Answer:
The enthalpy of the reaction asked is -284 kJ/mol.
Explanation:
Given:
[tex]C(s) + \frac{1}{2}O_2(g)\rightarrow CO(g), \Delta H_1 = -111 kJ/mol [/tex]..[1]
[tex]C(s) + O_2(g)\rightarrow CO_2(g) \Delta H_2 = -395 kJ/mol[/tex]...[2]
To find ; [tex]\Delta H_{rxn}[/tex] of following reaction :
[tex]CO(g) + \frac{1}{2}O_2(g)\rightarrow CO_2(g), \Delta H_{rxn} =?[/tex]..[3]
Using Hess's Law:
[2] - [1] = [3]
[tex]\Delta H_{rxn}=\Delta H_2-\Delta H_1=-395 kJ/mol-(-111 kJ/mol)=-284 kJ/mol[/tex]
The enthalpy of the reaction asked is -284 kJ/mol.