The Hisactophilin protein undergoes a reversible folding/unfolding transition at pH 5.5, and T = 320 K, in which q = 215 kJ/mol of heat is absorbed by the protein as it unfolds. A) Calculate AS for this process at 320 K. If the folding/unfolding happens at constant pressure, what is AH for this process?
B) Use the Gibbs-Helmholtz equation to calculate AG at 298 K. Will the protein unfold at 298 K, why or why not?
C) Use Boltzmann's formula to estimate the ratio of microstates in the unfolded state relative to the folded state (at 320 K). (Hint: If you are working in units kJ/mol, then use Boltzmann's formula as S = RinW, where "R" is the gas constant. To use Boltzmann's constant "kg", you would have to work in "per molecule" rather than "per mole" units).
D) Now lets think about whether your answer to part c) is a crazy or reasonable number. Suppose an ideal gas expands into a vacuum, doubling it's volume. How many atoms must be in the gas to get the same increase in microstates as in part c)?
E) Assume that Hisactophilin has 1000 atoms (actually pretty close...). Also assume that its entropy increase upon unfolding completely results from a volume effect, e. g. the effective volume per atom is greater in the unfolded state. Treat the atoms of Hisactophilin as an ideal gas, and compute the relative free volume of each atom in the folded and unfolded states.

Ithink it’s 3 as the answer.

The answer to your question really depends on three things: how much water you have, how cold it is to start out, and how cold the things around it are. water actually freezes when it gets to 32 degrees fahrenheit (0 degrees celsius), but the time it takes to get there may be different.  let's start with the first. if you take two glasses, and fill one with a tiny bit of water, and the other about halfway, then put them both in the freezer, the one with less water will freeze first (you can try this at home, but i recommend using plastic cups and not glass ones).  now let's move on to the second part. let's say you have two glasses, and you fill one with really cold water that has been in the refrigerator, and the other with really hot water from the sink. if you put both of them in the freezer, the one that started out colder will freeze first.  for the third part, let's imagine that you have two glasses with the same amount of water in them, and the water is at the same temperature. imagine putting one outside on a really really cold day in georgia, and having a friend in alaska put one outside on the same day. since it would be so much colder in alaska, the glass of water there would freeze before yours.  so, if you took a tiny bit of really cold water in a glass, and put it outside on a cold day in alaska, it would freeze a lot faster than a big glass of hot water outside on a cold day in georgia.