12. The temperature in the lower part of the earth's atmosphere decreases with increasing altitude. A simple model for t

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12 The Temperature In The Lower Part Of The Earth S Atmosphere Decreases With Increasing Altitude A Simple Model For T 1 (128.57 KiB) Viewed 34 times

12. The temperature in the lower part of the earth's atmosphere decreases with increasing altitude. A simple model for this behaviour is T(y) = To - ay where y is the height above sea level, To is the temperature at sea level and the coefficient a = 0.6 K/100 m. By considering the change in pressure dp due to an increase in height dy, show that Mg Po To In In р Ra To - ay' where p and po are the air pressure at height y and at sea level respectively, M is the P molecular mass of the atmosphere, and R and g have their usual meanings. Hence estimate the air pressure at the top of Mount Everest, which is about 8000 m above sea level.