Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question

Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an indeal gas, and the other part is evacuated. The partition is then removed, and the gas expands into the entire tank. At the initial state, the mass of the gas is m= 4.00kg, initial pressure is p1 = 600.00 kPa, initial temperature is T1 = 300.00 K. The gas constant is R = 0.2870 kJ/(kg·K). (The internal energy can be determined by the equation ΔU=m·cv·(T2-T1), where c=  0.7180 kJ/(kg·K) is the specific heat at the constant volume.) 

Calculate the volume of the tank. Vtotal__________ (m3)

 

In the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an ideal gas, while the other part is evacuated. The partition is then removed, allowing the gas to expand into the entire tank.

Initial Conditions (State 1):
- Pressure (\(P_1\)): 600.00 kPa
- Temperature (\(T_1\)): 300.00 K
- Volume (\(V_1\)): \(V\)
- Mass (\(m\)): 4.00 kg

Gas Properties:
- Gas constant (\(R\)): 0.2870 kJ/(kg·K)

Final Conditions (State 2):
- Temperature (\(T_2\)): ?
- Pressure (\(P_2\)): ?
- Volume (\(V_2\)): \(2V_1\)

Energy Calculation:
The internal energy change (\(\Delta U\)) can be determined using the equation:
\[
\Delta U = m \cdot c_V \cdot (T_2 - T_1)
\]

where \(c_V = 0.7180\) kJ/(kg·K) is the specific heat at constant volume.

Task:
Calculate the total volume of the tank (\(V_{\text{total}}\)) in m³. 

The figure consists of two diagrams depicting the system's states:
- **State 1**: Represents the initial condition where one side of the tank contains the ideal gas and the other is evacuated.
- **State 2**: Shows the gas occupying the entire tank after the partition is removed, indicating that the volume is doubled.
expand button
Transcribed Image Text:In the figure, an insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains an ideal gas, while the other part is evacuated. The partition is then removed, allowing the gas to expand into the entire tank. Initial Conditions (State 1): - Pressure (\(P_1\)): 600.00 kPa - Temperature (\(T_1\)): 300.00 K - Volume (\(V_1\)): \(V\) - Mass (\(m\)): 4.00 kg Gas Properties: - Gas constant (\(R\)): 0.2870 kJ/(kg·K) Final Conditions (State 2): - Temperature (\(T_2\)): ? - Pressure (\(P_2\)): ? - Volume (\(V_2\)): \(2V_1\) Energy Calculation: The internal energy change (\(\Delta U\)) can be determined using the equation: \[ \Delta U = m \cdot c_V \cdot (T_2 - T_1) \] where \(c_V = 0.7180\) kJ/(kg·K) is the specific heat at constant volume. Task: Calculate the total volume of the tank (\(V_{\text{total}}\)) in m³. The figure consists of two diagrams depicting the system's states: - **State 1**: Represents the initial condition where one side of the tank contains the ideal gas and the other is evacuated. - **State 2**: Shows the gas occupying the entire tank after the partition is removed, indicating that the volume is doubled.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY