The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A = 2.50 × 103 m². The initial pressure, volume, and temperature of the gas are, respectively, Po, Vo = 6.00 × 10-4 m³ and To = 273 K, and the spring is initially stretched by an amount x0 = 0.087 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, V+ and Tf and the spring is stretched by an amount Xf = 0.11 m with respect to its unstrained length. What is the final temperature of the gas? Tf Piston

Principles of Physics: A Calculus-Based Text
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Chapter16: Temperature And The Kinetic Theory Of Gases
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The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a
vacuum. The cross-sectional area of the piston is A = 2.50 × 103 m². The initial pressure, volume, and temperature of the gas are,
respectively, Po, Vo = 6.00 × 10-4 m³ and To = 273 K, and the spring is initially stretched by an amount x0 = 0.087 m with respect to its
unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, V+ and Tf and the spring is stretched by
an amount Xf = 0.11 m with respect to its unstrained length. What is the final temperature of the gas?
Tf
Piston
Transcribed Image Text:The drawing shows an ideal gas confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A = 2.50 × 103 m². The initial pressure, volume, and temperature of the gas are, respectively, Po, Vo = 6.00 × 10-4 m³ and To = 273 K, and the spring is initially stretched by an amount x0 = 0.087 m with respect to its unstrained length. The gas is heated, so that its final pressure, volume, and temperature are Pf, V+ and Tf and the spring is stretched by an amount Xf = 0.11 m with respect to its unstrained length. What is the final temperature of the gas? Tf Piston
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