Question

Determine the pressure in ?? at the tropopause for the US Standard Atmosphere ( surface temperature ??℃ ). Assuming that the temperature is isothermal at −??℃ from the tropopause, determine the pressure at a height of ??? ??. ( ? = ??? ??−??? −? , ? = ? ∙ ?? ?? −? , ?? = ???? ??, ? = ? ∙ ?℃ ??−? ).

Answer 1

The temperature variation in the troposphere considered here as

, where z is in km
at T=-55⁰,

Now using the formula for pressure if

Here =6.5⁰C/km = 0.0065 K/m

So the pressure at 10.77 km is given by

      = 234.76 mb

Now after that height (10.77km) the temperature is constant

so from the fundamental equation of fluids at rest and ideal gas equation

at T=-55⁰C = 218.15 K and z=105 km = 105000 m

=0.000092303 mb