A cylinder is filled with 5 L of gas at initial pressure of 1 atm and initial temperature of 20 °C. The cylinder is capped by a piston, which is connected to a spring as shown in the figure. The spring is initially at its relaxed length (not compressed and not stretched); its spring constant is 2000 N/m. The piston has a cross-sectional area of 0.01 m² and negligible mass. The temperature of the gas is raised to 250 °C. a) Calculate the height h that the piston will rise to after it has reached mechanical equilibrium. b) Calculate the final pressure of the gas. T- 20.0°C T- 250°C www

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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THE ANSWER SHOULD BE Answer: a) ℎ ≈ 0.169047  b) dm ≈ 135134 d

A cylinder is filled with 5 L of gas at initial pressure of 1 atm
and initial temperature of 20 °C. The cylinder is capped by a
piston, which is connected to a spring as shown in the figure. The
spring is initially at its relaxed length (not compressed and not
stretched); its spring constant is 2000 N /m. The piston has a
cross-sectional area of 0.01 m² and negligible mass. The
temperature of the gas is raised to 250 °C. a) Calculate the height
h that the piston will rise to after it has reached mechanical
equilibrium. b) Calculate the final pressure of the gas.
T= 20.0°C
T= 250°C
www.w
Transcribed Image Text:A cylinder is filled with 5 L of gas at initial pressure of 1 atm and initial temperature of 20 °C. The cylinder is capped by a piston, which is connected to a spring as shown in the figure. The spring is initially at its relaxed length (not compressed and not stretched); its spring constant is 2000 N /m. The piston has a cross-sectional area of 0.01 m² and negligible mass. The temperature of the gas is raised to 250 °C. a) Calculate the height h that the piston will rise to after it has reached mechanical equilibrium. b) Calculate the final pressure of the gas. T= 20.0°C T= 250°C www.w
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