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Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is initially closed as shown in the figure. One vessel of volume 16.8 L contains oxygen at a temperature of 300 K and a pressure of 1.75 atm. The other vessel of volume 22.4 L contains oxygen at a temperature of 450 K and a pressure of 2.25 atm. When the valve is opened, the gases in the two vessels mix and the temperature and - 168L pressure become uniform throughout. Calculate the - s00 K final temperature and pressure of the system. Hint: The pistons are locked in place; so the volume of each vessel does not change. The final volume of the system is: V, = V, + V2. Since no gas molecules escape, the final number of molecules is: ng = n, + nz. Since the system is insulated, any heat that leaves one vessel must enter the other vessel: Q1 + Q2 = 0. Pistons locked in place Valve P-1.75 atm P-2.25 atm V- 224L T-450 K

Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is initially closed as shown in the figure. One vessel of volume 16.8 L contains oxygen at a temperature of 300 K and a pressure of 1.75 atm. The other vessel of volume 22.4 L contains oxygen at a temperature of 450 K and a pressure of 2.25 atm. When the valve is opened, the gases in the two vessels mix and the temperature and - 168L pressure become uniform throughout. Calculate the - s00 K final temperature and pressure of the system. Hint: The pistons are locked in place; so the volume of each vessel does not change. The final volume of the system is: V, = V, + V2. Since no gas molecules escape, the final number of molecules is: ng = n, + nz. Since the system is insulated, any heat that leaves one vessel must enter the other vessel: Q1 + Q2 = 0. Pistons locked in place Valve P-1.75 atm P-2.25 atm V- 224L T-450 K

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Answer: Tf = 380 K , Pf ≈ 206269 PA ≈ 2.036 atm

Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is initially closed as shown in the figure. One vessel of volume 16.8 L contains oxygen at a temperature of 300 K and a pressure of 1.75 atm. The other vessel of volume 22.4 L contains oxygen at a temperature of 450 K and a pressure of 2.25 atm. When the valve is opened, the gases in the two vessels mix and the temperature and pressure become uniform throughout. Calculate the final temperature and pressure of the system. Hint: The pistons are locked in place; so the volume of each vessel does not change. The final volume of the system is: V, = V, + V2. Since no gas molecules escape, the final number of molecules is: nf = n1 + n2. Since the system is insulated, any heat that leaves one vessel must enter the other vessel: Q1 + Q2 = 0. Pistons locked in place Valve P= 1.75 atm V- 16.8L T= 300 K P= 2.25 atm V- 22.4 L T = 450 K
Transcribed Image Text:Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is initially closed as shown in the figure. One vessel of volume 16.8 L contains oxygen at a temperature of 300 K and a pressure of 1.75 atm. The other vessel of volume 22.4 L contains oxygen at a temperature of 450 K and a pressure of 2.25 atm. When the valve is opened, the gases in the two vessels mix and the temperature and pressure become uniform throughout. Calculate the final temperature and pressure of the system. Hint: The pistons are locked in place; so the volume of each vessel does not change. The final volume of the system is: V, = V, + V2. Since no gas molecules escape, the final number of molecules is: nf = n1 + n2. Since the system is insulated, any heat that leaves one vessel must enter the other vessel: Q1 + Q2 = 0. Pistons locked in place Valve P= 1.75 atm V- 16.8L T= 300 K P= 2.25 atm V- 22.4 L T = 450 K
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