An unknown material, m1 = 0.35 kg, at a temperature of T1 = 94 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.4 kg of water at T2 = 21 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 33.9 degrees C.   1. Input an expression for the specific heat of the unknown material.  2. What is the specific heat in J/(kg⋅K)?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
Problem 16PQ
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An unknown material, m1 = 0.35 kg, at a temperature of T1 = 94 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.4 kg of water at T2 = 21 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 33.9 degrees C.

 

1. Input an expression for the specific heat of the unknown material. 

2. What is the specific heat in J/(kg⋅K)? 

Expert Solution
Step 1: Determine the given variables:

straight m subscript 1 equals 0.35 space kg
straight T subscript 1 equals 94 degree straight C
straight m subscript 2 equals 1.4 space kg
straight c subscript straight w equals 4186 space straight J divided by kg. straight K
straight T subscript 2 equals 21 degree straight C
straight T equals 33.9 space degree straight C

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