An open cylinder of air has a radius of 39.0 cm and a height of 50.0 cm, as shown in figure (a). Ah 50.0 cm h. a The air pressure is 1.00 atm and the temperature is 17.5°C. A 15.0 kg piston is then lowered onto the cylinder, forming an airtight seal, as shown in figure (b). The air inside is compressed until the piston reaches equilibrium (mechanical and thermal), and at this point the piston is a height h, from the bottom of the cylinder. Lastly, a 27.5 kg dog steps onto the piston, and the air in the cylinder again compresses, as show in figure (c). After reaching equilibrium, the air inside is again at 17.5°C, and the height of the piston decreases a distance Ah as shown. (a) What is the distance Ah (in mm) that the piston moves when the dog is on it? mm (b) To what temperature (in °C) should the gas be warmed to raise the piston and the dog back to h,? °C

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 74P: A cylinder that has a 40.0-cm radius and is 50.0 cm deep is filled with air at 20.0C and 1.00 atm...
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An open cylinder of air has a radius of 39.0 cm and a height of 50.0 cm, as shown in figure (a).
Ah
50.0 сm
h;
The air pressure is 1.00 atm and the temperature is 17.5°C. A 15.0 kg piston is then lowered onto the cylinder, forming an airtight seal, as shown in figure (b). Th
air inside is compressed until the piston reaches equilibrium (mechanical and thermal), and at this point the piston is a height h, from the bottom of the cylinder.
Lastly, a 27.5 kg dog steps onto the piston, and the air in the cylinder again compresses, as show in figure (c). After reaching equilibrium, the air inside is again at
17.5°C, and the height of the piston decreases a distance Ah as shown.
(a) What is the distance Ah (in mm) that the piston moves when the dog is on it?
mm
(b) To what temperature (in °C) should the gas be warmed to raise the piston and the dog back to h,?
°C
Transcribed Image Text:An open cylinder of air has a radius of 39.0 cm and a height of 50.0 cm, as shown in figure (a). Ah 50.0 сm h; The air pressure is 1.00 atm and the temperature is 17.5°C. A 15.0 kg piston is then lowered onto the cylinder, forming an airtight seal, as shown in figure (b). Th air inside is compressed until the piston reaches equilibrium (mechanical and thermal), and at this point the piston is a height h, from the bottom of the cylinder. Lastly, a 27.5 kg dog steps onto the piston, and the air in the cylinder again compresses, as show in figure (c). After reaching equilibrium, the air inside is again at 17.5°C, and the height of the piston decreases a distance Ah as shown. (a) What is the distance Ah (in mm) that the piston moves when the dog is on it? mm (b) To what temperature (in °C) should the gas be warmed to raise the piston and the dog back to h,? °C
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