Equilibrium change for temperature will depend on the type of reaction.
There are two types of reactions:
1. Endothermic reaction : It is a chemical reaction which absorb energy in the form of heat or light. Heat is on reactant side.
[tex] Reactants + Heat \rightarrow Products[/tex]
2. Exothermic reaction : It is a chemical reaction which releases energy in the form of heat or light. Heat is on product side.
[tex] Reactants \rightarrow Products + Heat[/tex]
Our given reaction : [tex] SO_{2}(g) + NO_{2}(g)\leftrightarrow NO(g) + SO_{3}(g) + Heat [/tex] is exothermic reaction because it releases heat and heat is present on product side.
According to Le Chatelier's principle , the reaction will proceed in such a way as to counteract the temperature change.
Reason : If we increase the temperature , that means we are adding heat to the system and in our given reaction heat is present on right side, so increase in temperature will increase the heat on right side which will disturb the equilibrium and to counteract the temperature change and to re-establish the equilibrium again , the reaction will proceed to left side (Reactant side)(Reverse reaction is favored).
Note : The exothermic reaction will favor the reverse reaction , opposite the side of heat. And endothermic reaction will favor the forward reaction with increase in temperature.