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 gas density balloon occupies the same volume as 10 kg of air, but the balloon only weighs 2 kg, then the balloon can lift 8 kg. kg H2 0.090 m 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 100. m long, with a radius of 15.0 m, and will weigh 8700. kg without 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:

Introduction to Chemical Engineering Thermodynamics
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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.

Airships have sometimes been filled with hydrogen (\(H_2\)), 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.

\[ 
\begin{array}{|c|c|}
\hline
\text{gas} & \text{density} \\
\hline
H_2 & 0.090 \, \text{kg/m}^3 \\
He & 0.18 \, \text{kg/m}^3 \\
\text{air} & 1.23 \, \text{kg/m}^3 \\
\hline
\end{array}
\]

Suppose a new airship *Star of Bologna* will have the shape of a cylinder 100. m long, with a radius of 15.0 m, and will weigh 8700. kg without any gas inside it. Suppose also the average passenger weighs 80 kg.

Calculate how many passengers the *Bologna* could carry if it were filled with hydrogen, and also if it were filled with helium.

\[ 
\begin{array}{|c|c|}
\hline
\text{Passengers with } H_2: & \text{ } \\
\hline
\text{Passengers with } He: & \text{ } \\
\hline
\end{array}
\]
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 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 (\(H_2\)), 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. \[ \begin{array}{|c|c|} \hline \text{gas} & \text{density} \\ \hline H_2 & 0.090 \, \text{kg/m}^3 \\ He & 0.18 \, \text{kg/m}^3 \\ \text{air} & 1.23 \, \text{kg/m}^3 \\ \hline \end{array} \] Suppose a new airship *Star of Bologna* will have the shape of a cylinder 100. m long, with a radius of 15.0 m, and will weigh 8700. kg without any gas inside it. Suppose also the average passenger weighs 80 kg. Calculate how many passengers the *Bologna* could carry if it were filled with hydrogen, and also if it were filled with helium. \[ \begin{array}{|c|c|} \hline \text{Passengers with } H_2: & \text{ } \\ \hline \text{Passengers with } He: & \text{ } \\ \hline \end{array} \]
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