Answered: A quantity of gas in a piston cylinder…

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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A quantity of gas in a piston cylinder has a volume of 0.371 m^3 And a pressure of 200 Pa. the piston compresses the gas to 0.177 m^3 In an isothermal ( constant tempature) process. What is the final pressure of the gas ?

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$G i v e n : v o l u m e, V_{1} = 0.371 m^{3} p r e s s u r e, P_{1} = 200 P a V o l u m e, V_{1} = 0.177 m^{3} F i n d f i n a l p r e s s u r e o f t h e g a s . N o w, I n i s o t h e r m a l p r o c e s s, (T e m p e r a t u r e i s c o n s \tan t) : P_{1} V_{1} = n R T A n d P_{2} V_{2} = n R T N o w, P_{1} V_{1} = P_{2} V_{2} P_{2} = \frac{P_{1} V_{1}}{V_{1}} = \frac{200 P a \times 0.371 m^{3}}{0.177 m^{3}} = 419.209 p a$

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