Explanation Write the expression for entropy balance in a closed system. m ( s 2 − s 1 ) = ∫ 1 2 ( δ Q T ) + σ m ( s 2 − s 1 ) = Q T b + σ (I) Here, the mass of system is m, the specific entropy at state 2 is s 2 , the specific entropy at state 1 is s 1 , the heat transfer through the boundary of system is δ Q , the absolute temperature of system is T , the entropy generation within the system is σ , net heat interaction with surrounding is Q and the surrounding temperature is T b . Write the expression for entropy change between two states for an ideal gas. ( s 2 − s 1 ) = [ s ° ( T 2 ) − s ° ( T 1 ) − R ln ( T 2 T 1 ) ] (II) Substitute [ s ° ( T 2 ) − s ° ( T 1 ) − R ln ( T 2 T 1 ) ] for ( s 2 − s 1 ) in Equation (I). m [ s ° ( T 2 ) − s ° ( T 1 ) − R ln ( T 2 T 1 ) ] = Q T b + σ σ = m [ s ° ( T 2 ) − s ° ( T 1 ) − R ln ( T 2 T 1 ) ] − Q T b (III) Here, the entropy variable depended on temperature T 1 is s ° ( T 1 ) , the entropy variable depended on temperature T 2 is s ° ( T 2 ) , the gas constant is R , the temperature at state 1 is T 1 and the temperature at state 2 is T 2 . Write the expression for energy balance in a system. Δ U + Δ KE + Δ PE = Q − W (IV) Here, the change in internal energy is Δ U , the change in kinetic energy is Δ KE , the change in potential energy is Δ PE , heat supplied to the system is Q and the work done by system is W . Assume that the change in kinetic and potential energy of the system is negligible. Also assume that there is no work done by the rigid tank. Write the expression for change in internal energy. Δ U = − m ( u 2 − u 1 ) Here, mass is m , specific internal energy of state 1 is u 1 and the specific internal energy of state 2 is u 2 . Substitute 0 for ΔKE , 0 for ΔPE , 0 for W and − m ( u 2 − u 1 ) for Δ U in Equation (IV). m ( u 2 − u 1 ) + 0 + 0 = Q − 0 m ( u 2 − u 1 ) = Q (V) Conclusion: Refer to Table A-22E “Ideal Gas Properties of Air” to obtain values of specific internal energy u 1 as 102.34 Btu / lb at 600 ° R and specific internal energy u 2 as 136

8th Edition

ISBN: 2818440116926

Author: MORAN

Publisher: WILEY CONS

See similar textbooks

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

Videos

Question

Chapter 6.13, Problem 53P

To determine

The amount of energy transfer by heat.

The amount of entropy generated.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.13, Problem 52P

Chapter 6.13, Problem 54P

Students have asked these similar questions

A gearbox has permanent shaft positions defined by the bearing mounting positions, but the gear ratio can be changed by changing the number of teeth in the pinion and gear. To achieve similar power transmission ability for different gear ratios, a manufacturer chooses to have the same module for two different gearboxes. One of the gaerboxes has a pinion with 22 teeth, a gear with 68 teeth, and a center distance of 225mm. How large is the gear module and which gear ratios are possible for a pinion with 22 or more teeth using the same module?

A gear train has a 50.3 mm circular pitch and a 25 degree pressure angle and meshes with a pinion having 12 teeth Design this gear train to minimize its volume and the total number of teeth. Obtain the pitch diameters the number of teeth the speed ratio the center distance and the module of this gear train. The gearbox housing has a diameter of 620mm

Handwritten solution required ,strictly do not use CHATGPT. MECHANICAL ENGG

Chapter 6 Solutions

FUNDAMENTALS OF ENGINEERING THERMODYNAM

Ch. 6.13 - Prob. 1E Ch. 6.13 - Prob. 2E Ch. 6.13 - Prob. 3E Ch. 6.13 - Prob. 4E Ch. 6.13 - Prob. 5E Ch. 6.13 - 6. Is entropy produced within a system undergoing...Ch. 6.13 - 7. When a mixture of olive oil and vinegar...Ch. 6.13 - Prob. 8E Ch. 6.13 - Prob. 9E Ch. 6.13 - 10. Is Eq. 6.51a restricted to adiabatic processes...

Knowledge Booster

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.

The amount of energy transfer by heat. The amount of entropy generated.