Answer: The enthalpy change of the reaction is 58 kJ.
Step-by-step 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

The equation used to calculate enthalpy change is of a reaction is:
![\Delta H_(rxn)=\sum [n* \Delta H_f(product)]-\sum [n* \Delta H_f(reactant)]](https://img.qammunity.org/2020/formulas/chemistry/college/qr2q81u7h1zshv5jyx27y3fot8dv8ajdt7.png)
For the given chemical reaction:

The equation for the enthalpy change of the above reaction is:
![\Delta H_(rxn)=[(2* \Delta H_f_((HF)))+(1* \Delta H_f_((CaSO_4)))]-[(1* \Delta H_f_((CaF_2)))+(1* \Delta H_f_((H_2SO_4)))]](https://img.qammunity.org/2020/formulas/chemistry/college/gfhjrdg6i9tlrdp47ww743qsm8lozmtcuz.png)
We are given:

Putting values in above equation, we get:
![\Delta H_(rxn)=[(2* (-271))+(1* (-1434))]-[(1* (-1220))+(1* (-814))]\\\\\Delta H_(rxn)=58kJ](https://img.qammunity.org/2020/formulas/chemistry/college/t9243173ihbm1uam780pan8vdgdb2slbd1.png)
Hence, the enthalpy change of the reaction is 58 kJ.