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Systems with a positive temperature will increase in entropy as one adds energy to the system, while systems with a negative temperature will decrease in entropy as one adds energy to the system. Do negative temperature systems violate the 2nd Law of Thermodynamics?
When you are thinking of negative temperatures, you are most likely referring to a negative Celsius. However, when we look at temperature we must convert to Kelvin, and there can never truly be a negative temperature when referring to the temperature in Kelvin as 0 degrees K is the lowest possible temperature. So although a problem may take place at -100 degrees C, in Kelvin this problem takes place at 173 degrees Kelvin.
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