The dimensions of an auditorium are 20m x 14m x 5m. If the density of the air
present is 1.22kg/m³. Find the mass of the air in the auditorium.
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Answer:
okk
Explanation:
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(a) To obtain the volume, we multiply the length, width, and height of the room, and use the conversion 1m=3.281ft.
V=(40.0m)(20.0m)(12.0m)
=(9.60∗10
3
m
3
)(
1m
3.281ft
)
3
=3.39∗10
5
ft
3
(b) The mass of the air is
m=ρ
air
V=(1.20kg/m
3
)(9.60∗10
3
m
3
)=1.15∗10
4
kg
The student must look up the definition of weight in the index to find
F
g
=mg=(1.15∗10
4
kg)(9.80m/s)=1.13∗10
5
N
where the unit of N of force (weight) is newtons.
Converting newtons to pounds
F
g
=(1.13∗10
5
N)(
4.448N
1lb
)=2.54∗10
4
lb
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