Answer: The standard enthalpy change is -607kJ
Step-by-step explanation:
The given balanced chemical reaction is,
![3C_2H_2(g)\rightarrow C_6H_6(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/k0n4jsjahqc53xfecp9di9q1jpq15jubu3.png)
First we have to calculate the enthalpy of reaction
.
![\Delta H^o=H_f_(product)-H_f_(reactant)](https://img.qammunity.org/2021/formulas/chemistry/high-school/ttvjpu1wgyt4vgnx8lvjo3chjws6m7dhm3.png)
![\Delta H^o=[n_(C_6H_6)* \Delta H_f^0_((C_6H_6))]-[n_{C_2H_2* \Delta H_f^0_((C_2H_2))]](https://img.qammunity.org/2021/formulas/chemistry/high-school/p4qubguh0zqvfpe0s2d2gao1h6oxhn2x1v.png)
where,
We are given:
![\Delta H^o_f_((C_2H_2))=230kJ/mol\\\Delta H^o_f_((C_6H_6))=83kJ/mol](https://img.qammunity.org/2021/formulas/chemistry/high-school/ixr8fbgzwjjo69a2l288mjdrqg7fady3es.png)
Putting values in above equation, we get:
![\Delta H^o_(rxn)=[(1* 83)]-[(3* 230)]=-607kJ](https://img.qammunity.org/2021/formulas/chemistry/high-school/68np21em603d8n13ugyfcjvxq8wpi3s6qf.png)
The standard enthalpy change is -607kJ