Question

2. How would you measure the height of the Christiania church in Copenhagen with a barometer? For simplicity, assume density is constant If you'd like a challenge, obtain an expression for the height in terms of pressure and temperature, under the assumption that the density of air changes with pressure, but that temperature does not change between the ground and the top of the spire.

Answer 1

let P is the pressure at ground level and P' is the pressure at top of Church.

P-P'=hdg where h is the height of church and d is constant density of air , g is acceleration due to gravity.

h=(P-P')/dg