An ion-channel is a transmembrane protein that can be in one of two states: OPEN (which allows ions to pass through the membrane) and CLOSED (which does not permit ions to pass through). You have an ion-channel in which the energy of the open state is 600 cal mol-1, the energy of the closed state is 1800 cal mol-1, and the temperature of the system is 300 K. (one cal per mole is equal to 4.18 J per mole, or 6.94×10^−24 J per molecule)
a) Calculate the partition function for this system.
b) What is the probability that the system will be in its open state?
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