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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 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:

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:

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Understanding the Lifting Power of Balloons: An Educational Guide** 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. Airships have sometimes been filled with hydrogen (H₂), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in 1937 with serious loss of life, airships have nearly always been filled with helium (He) instead. ### Table: Gas Densities | Gas | Density | |-----|----------| | H₂ | 0.090 kg/m³ | | He | 0.18 kg/m³ | | Air | 1.23 kg/m³ | ### Problem Statement Suppose a new airship **Star of Bologna** 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 80 kg. ### Task Calculate how many passengers the **Bologna** could carry if it were filled with hydrogen, and also if it were filled with helium. ### Calculation Inputs - Passengers with H₂: [❏] - Passengers with He: [❏] ### Interactive Elements The interactive elements provide two input boxes allowing users to enter their calculations for the number of passengers that can be carried when the airship is filled with hydrogen and helium respectively.
Transcribed Image Text:**Understanding the Lifting Power of Balloons: An Educational Guide** 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. Airships have sometimes been filled with hydrogen (H₂), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in 1937 with serious loss of life, airships have nearly always been filled with helium (He) instead. ### Table: Gas Densities | Gas | Density | |-----|----------| | H₂ | 0.090 kg/m³ | | He | 0.18 kg/m³ | | Air | 1.23 kg/m³ | ### Problem Statement Suppose a new airship **Star of Bologna** 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 80 kg. ### Task Calculate how many passengers the **Bologna** could carry if it were filled with hydrogen, and also if it were filled with helium. ### Calculation Inputs - Passengers with H₂: [❏] - Passengers with He: [❏] ### Interactive Elements The interactive elements provide two input boxes allowing users to enter their calculations for the number of passengers that can be carried when the airship is filled with hydrogen and helium respectively.
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