The atmospheric pressures at the top and the bottom of a building are

Maria Huey 2021-12-20 Answered
The atmospheric pressures at the top and the bottom of a building are read b a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0kgm3, the height of the building is (a) 17 m (b) 20 m (c) 170 m (d) 204 m (e) 252 m
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Expert Answer

Jordan Mitchell
Answered 2021-12-21 Author has 31 answers
Given:
P=96kPa
Pm=98kPa
ρ=1kgm3
Solution:
We can easily show that,
P=ρagh=1×9.81×h=2×103Pah=20009.81=203.874=≈204m
h=204m

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Ronnie Schechter
Answered 2021-12-22 Author has 27 answers

Answer:
203.9 m
Step-by-step explanation:
Pressure at top of building =98kPa
Pressure at bottom of building =96kPa
difference in pressure =98.0kPa96kPa=2kPa=2,000Pa
Pressure difference=density of air x acceleration due to gravity×height
2,000Pa=1.0kg/m3×9.81m/s2×height
2,000=9.81×height
height=2,0009.81
height=203.9m

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