Explanation Given: A vertical cylinder with the piston, sealed at the top is provided. The diameter of the vertical cylinder = 24 cm = 0.24 m The mass of the piston is M = 20 kg The height of the cylinder up to the piston when the temperature is 303 °C, h1 = 0.84 m The initial temperature T1 = 303 °C The pressure outside the piston, P atm = 1 atm = 101325 Pa (Since 1 atm = 101325 Pa) The final temperature T2 = 15°C Formula used: Concersion of t e m p e r a t u r e f r o m C e l s i u s to Kelvin, T ( K ) = T ( o C ) + 273.15 The Pressure inside the cylinder is P = P a t m + M g A g − a c c e r l a t i o n d u e t o g r a v i t y = 9.8 m / s 2 A − a r e a o f cross-section of t h e p i s t o n Calculation: T 1 ( K ) = 303 o C +273 To determine (b) A 24 cm diameter vertical cylinder is sealed at the top by a frictionless 20 kg piston. The piston is 84 cm above the bottom when the gas temperature is 303 °C. The air above the piston is at 1.00 atm pressure. What will the height of the piston be if the temperature is lowered to 15 °C?

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Question

Chapter 18, Problem 31EAP

To determine

(a)

A 24 cm diameter vertical cylinder is sealed at the top by a frictionless 20 kg piston. The piston is 84 cm above the bottom when the gas temperature is 303 °C. The air above the piston is at 1.00 atm pressure.

What is the gas pressure inside the cylinder?

To determine

(b)

A 24 cm diameter vertical cylinder is sealed at the top by a frictionless 20 kg piston. The piston is 84 cm above the bottom when the gas temperature is 303 °C. The air above the piston is at 1.00 atm pressure.

What will the height of the piston be if the temperature is lowered to 15 °C?

Expert Solution & Answer

Chapter 18 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 18 - Prob. 1CQ Ch. 18 - Prob. 2CQ Ch. 18 - Prob. 3CQ Ch. 18 - Prob. 4CQ Ch. 18 - Prob. 5CQ Ch. 18 - Prob. 6CQ Ch. 18 - Prob. 7CQ Ch. 18 - Prob. 8CQ Ch. 18 - Prob. 9CQ Ch. 18 - A gas undergoes the process shown in FIGURE...

Ch. 18 - Prob. 11CQ Ch. 18 - Prob. 12CQ Ch. 18 - Prob. 1EAP Ch. 18 - Prob. 2EAP Ch. 18 - What is the diameter of a copper sphere that has...Ch. 18 - Prob. 4EAP Ch. 18 - Prob. 5EAP Ch. 18 - How many atoms are in a 2.0 cm × 2.0 cm × 2.0 cm...Ch. 18 - Prob. 7EAP Ch. 18 - An element in its solid phase has mass density...Ch. 18 - .0 mol of gold is shaped into a sphere. What is...Ch. 18 - What volume of aluminum has the same number of...Ch. 18 - Prob. 11EAP Ch. 18 - Prob. 12EAP Ch. 18 - Prob. 13EAP Ch. 18 - A concrete bridge is built of 325-cm-long concrete...Ch. 18 - A surveyor has a steel measuring tape that is...Ch. 18 - Two students each build a piece of scientific...Ch. 18 - Prob. 17EAP Ch. 18 - 18. What is the temperature in °F and the...Ch. 18 - Prob. 19EAP Ch. 18 - .0 mol of gas at a temperature of -120°C fills a...Ch. 18 - Prob. 21EAP Ch. 18 - Prob. 22EAP Ch. 18 - Prob. 23EAP Ch. 18 - Prob. 24EAP Ch. 18 - Prob. 25EAP Ch. 18 - Prob. 26EAP Ch. 18 - Prob. 27EAP Ch. 18 - Prob. 28EAP Ch. 18 - A rigid, hollow sphere is submerged in boiling...Ch. 18 - 30. A rigid container holds hydrogen gas at a...Ch. 18 - Prob. 31EAP Ch. 18 - Prob. 32EAP Ch. 18 - Prob. 33EAP Ch. 18 - Prob. 34EAP Ch. 18 - Prob. 35EAP Ch. 18 - Prob. 36EAP Ch. 18 - Prob. 37EAP Ch. 18 - .0050 mol of gas undergoes the process 1 2 3...Ch. 18 - Prob. 39EAP Ch. 18 - Prob. 40EAP Ch. 18 - Prob. 41EAP Ch. 18 - Prob. 42EAP Ch. 18 - Prob. 43EAP Ch. 18 - A 15°C, 2.0-cm-diameter aluminum bar just barely...Ch. 18 - Prob. 45EAP Ch. 18 - Prob. 46EAP Ch. 18 - Prob. 47EAP Ch. 18 - Prob. 48EAP Ch. 18 - Prob. 49EAP Ch. 18 - The 3.0-m-long pipe in FIGURE P18.50 is closed at...Ch. 18 - Prob. 51EAP Ch. 18 - An electric generating plant boils water to...Ch. 18 - Prob. 53EAP Ch. 18 - The air temperature and pressure in a laboratory...Ch. 18 - Prob. 55EAP Ch. 18 - The mercury manometer shown in FIGURE P18.56 is...Ch. 18 - Prob. 57EAP Ch. 18 - The 50 kg circular piston shown in FIGURE P18.58...Ch. 18 - Prob. 59EAP Ch. 18 - .0 g of helium gas follows the process 1? 2 ?3...Ch. 18 - Prob. 61EAP Ch. 18 - 62. FIGURE P18.62 shows two different processes...Ch. 18 - Prob. 63EAP Ch. 18 - Prob. 64EAP Ch. 18 - Prob. 65EAP Ch. 18 - Prob. 66EAP Ch. 18 - Prob. 67EAP Ch. 18 - Prob. 68EAP Ch. 18 - Prob. 69EAP Ch. 18 - Prob. 70EAP Ch. 18 - Prob. 71EAP Ch. 18 - The cylinder in FIGURE CP18.72 has a moveable...Ch. 18 - Containers A and B in FIGURE CP18.73 hold the same...Ch. 18 - Prob. 74EAP

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