Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
For a rigid tank with a volume of  contains air at  , . The tank is heated to   ,  . The specific heat are ,  . What is the boundary work ?_________     A.     B.     C.

For a rigid tank with a volume of  contains air at  , . The tank is heated to   ,  . The specific heat are ,  . What is the boundary work ?_________     A.     B.     C.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question

For a rigid tank with a volume of  contains air at  , . The tank is heated to   ,  . The specific heat are ,  . What is the boundary work ?_________

 

  A.

 
  B.

 
  C.

 
  D.

0
**Problem Statement:** For a rigid tank with a volume of \( V = 3 \, \text{m}^3 \), containing air at \( T_1 = 27^\circ \text{C} \) and \( P_1 = 200 \, \text{kPa} \), the tank is heated to \( T_2 = 102^\circ \text{C} \) and \( P_2 = 250 \, \text{kPa} \). The specific heat values are \( c_v = 0.718 \, \text{kJ/kg} \cdot \text{K} \) and \( c_p = 1.005 \, \text{kJ/kg} \cdot \text{K} \). What is the boundary work \( W_b \)? **Options:** - **A:** \( \frac{(P_1 + P_2)V}{2} \) - **B:** \( c_v(T_2 - T_1) \) - **C:** \( c_p(T_2 - T_1) \) - **D:** 0 **Explanation:** The problem is asking for the boundary work \( W_b \) done by the system when the air inside the rigid tank is heated. The given options offer different formulas to calculate this work based on the provided parameters. - **Option A** suggests using the average pressure multiplied by the volume for the work done. - **Option B** considers the change in internal energy using specific heat at constant volume. - **Option C** involves the change in enthalpy using specific heat at constant pressure. - **Option D** suggests that no boundary work is done. **Analysis of the Rigid Tank System:** In a rigid tank, the volume does not change during the process. Therefore, the boundary work done in such a system is typically zero, since boundary work \( W_b = P \Delta V \), and \( \Delta V = 0 \). **Conclusion:** The correct answer is **D: 0**, as no boundary work is performed in a rigid tank process.
Transcribed Image Text:**Problem Statement:** For a rigid tank with a volume of \( V = 3 \, \text{m}^3 \), containing air at \( T_1 = 27^\circ \text{C} \) and \( P_1 = 200 \, \text{kPa} \), the tank is heated to \( T_2 = 102^\circ \text{C} \) and \( P_2 = 250 \, \text{kPa} \). The specific heat values are \( c_v = 0.718 \, \text{kJ/kg} \cdot \text{K} \) and \( c_p = 1.005 \, \text{kJ/kg} \cdot \text{K} \). What is the boundary work \( W_b \)? **Options:** - **A:** \( \frac{(P_1 + P_2)V}{2} \) - **B:** \( c_v(T_2 - T_1) \) - **C:** \( c_p(T_2 - T_1) \) - **D:** 0 **Explanation:** The problem is asking for the boundary work \( W_b \) done by the system when the air inside the rigid tank is heated. The given options offer different formulas to calculate this work based on the provided parameters. - **Option A** suggests using the average pressure multiplied by the volume for the work done. - **Option B** considers the change in internal energy using specific heat at constant volume. - **Option C** involves the change in enthalpy using specific heat at constant pressure. - **Option D** suggests that no boundary work is done. **Analysis of the Rigid Tank System:** In a rigid tank, the volume does not change during the process. Therefore, the boundary work done in such a system is typically zero, since boundary work \( W_b = P \Delta V \), and \( \Delta V = 0 \). **Conclusion:** The correct answer is **D: 0**, as no boundary work is performed in a rigid tank process.
Expert Solution
Step 1

Givenrigid tankV=3m3T1=27oCP1=200kPaT2=102oCP2=250 kPaCv=0.718 kJ/kgKCp=1.005 kJ/kgK

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Compressible Flow
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS