- #1
Anoonumos
- 16
- 0
Homework Statement
For a solar tower compare the total force on the air column in the tower
(i) by calculating the pressure at its bottom and top
(ii) from Archimedes’ Law.
Hint: there is a temperature
difference between top and bottom of the tower.
I have to estimate height, temperature difference and such.
The Attempt at a Solution
According to Archimedes' law the force is just
F = g * A * h * (ρ2 - ρ1)
with g = 9.81 N/kg, A the area of the tower, h the height of the tower and (ρ2 - ρ1) the difference in air density between top and bottom. (ρ2 - ρ1) can be calculated with the temperature difference.
I don't know how I should calculate the pressure directly. I can only think of using the ideal gas law, but I'm not sure how that would work in this situation.
Any suggestions? Thanks.