Air Pressure Difference in a 13m High Gymnasium

[jason_r]

A gymnasium is 13.0 m high.

By what percent is the air pressure at the floor greater than the air pressure at the ceiling?

 

[jason_r]

so far i have

P(bottom)=(1.013 x 10^5) + (1.28)(9.8)(13)
P(bottom)=101463.072
P(top)=101300.000

P(bottom)/P(top)=0.161%
is that correct?

 

[alphysicist]

Hi jason_r,

so far i have

P(bottom)=(1.013 x 10^5) + (1.28)(9.8)(13)
P(bottom)=101463.072
P(top)=101300.000

P(bottom)/P(top)=0.161%
is that correct?

That looks right to me (as long as your air density is correct).