Answer: The standard enthalpy change of the given reaction is -98.86 kJ/mol
Explanation:
Enthalpy change is defined as the difference in enthalpies of all the product and the reactants each multiplied with their respective number of moles. It is represented as [tex]\Delta H^o[/tex]
The equation used to calculate enthalpy change is of a reaction is:
[tex]\Delta H^o_{rxn}=\sum [n\times \Delta H^o_f_{(product)}]-\sum [n\times \Delta H^o_f_{(reactant)}][/tex]
For the given chemical reaction:
[tex]SO_2(g)+\frac{1}{2}O_2(g)\rightarrow SO_3(g)[/tex]
The equation for the enthalpy change of the above reaction is:
[tex]\Delta H^o_{rxn}=[(1\times \Delta H^o_f_{(SO_3(g))})]-[(1\times \Delta H^o_f_{(SO_2(g))})+(\frac{1}{2}\times \Delta H^o_f_{(O_2(g))})][/tex]
We are given:
[tex]\Delta H^o_f_{(SO_3(g))}=-395.7kJ/mol\\\Delta H^o_f_{(O_2(g))}=0kJ/mol\\\Delta H^o_f_{(SO_2(g))}=-296.84kJ/mol[/tex]
Putting values in above equation, we get:
[tex]\Delta H^o_{rxn}=[(1\times -395.7)]-[(1\times (-296.84))+(\frac{1}{2}\times 0)]\\\\\Delta H^o_{rxn}=-98.86kJ/mol[/tex]
Hence, the standard enthalpy change of the given reaction is -98.86 kJ/mol