z9xqo48jyfqd7m13sjzc24wlboezdgr.png)
Thereby, the enthalpy of reaction is inverted, to positive since it is the contrary reaction:
![\Delta H=662.8kJ](https://img.qammunity.org/2021/formulas/chemistry/college/iomju8e1yb8z61zzwhb6cddunvj3o8rh7n.png)
Nevertheless, we need to specify it for the formation of 4 moles of carbon dioxide it means:
![4BaCO_3(s)\rightarrow 4BaO(s)+4CO_2(g)\\\Delta H=662.8kJ*4](https://img.qammunity.org/2021/formulas/chemistry/college/2xz76cmriededtsp7t2k3lrco558rqi7hq.png)
Which finally results in the following thermochemical expression:
![4BaCO_3(s)\rightarrow 4BaO(s)+4CO_2(g)\ \ \ ;\ \ \ \Delta H=2651.2kJ](https://img.qammunity.org/2021/formulas/chemistry/college/r62saaafrjl1qiv1kr1dk5ud4vbbwgmhp4.png)
Regards.