A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air at 29.5°C and 1.00 atm shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 29.5°C as shown in figure (c). What is the value Ah?
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
![Directions: Solve the following problems. Use g = 9.80 m/s? and assume all
numbers are accurate to 3 significant figures unless otherwise indicated.
1. A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air
at 29.5°C and 1.00 atm shown in figure (a). A 21.0-kg piston is now lowered
into the cylinder, compressing the air trapped inside as it takes equilibrium
height hi as shown in figure (b). Finally, a 21.5-kg dog stands on the piston,
further compressing the air, which remains at 29.5°C as shown in figure (c).
What is the value Ah?
Ah
50.0 cm
h;](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9b53ebc-804c-49f3-b917-c4e1c4975b52%2Fdb98c662-59d5-4467-a553-12f51361eea7%2Fh3hplx9_processed.png&w=3840&q=75)
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