You are studying the various components of the venom of a poisonous lizard.
One of the venom components is a protein that appears to be temperature
sensitive. When heated, it denatures and is no longer toxic. The process can
be described by the following simple equation:
\\[
\mathbf{T}(\text { toxic }) \rightleftharpoons \mathrm{N} \text { (nontoxic) }
\\]
There is only enough protein from this venom to carry out two equilibrium
measurements. At \(298 \mathrm{K}\), you find that \(98 \%\) of the protein is in
its toxic form. However, when you raise the temperature to \(320 \mathrm{K},\)
you find that only \(10 \%\) of the protein is in its toxic form.
a. Calculate the equilibrium constants for the T to N conversion at these two
temperatures.
b. Use the data to determine the \(\Delta H^{\circ}, \Delta S^{\circ},\) and
\(\Delta G^{\circ}\) for this process.