Help me correct this erroneous thinking: It is known that pressure affects boili

Question

Help me correct this erroneous thinking: It is known that pressure affects boiling point. Suppose we boil 1 kg of water in Pittsburgh assume normal atmospheric pressure). The phase change is from liquid to gas and it takes 2.256x10A6 J to achieve this. Then, we are instantaneously transported to Denver were the pressure is lower, so our water boils at 95 degrees instead of 100 degrees. Since the energy to boil the 1kg of water is the same to condense it, this implies that takes less energy in Denver to condense the water that was boiled in Pittsburgh. We have not changed the volume of the container carrying the steam. Only the pressure has changed. What happened to the energy? Conservation of energy must hold.

Explanation / Answer

Although Surrounding Pressure is decreased and therefore Boiling Point decreases, but Since the process is instantaneous and spontaneous , balance Energy ( Energy required for boiling at 1 Atm. Pressure - Energy released for condensation at less Atm Pressure) will go as non usable Energy during spontaneous expansion of steam, to equate the Pressure of container to Atmospheric Pressure

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