Find the difference in pressure between each atmosphere

[MattH150197]

Homework Statement

There are two similar atmosphere ISA +30C and ISA tropical Maximum, they have identical:
Mean Sea level conditions, same basic shape of temperature profile and same lapse rate in troposphere. The difference is the altitude of the tropopause and hence a different temperature in the stratosphere if that temperature in the tropical maximum is -30C find the difference in pressure between the two conditions at an altitude of 16,000 m.

Homework Equations

The Attempt at a Solution

So the tropopause is at an alitutde of 11km for ISA + 30C and 11.54km for tropical maximum after which the atmosphere is isothermal. So i can do the question now with resource of an ISA chart available where i can find the appropriate density for the altitude however we don't get an ISA chart in the exam and since the density lapse rate isn't a uniform one how would i know the value of the density to use or is there another method to find the pressure?

 

[Chestermiller]

If you know the temperature profile, then you have everything you need to integrate the barotropic equation