An iron bar 2.0 cm x 3.0 cm x 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 Q (J/min) = UA (T₁, -T.) where U = 0.05 J/(min cm °C)] is a (cm) is the exposed surface area of the bar, T, and T are the surface temperature of the bar and the water temperature, respectively. The heat capacity of the bar is 0.46 J/g °C). Heat conduction in iron is rapid enough for the temperature T, to be considered uniform throughout the bar. a) Write an energy balance on the bar b) Plot the expected plot of T, versus t and then curve fitting. M = (60 cm²)(7.7 g/cm³) = 462 g C₂ = 0.46 kJ/(kg.°C), T = 25°C U=0.050 J/(min-cm².°C) 4= 2[(2)(3)+(2)(10)+(3)(10)]cm² = 112 cm²

An iron bar 2.0 cm x 3.0 cm x 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 Q (J/min) = UA (T₁, -T.) where U = 0.05 J/(min cm °C)] is a (cm) is the exposed surface area of the bar, T, and T are the surface temperature of the bar and the water temperature, respectively. The heat capacity of the bar is 0.46 J/g °C). Heat conduction in iron is rapid enough for the temperature T, to be considered uniform throughout the bar. a) Write an energy balance on the bar b) Plot the expected plot of T, versus t and then curve fitting. M = (60 cm²)(7.7 g/cm³) = 462 g C₂ = 0.46 kJ/(kg.°C), T = 25°C U=0.050 J/(min-cm².°C) 4= 2[(2)(3)+(2)(10)+(3)(10)]cm² = 112 cm²

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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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

An iron bar 2.0 cm x 3.0 cm x 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 Q (J/min) = UA (T₁-T)
where U = 0.05 J/(min cm °C)] is a (cm) is the exposed surface area of the bar,
T, and T are the surface temperature of the bar and the water temperature,
respectively. The heat capacity of the bar is 0.46 J/g °C). Heat conduction in iron
is rapid enough for the temperature T, to be considered uniform throughout the bar.
a) Write an energy balance on the bar
b) Plot the expected plot of T, versus t and then curve fitting.
M = (60 cm³) (7.7 g/cm³) = 462 g
C, = 0.46 kJ/(kg-°C), T = 25°C
U= 0.050 J/(min-cm².°C)
4 = 2[(2)(3)+(2)(10)+(3)(10)]cm² = 112 cm²

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