Question

A gymnasium is 16 m high. By what percent is the air pressure at the floor greater than the air pressure at the ceiling? Assume that pressure at the bottom is 1 atm and the density of air stays constant. The density of air is 1.29 kg/m³

Answer 1

$\Delta p=\rho g(h_2-h_1)=1.29\cdot9.81\cdot16\approx202\ (Pa)$

$h_1=101\ 325\ (Pa)$

$h_2=101\ 123\ (Pa)$

$e=100-101123\cdot100/101325=0.2\ (\%)$ . Answer