Assume the atmosphere is in hydrostatic balance and isothermal at 280K. Determin

Question

Assume the atmosphere is in hydrostatic balance and isothermal at 280K. Determine the potential temperature at altitudes 5km, 10km, and 20km above the surface, assuming a surface pressure of 1000 hPa. If an air parcels moves adiabatically from 10km to 5km, what would its temperature be on arrival? Consider a planet whose atmosphere is just like that of Earth, except that it contains no moisture. The planet's troposphere is maintained by convection to be neutrally stable to vertical displacements and its stratosphere is in radiative equilibrium at -80 degree C, with the temperature being continuous across the tropopause. If surface pressure is 1000 hPa and equatorial surface temperature is 32 C, what is the pressure at the equatorial tropopause?

Explanation / Answer

d)The potential temperature of a parcel of air at pressure P is the temperature aquired by the parcel when adiabatically brought to a reference pressure(P0) usually 1000mb. It can be written in terms of T((P/P0)^R/Cp);R/Cp is a constant and is equivalent to 2/7. Since P=P0,Therefore potential temperature at surface is 280K.

Now Potential temperature remains constant under adiabatic condition (dry air) Therefore it will remain 280K at 10,20 and 5 km

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