Answered: Gas is confined in a tank at a pressure…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter10: Thermal Physics

Section: Chapter Questions

Problem 31P: (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number...

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Question

Gas is confined in a tank at a pressure of 9.2 atm and a temperature of 21.5°C. If two-thirds of the gas is withdrawn and the temperature is raised to 85.0°C, what is the pressure of the gas remaining in the tank?
?atm

Expert Solution

Step 1

Given :

Initial pressure (P_i) = 9.2 atm

Initial temperature (T_i) = 21.5°C = 294.5 K

Final temperature (T_f) = 85°C = 358 K

n_f = n_i - (2n_i/3) = n_i/3

Step 2

From ideal gas equation

P_fV_f = n_fRT_f..... (1)

And

P_iV_i = n_iRT_i.......(2)

Dividing equations (1) and (2)

P_fV_f/ PiVi = n_fRT_f/ n_iRT_i

P_f = n_fT_fP_i / n_iT_i........ (3)

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