Question

The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0 kg/m^3, the height of the building is (a) 17 m (b) 20 m (c) 170 m (d) 204 m (e) 252 m e

Answer 1

Answer:

203.9 m

Step-by-step explanation:

Pressure at top of building = 98kPa

Pressure at bottom of building = 96 kPa

difference in pressure = 98.0 kPa - 96 kPa= 2 kPa = 2,000 Pa

Pressure difference = density of air x acceleration due to gravity x height

2,000 Pa = 1.0 kg/m³ x 9.81 m/s² x height

2,000 = 9.81 x height

height = 2,000 / 9.81

height = 203.9 m