Chemical reactions to depict Le Chatelier's Principle (Temperature)

[angela107]

TL;DR Summary

I've been tasked to research the temperature component of Le Chatelier’s Principle. I need to include at least one chemical reaction (ideally supporting my discussion). I decided to talk about endothermic and exothermic reactions.

If an endothermic reaction has a lower temperature, since the forward reaction rate decreases more, the reaction should produce more energy to compensate for the decreased energy and raise the rate of the forward reaction until it reaches equilibrium with the reverse reaction. Is this saying that overall the rates of both forward and reverse reaction decrease and K will shift left compared to the original K?

 

[Chestermiller]

The Van't Hoff equation for the temperature dependence of the equilibrium constant is given by:
$$\frac{d\ln{K}}{dT}=\frac{\Delta H}{RT^2}$$where $\Delta H$ is the standard heat of reaction at temperature T.