Problem 1: You come into lab one day and find a well-insulated 2000 mL thermos bottle containing 500 mL of boiling liquid nitrogen. The remainder of the thermos has nitrogen gas at a pressure of 1.0 atm. The gas and liquid are in thermal equilibrium. While waiting for lab to start, you notice a piece of iron on the table with "167 g" written on it. Just for fun, you drop the iron into the thermos and seal the cap tightly so that no gas can escape.
a) After a few seconds have passed, what is the pressure inside the thermos? The density of liquid nitrogen is 810 kg/m3. (Hint: Consider the possibility of phase changes.)
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