#6 a). Suppose the temperature of the atmosphere has the dependence T=T(0)e^(−z/z(0)). Find an expression for the pressure p(z).
b). Suppose the atmosphere has its temperature equal to 300 K and pressure 1000 hPa at z = 0. The temperature profile falls linearly with a lapse rate of 6 K km−1 up to 10 km. Above 10 km the temperature is constant. What is the pressure as a function of z?
c). Use the results of a) to compute the potential temperature as a function of height z.
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