Question

Assume we use a pressure gauge to measure the air pressure at street level and at the roof of a tall building. If the pressure difference can be determined with an accuracy of 1 mbar (0.001 bar) what uncertainty in the height estimate does that corresponds to?

Answer 1

ρair = 1.169 kg/m3

∆P = 0.001 bar = 100 Pa

L = ∆P/ρg = 100/1.169 × 9.807

= 8.72 m