Show transcribed image text 2. In class we discussed a multi-state protein tusing state variables. Consider a channel protein which has a stable closed state, an open state of radius Ri, and second stable open state of radius R, with R2> I Between the first and second states there is a protein mechanical energy cost cor and between the second and third states an energy cost e12. The channel can switch between these states if tension is applied a Write the free energy as a funetion of these parameters, the tension, and the state variable s e member thal yon have the freedom to add constants to the energy b) If the conduetance of the channel (ie. how much stuff /osmolytes can flow throngh the channel) is proportional to the area of the channel (which it roughly is) what is the average conduetance of this three-state protein as a functio of the applied tension? ) Considering the energy diferences between the states and their balance with tension, as tenision rises does the system always tend toward the simn state? Simitarly, what wold have to be true about the relative values of coi and rz for there to be a tange of tensios over which the middle state has au occupation probability T