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As dry air moves upwards, it expands and then cools at a rate of 1°C for...

As dry air moves upwards, it expands and then cools at a rate of 1°C for each 100 m rise, up to about 12 km.

a. If the ground temperature is 20°C, find an expression for the temperature T as a function of the height h. Assume a linear function.

b. Use this function to predict the temperature at 5 km up from ground level.

c. Find the derivative of the function with appropriate units. What does the derivative of the function represent?

d. Is the rate of air cooling increasing as air moves upwards (to 12 km)? Explain.

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Expert Solution

milcah answered 2 years ago
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