A 1-m3 rigid tank with air at 1 MPa and 400 K is connected | StudySoup

Textbook Solutions for Fundamentals of Thermodynamcs

Chapter 2 Problem 82HP

Question

Problem 82HP

A 1-m3 rigid tank with air at 1 MPa and 400 K is connected to an air line as shown in Fig. P2.82. The valve is opened and air flows into the tank until the pressure reaches 5 MPa, at which point the valve is closed and the temperature inside is 450 K.

a. What is the mass of air in the tank before and after the process?

b. The tank eventually cools to room temperature, 300 K. What is the pressure inside the tank then?

FIGURE P2.82

Solution

Solution 82HP

Part (a)

Step 1 of 3:

A rigid tank with initial conditions is connected to an air line. We are going to find the masses of the both initial and the final state of the tank.

The initial pressure P1 = 1 MPa = 106 Pa

The initial temperature of air T1 = 400 K

The gas constant from the table A.5 for air R = 0.287 kJ/kg.K = 287 J/kg.K

The mass of air in the tank before connecting to the air line is calculated from the ideal gas law.

Solving for m1

Putting the values

The mass of air before connecting the air line is 8.7 kg.


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Title Fundamentals of Thermodynamcs  8 
Author Claus Borgnakke, Richard E. Sonntag
ISBN 9781118131992

A 1-m3 rigid tank with air at 1 MPa and 400 K is connected

Chapter 2 textbook questions

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