Final answer:
The change in enthalpy for reaction c can be calculated by summing the enthalpy changes for reactions a and b. The values for these reactions are -838 kJ/mol of Al and -412 kJ/mol of Fe, respectively. Therefore, the change in enthalpy for reaction c is -1250 kJ.
Step-by-step explanation:
The change in enthalpy for reaction c can be calculated by using the values of enthalpy changes for reactions a and b. First, we need to find the enthalpy change for reaction a by dividing -1676 kJ by 2 (since 2 mol of Al are consumed). This gives us -838 kJ/mol of Al. Then, we need to find the enthalpy change for reaction b by dividing -824 kJ by 2 (since 2 mol of Fe are consumed). This gives us -412 kJ/mol of Fe. Finally, we can calculate the change in enthalpy for reaction c by summing the enthalpy changes for reactions a and b: -838 kJ/mol of Al + -412 kJ/mol of Fe = -1250 kJ.