Problem 1- Use of Specific Heat for Solids While making a sword, a blacksmith receives an emergency phone call and must take her sword directly out of the furnace (1200°C) and place it in a cooling bath made of water, which is at room temperature (25°C). The sword can be modeled as 2 kg of steel with a constant specific heat, c = 0.59 kJ kg¹ K¹. If there are 6 kg of water in the cooling bath, what is the final temperature of the water? Do not use the idea of specific heat to solve for any necessary property changes of the water.

Elements Of Electromagnetics
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Problem 1 - Use of Specific Heat for Solids
While making a sword, a blacksmith receives an emergency phone call and must take her sword directly
out of the furnace (1200°C) and place it in a cooling bath made of water, which is at room temperature
(25°C). The sword can be modeled as 2 kg of steel with a constant specific heat, c, = 0.59 kJ kg¹ K¹. If
there are 6 kg of water in the cooling bath, what is the final temperature of the water? Do not use the
idea of specific heat to solve for any necessary property changes of the water.
(Hint: you do not immediately know the final temperature, so you will have to guess one and check to see
if your results are self-consistent; if they aren't, you will have to iterate until you get a set of results that
are, within about 5% error for the purposes of this problem.)
Before you start any computation, draw a schematic of your system, identify the boundary that you plan
to use, and list your initial assumptions.
Transcribed Image Text:Problem 1 - Use of Specific Heat for Solids While making a sword, a blacksmith receives an emergency phone call and must take her sword directly out of the furnace (1200°C) and place it in a cooling bath made of water, which is at room temperature (25°C). The sword can be modeled as 2 kg of steel with a constant specific heat, c, = 0.59 kJ kg¹ K¹. If there are 6 kg of water in the cooling bath, what is the final temperature of the water? Do not use the idea of specific heat to solve for any necessary property changes of the water. (Hint: you do not immediately know the final temperature, so you will have to guess one and check to see if your results are self-consistent; if they aren't, you will have to iterate until you get a set of results that are, within about 5% error for the purposes of this problem.) Before you start any computation, draw a schematic of your system, identify the boundary that you plan to use, and list your initial assumptions.
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