A rigid tank contains an ideal gas at 300 kPa and 600 K.

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Problem 102P Chapter 2

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 102P

A rigid tank contains an ideal gas at 300 kPa and 600 K. Half of the gas is withdrawn from the lank and the gas is at 100 kPa at the end of the process. Determine (a) the final temperature of the gas and (b) the final pressure if no mass were withdrawn from the tank and the same final temperature were reached at the end of the process.

Step-by-Step Solution:

Part (a)

Step 1:

        A rigid tank contains an ideal gas at initial pressure and half of the gas is withdrawn from the lank and the gas at the end of the process.

        Initial pressure of the ideal gas P1 = 300 kPa

        Initial temperature of the gas T1 = 600 K

        Final pressure after withdrawing half of the gas P2 = 100 kPa

Step 2:

        From ideal gas equation

        PV = mRT ----(1)

        Where

                P - Pressure

                V - volume

                m - total mass of the gas

                R - gas constant

                T - temperature

Step 3:

        To find the final temperature of the gas.        The pressure is reduced by withdrawing half of the gas. Assume that the volume remains the same. Therefore from the ideal gas equation

P1V = m1RT1 -----(2)

P2V = m2RT2 -----(3)

Since the gas is reduced to half of its previous value

m2 =  -----(4)

Step 4:

        Inserting (4) in (3) and dividing (2)

        =

        =

Step 5:

        Rearranging the above equation for T2

        T2 =

        Therefore

        T2 =

        T2 = 400 K

        The final temperature of the tank after reducing the gas is 400 K

Part (b)

Step 1:

        Initial pressure of the ideal gas P1 = 300 kPa

        Initial temperature of the gas T1 = 600 K

        Final pressure of the gas P2 = 100 kPa

Step 2:        

To find the final temperature if no mass is taken out. Therefore mass and volume remain constant. And from ideal gas equation

        =

Step 3 of 3

Chapter 2, Problem 102P is Solved
Textbook: Fluid Mechanics
Edition: 2nd
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

Since the solution to 102P from 2 chapter was answered, more than 323 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 102P from chapter: 2 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. The answer to “A rigid tank contains an ideal gas at 300 kPa and 600 K. Half of the gas is withdrawn from the lank and the gas is at 100 kPa at the end of the process. Determine (a) the final temperature of the gas and (b) the final pressure if no mass were withdrawn from the tank and the same final temperature were reached at the end of the process.” is broken down into a number of easy to follow steps, and 69 words. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2nd. This full solution covers the following key subjects: gas, final, withdrawn, were, end. This expansive textbook survival guide covers 15 chapters, and 1547 solutions.

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