Answered: A cylindrical container, 6m in radius…

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

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A cylindrical container, 6m in radius and 3m long, with a lid holds 1.657 x 107 moles of water at 30 °C has a turbine inside of it that delivers work to the water in the container at a constant rate of 3000 KW. Assume no heat can escape through the lid or the sides of the container. How quickly will the water reach 50 °C? If, at 50 °C the lid is lifted and heat escapes at a constant rate of 50KW/m2 at the surface of the water, will the pot reach its original temperature, and if so how quickly? (Density of water: 1g/cm3 , Heat capacity of water: Cp = 4.18 KJ/kg/°C)

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$G i v e n r = 6 m L = 3 m n = 1.657 \times 10^{7} m o l e s T_{1} = 30^{o} C W = 3000 k W T_{2} = 50^{o} C Q = 50 k W / m^{2} ρ = 1 g / c m^{3} C_{p} = 4.18 k J / k g^{o} C$

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