**Problem Statement:**A closed, rigid tank with a volume of \(2 \, \text{m}^3\) contains \(4.65 \, \text{kg}\) of air with initial conditions of \(300 \, \text{K}\) and \(200 \, \text{kPa}\). A paddle wheel does work on the air inside the tank, and \(45 \, \text{kJ}\) of energy escapes through the walls by heat transfer at an average temperature of \( T_b = 300 \, \text{K} \). Assuming that air in the tank is an ideal gas with a gas constant of \( R_{\text{air}} = 0.287 \, \text{kJ/kg-K} \), and that the final temperature and pressure of the air are \(430 \, \text{K}\) and \(286.9 \, \text{kPa}\):**Tasks:**a. Calculate the entropy produced in \(\text{kJ/K}\).b. Draw a \( T-s \) diagram of this process. In your sketch, include all relevant isobars, label all states clearly, and clearly show a process line with an arrow indicating direction.**Diagram Description:**- The illustration shows a closed tank with volume \(V = 2 \, \text{m}^3\). - Energy output \( Q_{\text{out}} = 45 \, \text{kJ} \) is depicted as heat transfer away from the system.- The work done by the paddle wheel is symbolized as \(W_{12} \, \text{shaft}\). - This setup is part of a thermodynamic analysis involving entropy changes and energy transfer.

Answered: Image /qna-images/answer/09f96076-6ca6-4a10-aee0-16dd4a16c609.jpg

Qout = 45 kJ %3D A closed, rigid tank whose volume is 2 m contains 4.65 kg of air with the initial conditions of 300 K and 200 kPa. A paddle wheel does work on the air inside the tank, and 45 kJ of energy escapes Air HA V = 2 m3 through the walls by heat transfer at an average temperature of T, = 300 K. Assuming that air in the tank is an ideal gas with a gas constant of Rair =0.287 kJ/kg-K, and that the final temperature and pressure of the air is 430 K and 286.9 kPa: 12 shaft a. Calculate the entropy produced in kJ/K b. Draw a T-s diagram of this process. In your sketch, include all relevant isobars, have all states clearly labelled, and clearly show a process line with an arrow indicating direction.

Qout = 45 kJ %3D A closed, rigid tank whose volume is 2 m contains 4.65 kg of air with the initial conditions of 300 K and 200 kPa. A paddle wheel does work on the air inside the tank, and 45 kJ of energy escapes Air HA V = 2 m3 through the walls by heat transfer at an average temperature of T, = 300 K. Assuming that air in the tank is an ideal gas with a gas constant of Rair =0.287 kJ/kg-K, and that the final temperature and pressure of the air is 430 K and 286.9 kPa: 12 shaft a. Calculate the entropy produced in kJ/K b. Draw a T-s diagram of this process. In your sketch, include all relevant isobars, have all states clearly labelled, and clearly show a process line with an arrow indicating direction.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Question

**Problem Statement:**

A closed, rigid tank with a volume of \(2 \, \text{m}^3\) contains \(4.65 \, \text{kg}\) of air with initial conditions of \(300 \, \text{K}\) and \(200 \, \text{kPa}\). A paddle wheel does work on the air inside the tank, and \(45 \, \text{kJ}\) of energy escapes through the walls by heat transfer at an average temperature of \( T_b = 300 \, \text{K} \). Assuming that air in the tank is an ideal gas with a gas constant of \( R_{\text{air}} = 0.287 \, \text{kJ/kg-K} \), and that the final temperature and pressure of the air are \(430 \, \text{K}\) and \(286.9 \, \text{kPa}\):

**Tasks:**

a. Calculate the entropy produced in \(\text{kJ/K}\).

b. Draw a \( T-s \) diagram of this process. In your sketch, include all relevant isobars, label all states clearly, and clearly show a process line with an arrow indicating direction.

**Diagram Description:**

- The illustration shows a closed tank with volume \(V = 2 \, \text{m}^3\).
- Energy output \( Q_{\text{out}} = 45 \, \text{kJ} \) is depicted as heat transfer away from the system.
- The work done by the paddle wheel is symbolized as \(W_{12} \, \text{shaft}\).
- This setup is part of a thermodynamic analysis involving entropy changes and energy transfer.

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