Randall D. Knight — Work, Heat, and the First Law of Thermodynamics: Problem 66

When strong winds rapidly carry air down from mountains to a lower elevation, the air has no time to exchange heat with its surroundings. The air is compressed as the pressure rises, and its temperature can increase dramatically. These warm winds are called Chinook winds in the Rocky Mountains and Santa Ana winds in California. Suppose the air temperature high in the mountains behind Los Angeles is \(0^\circ\text{C}\) at an elevation where the air pressure is \(60\text{ kPa}\). What will the air temperature be, in \(^\circ\text{C}\) and \(^\circ\text{F}\), when the Santa Ana winds have carried this air down to an elevation near sea level where the air pressure is \(100\text{ kPa}\)?