##2KClO_text(3(s]) -> 2KCl_text((s]) + 3O_text(2(g]). DeltaH_text(rxn) = -44.7 kJ##
A thermochemical equation is simply a chemical equation that contains information about the change of reaction ##DeltaH_rxn##.
The first thing to do when writing a thermochemical equation is to make sure that you get the balnced chemical equation right.
In your case you know that 2 moles of potassium chlorate ##KClO_3## undergo to form potassium chloride ##KCl## and oxygen gas ##O_2##.
So you know that you have
##2KClO_text(3(s]) -> KCl_text((s]) + O_text(2(g])##
Balance this equation by multiplying the products by ##2## and ##3## respectively
##2KClO_text(3(s]) -> 2KCl_text((s]) + 3O_text(2(g])##
Now focus on the enthalpy change of reaction. The problem tells you that the reaction given off ##44.7 kJ## which means that the reaction is actually .
As you know energy changes are being represent from the point of view of the system. This implies that for an exothermic reaction the enthalpy change will carry a negative sign since the system is losing heat to the surroundings.
Therefore the enthalpy change of reaction will be
##DeltaH = -44. 7 kJ##
As a result the thermochemical equation for the decomposition of potassium chlorate looks like this
##2KClO_text(3(s]) -> 2KCl_text((s]) + 3O_text(2(g]). DeltaH_text(rxn) = -44.7 kJ##