Elementary Principles of Chemical Processes 4e Binder Ready Version + WileyPLUS Registration Card (Wiley Plus Products)
4th Edition
ISBN: 9781119231240
Author: Richard M. Felder
Publisher: Wiley (WileyPLUS Products)
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Chapter 10, Problem 10.28P
An iron bar 2.00 cm × 3.00 cm × 10.0 cm at a temperature of 95°C is dropped into a barrel of water at 25°C. The barrel is large enough so that the water temperature rises negligibly as the bar cools. The rate at which heat is transferred from the bar to the water is given by the expression
where U[= 0.050 J/(min?cm2?°C)] is a heat transfer coefficient, A(cm2) is the exposed surface area of the bar, and Tb(°C) and TW(°C) are the surface temperature of the bar and the water temperature, respectively. The heat capacity of the bar is 0.460 J/(g? °C). Heat conduction in iron is rapid enough for the temperature Tb(t) to be considered uniform throughout the bar.
- Write an energy balance on the bar, assuming that all six sides are exposed. Your result should be an expression for dTb/dt and an initial condition.
- Without integrating the equation, sketch the expected plot of Tbversus t, labeling the values of Tbat t = 0 and t ? 8.
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Chapter 10 Solutions
Elementary Principles of Chemical Processes 4e Binder Ready Version + WileyPLUS Registration Card (Wiley Plus Products)
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