c$)$ Glucagon is a $29-$amino peptide hormone of the pancreas. At $pH=106,$ it is known that glucagon can associate or trimerize, and the following standard$-$state $($ideal $1-$molal solution at $25C)$ information is available:

$Ghar{r}^k\frac{1}{3}G$

${}_{xn}G=-30\mathrm{.}6k\frac{J}{m}ol,{}_{xn}H=-131k\frac{J}{m}ol,$ and ${}_{xn}{C}_p=-1\mathrm{.}8k\frac{J}{\text{m}\text{o}\text{l}-K}.$ If the initial concentration of glucagon is $0\mathrm{.}01M($which is sufficiently low for the solution to be considered ideal$),$ what is the fraction of glucagon trimierized over the temperature range from $0$ to $50C?$