Chapter 3, Problem 10P

Suppose a reaction has $\Delta$ H^o and $\Delta$ S^o values independent of temperature (i.e., assume these values are constant over some range of temperature). Show from this, and the equations given in this chapter, that $\text{ln}\text{K}\text{=}\frac{{\text{-ΔH}}^{\text{o}}}{\text{RT}}\text{+}\frac{{\text{ΔS}}^{\text{o}}}{\text{R}}$ where K is the equilibrium constant. How could you use values of K determined at different temperatures to determine ${\text{ΔH}}^{\text{o}}$ for the reaction? (Hint. Recall that you are treating ${\text{ΔH}}^{\text{o}}$ and ${\text{ΔS}}^{\text{o}}$ as constants.)