6.13 Heating glycerol solution An adiabatic stirred tank is used to heat 100 kg of a 45% glycerol solution in water. An electrical coil delivers 2.5 kW of power to the tank; 88% of the energy delivered by the coil goes into heating the vessel contents. The glycerol solution is initially at 15°C. (a) Write a differential equation for the energy balance. (b) Integrate the equation to obtain an expression for temperature as a function of time. (c) Assuming glycerol and water form an ideal solution, how long will the solution take to reach 90°C?
6.13 Heating glycerol solution An adiabatic stirred tank is used to heat 100 kg of a 45% glycerol solution in water. An electrical coil delivers 2.5 kW of power to the tank; 88% of the energy delivered by the coil goes into heating the vessel contents. The glycerol solution is initially at 15°C. (a) Write a differential equation for the energy balance. (b) Integrate the equation to obtain an expression for temperature as a function of time. (c) Assuming glycerol and water form an ideal solution, how long will the solution take to reach 90°C?
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.8P
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Transcribed Image Text:6.13 Heating glycerol solution
An adiabatic stirred tank is used to heat 100 kg of a 45% glycerol solution in water. An electrical coil delivers 2.5 kW
of power to the tank; 88% of the energy delivered by the coil goes into heating the vessel contents. The glycerol
solution is initially at 15°C.
(a) Write a differential equation for the energy balance.
(b) Integrate the equation to obtain an expression for temperature as a function of time.
(c) Assuming glycerol and water form an ideal solution, how long will the solution take to reach 90°C?
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