Answer: The Enthalpy of combustion of 1 mol of butane is -2657.5 kJ/mol.
Step-by-step explanation:
![\Delta H_(f,CO_2)=-393.5 kJ/mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/qptrh25himawxhhllc19kjydibnfel6svw.png)
![\Delta H_(f,H_2O)=-241.82 kJ/mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/e6ydnp6zkyv2wtnyis04k5udt33n74ywq0.png)
![\Delta H_{f,C_4H_(10)}=-125.6 kJ/mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/xjx91f7y9l4bytssixe5c0cm9c3r4cldso.png)
![\Delta H_(f,O_2)=0 kJ/mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/tov7disijwdrv1xfx8bcjunvpohsv9stzq.png)
![2C_4H_(10)+13O_2\rightarrow 8CO_2+10H_2O](https://img.qammunity.org/2020/formulas/chemistry/high-school/72x4sc411myj1mihxd9flrcblugu9mxa7b.png)
Enthalpy of Combustion of 2 moles of butane :
![=\sum(\Delta H_f\text{of products})-\sum(\Delta H_f\text{of reactants})](https://img.qammunity.org/2020/formulas/chemistry/high-school/a3yyvr6b9xafa4wnwwooiu37frdlyboufo.png)
![\Delta H_c=(8\Delta H_(f,CO_2)+10\Delta H_(f,H_2O))-(2\Delta H_{f,C_4H_(10)}-13\Delta H_(f,O_2))](https://img.qammunity.org/2020/formulas/chemistry/high-school/ehbtbp338f0dr2jp2o53rdurc19zcxv4rb.png)
![=(8 mol* -393.5 kJ/mol+10 mol* (-241.82 kJ/mol))-(2 mol* (-125.6 kJ/mol)+13 mol* 0 kJ/mol)=-5315 kJ](https://img.qammunity.org/2020/formulas/chemistry/high-school/al8psa729rpuq9a1dfq6v6awqkfhrb33v3.png)
Enthalpy of Combustion of 1 moles of butane :
![\Delta H_c=(5315 kJ)/(2mol)=-2657.5 kJ/mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/q8vaifvxmynof8tz96tj010hystatoix16.png)
The Enthalpy of combustion of 1 mol of butane is -2657.5 kJ/mol.