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2. Suppose a piece of metal at 90 °C is quickly transferred into a Styrofoam cup containing 212 grams of water at 24 °C. After a minute or so, the temperature of the contents of the cup is stable at 35 °C. Use 4.2 J/(g.°C) as the specific heat capacity of water and assume that during this time the energy transferred between the contents of the cup and the surroundings is negligible and that there is no heat loss to the cup. (a) How much heat in joules is gained by the water? (b) How much heat in joules is lost by the metal? (c) What is the heat capacity of this piece of metal? (d) If the mass of the metal is 196 grams, what is its specific heat capacity? (e) What is the change of water's entropy? Note the volume of water stays the same. (f) What is the change of total entropy of the system, including both water and metal?

2. Suppose a piece of metal at 90 °C is quickly transferred into a Styrofoam cup containing 212 grams of water at 24 °C. After a minute or so, the temperature of the contents of the cup is stable at 35 °C. Use 4.2 J/(g.°C) as the specific heat capacity of water and assume that during this time the energy transferred between the contents of the cup and the surroundings is negligible and that there is no heat loss to the cup. (a) How much heat in joules is gained by the water? (b) How much heat in joules is lost by the metal? (c) What is the heat capacity of this piece of metal? (d) If the mass of the metal is 196 grams, what is its specific heat capacity? (e) What is the change of water's entropy? Note the volume of water stays the same. (f) What is the change of total entropy of the system, including both water and metal?

Elements Of Electromagnetics
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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I need help with parts d, e, and f please.

2. Suppose a piece of metal at 90 °C is quickly transferred into a Styrofoam cup containing 212 grams of water at 24 °C. After a minute or so, the temperature of the contents of the cup is stable at 35 °C. Use 4.2 J/(g.°C) as the specific heat capacity of water and assume that during this time the energy transferred between the contents of the cup and the surroundings is negligible and that there is no heat loss to the cup. (a) How much heat in joules is gained by the water? (b) How much heat in joules is lost by the metal? (c) What is the heat capacity of this piece of metal? (d) If the mass of the metal is 196 grams, what is its specific heat capacity? (e) What is the change of water's entropy? Note the volume of water stays the same. (f) What is the change of total entropy of the system, including both water and metal?
Transcribed Image Text:2. Suppose a piece of metal at 90 °C is quickly transferred into a Styrofoam cup containing 212 grams of water at 24 °C. After a minute or so, the temperature of the contents of the cup is stable at 35 °C. Use 4.2 J/(g.°C) as the specific heat capacity of water and assume that during this time the energy transferred between the contents of the cup and the surroundings is negligible and that there is no heat loss to the cup. (a) How much heat in joules is gained by the water? (b) How much heat in joules is lost by the metal? (c) What is the heat capacity of this piece of metal? (d) If the mass of the metal is 196 grams, what is its specific heat capacity? (e) What is the change of water's entropy? Note the volume of water stays the same. (f) What is the change of total entropy of the system, including both water and metal?
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