Question: An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the properties of the egg to be p= 1020 kg/m and C, - 3.32 ka/kg- C, determine how much heat is transferred to the egg by the time the average temperature of the egg rises to 70°C.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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9:EE I 99
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Question:
An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a
uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the properties of
the egg to be p = 1020 kg/m? and C, = 3.32 kJ/kg - °C, determine how much heat is transferred
to the egg by the time the average temperature of the egg rises to 70°C.
Answer:
Step 1 of 3
Apply the energy balance to the closed system.
E-E = AEren
Q = m(u, -u)
O. = mC, (T, -7,) . (1)
Here, the mass is m, the initial and final temperatures are T, and T, and the specific heat
constant at constant pressure is C,
Step 2 of 3
Calculate the mass of the egg.
6
Here, the density of egg is p and the diameter of the ball is D.
Substitute 1020 kg/m' for p and 0.055 m for D-
(0.055)
m = 1020x
= 0.08886 kg
Step 3 of 3
Substitute 0.08886 kg for m, 3.32 kJ/kg. °C for C,. 8°C for T,, and 70°C for T, in equation (1).
O, - mC, (T, -7,)
-0.08886 x 3.32(70-8)
=18.291 kJ
Therefore, the rate of heat transfer from all the egg is 18.291 kJ.
Transcribed Image Text:9:EE I 99 Ton_3.pdf Powered by Ninja x Samurai Question: An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the properties of the egg to be p = 1020 kg/m? and C, = 3.32 kJ/kg - °C, determine how much heat is transferred to the egg by the time the average temperature of the egg rises to 70°C. Answer: Step 1 of 3 Apply the energy balance to the closed system. E-E = AEren Q = m(u, -u) O. = mC, (T, -7,) . (1) Here, the mass is m, the initial and final temperatures are T, and T, and the specific heat constant at constant pressure is C, Step 2 of 3 Calculate the mass of the egg. 6 Here, the density of egg is p and the diameter of the ball is D. Substitute 1020 kg/m' for p and 0.055 m for D- (0.055) m = 1020x = 0.08886 kg Step 3 of 3 Substitute 0.08886 kg for m, 3.32 kJ/kg. °C for C,. 8°C for T,, and 70°C for T, in equation (1). O, - mC, (T, -7,) -0.08886 x 3.32(70-8) =18.291 kJ Therefore, the rate of heat transfer from all the egg is 18.291 kJ.
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