Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as 10 kg of air, but the balloon only weighs 2 kg, then the balloon can lift 8 kg. gas density kg 0.090 3 m H, kg 0.18 3 m Airships have sometimes been filled with hydrogen (H,), but hydrogen is very flammable, and Не after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly always been filled with helium (He) instead. kg 1.23 3 m air Suppose a new airship Star of Balogna will have the shape of a cylinder 75. m long, with a radius of 5.0 m, and will weigh 950. kg Wwithout any gas inside it. Suppose also the average passenger weighs 80 kg. Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium. Passengers with H,: ? Passengers with He:

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Chapter5: Gases
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Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the
difference between the mass of the balloon and the mass of the air it displaces. That is, if the
balloon occuples the same volume as 10 kg of air, but the balloon only weighs 2 kg, then the
balloon can lift 8 kg.
gas
density
kg
0.090
3
m
H,
Airships have sometimes been filled with hydrogen (H,), but hydrogen is very flammable, and
kg
0.18
3
Не
after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly
do
kg
1.23
3
m
always been filled with helium (He) instead.
air
Ar
Suppose a new airship Star of Balogna will have the shape of a cylinder 75. m
long, with a radius of 5.0 m, and will weigh 950. kg without any gas inside it.
Suppose also the average passenger weighs s0 kg.
Calculate how many passengers the Balogna could carry if it were filled with
hydrogen, and also if it were filled with helium.
Passengers with H,:
?
Passengers with He:
Transcribed Image Text:Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occuples the same volume as 10 kg of air, but the balloon only weighs 2 kg, then the balloon can lift 8 kg. gas density kg 0.090 3 m H, Airships have sometimes been filled with hydrogen (H,), but hydrogen is very flammable, and kg 0.18 3 Не after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly do kg 1.23 3 m always been filled with helium (He) instead. air Ar Suppose a new airship Star of Balogna will have the shape of a cylinder 75. m long, with a radius of 5.0 m, and will weigh 950. kg without any gas inside it. Suppose also the average passenger weighs s0 kg. Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium. Passengers with H,: ? Passengers with He:
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