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show work please On a warm summer day, a large mass of air (atmospheric pressure

ID: 2243544 • Letter: S

Question

show work please

On a warm summer day, a large mass of air (atmospheric pressure 1.01 times 105 Pa) is heated by the ground to a temperature of 30.0degree C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70times104Pa. Assume that air is an ideal gas, with gamma = 1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1degreeC per 100 m of altitude, is called the dry adiabalic lapse rate.)

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