Explanation Write the expression for the energy balance equation. Δ K E + Δ P E + Δ U = Q − W (I) Here, the change in kinetic energy of the system is Δ K E , the change in potential energy is Δ P E , internal energy is Δ U , the work done is W and the heat transfer is Q . Substitute 0 for Δ K E , 0 for Δ P E ,and 0 for Q in Equation (I). Δ U = − W (II) Write the expression for the internal energy of the system. Δ U = Δ U r e s + Δ U c + Δ U W . (III) Here, the in internal energy of copper is Δ U c , the internal energy of water is Δ U W , and the internal energy of the reservoir Δ U r e s . Substitute Δ U r e s + Δ U c + Δ U W for Δ U in Equation (II). Δ U r e s + Δ U c + Δ U W = − W (IV) Substitute 0 for Δ U r e s in Equation (IV). Δ U c + Δ U W = − W (V) Write the expression for the internal energy of the copper. Δ U c = m c c c ( T f − T c i ) (VI) Here the mass of the copper is m c , the specific heat of the copper c c , the final equilibrium temperature is T f , and the temperature of the copper is T c i . Write the expression for the internal energy of the water. Δ U w = m w c w ( T f − T w i ) (VII) Here, the mass of the water is m w , the specific heat of the water is c w , the final equilibrium temperature is T f , and the temperature of the water is T w i . Substitute m c c c ( T f − T c i ) for Δ U c and m w c w ( T f − T w i ) for Δ U w in Equation (IV). m c c c ( T f − T c i ) + m w c w ( T f − T w i ) = − W T f = m c c c T c i + m w c w T w i − W m c c c + m w c w (VIII) Conclusion: Refer to table A-19 “The properties of selected solids and liquids: c p , ρ and k ” to obtain the specific heat of copper and water at 325 K as 0

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

See similar textbooks

Concept explainers

Forms of Energy

Energy is described as the capability to accomplish a task, like the ability to push a block by applying force on it. It is a quantitative property that is used to accomplish work on an object.

Videos

Question

Chapter 3.14, Problem 90P

To determine

The final equilibrium temperature of the copper tank.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.14, Problem 89P

Chapter 3.14, Problem 91P

Students have asked these similar questions

A very thin metallic sheet is placed between two wood plates of different thicknesses. Theplates are firmly pressed together and electricity is passed through the sheet. The exposed surfaces ofthe two plates lose heat to the ambient fluid by convection. Assume uniform heating at the interface.Neglect end effects and assume steady state.[a] Will the heat transfer through the two plates be the same? Explain.[b] Will the exposed surfaces be at the same temperature? Explain

Design consideration requires that the surface of a small electronic package be maintained at atemperature not to exceed 82 o C. Noise constraints rule out the use of fans. The power dissipated inthe package is 35 watts and the surface area is 520 cm2 . The ambient temperature and surroundingwalls are assumed to be at 24 o C. The heat transfer coefficient is estimated to be 9.2 W/m2- oC andsurface emissivity is 0.7. Will the package dissipate the required power without violating designconstraints?

Consider radiation from a small surface at 100 oC which is enclosed by a much larger surface at24 o C. Determine the percent increase in the radiation heat transfer if the temperature of the smallsurface is doubled.

Chapter 3 Solutions

Fundamentals of Engineering Thermodynamics

Ch. 3.14 - 1. Why does popcorn pop? Ch. 3.14 - 2. A plastic milk jug filled with water and stored...Ch. 3.14 - Prob. 3E Ch. 3.14 - Prob. 4E Ch. 3.14 - Prob. 5E Ch. 3.14 - Prob. 6E Ch. 3.14 - Prob. 7E Ch. 3.14 - Prob. 8E Ch. 3.14 - 9. An automobile’s radiator cap is labeled “Never...Ch. 3.14 - 10. Why are the tires of airplanes and race cars...

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.