A glass of coke with mass mcoke is originally at temperature Tcoke (with Tcoke > 0°C). You want to cool it to a temperature Tinal,target or less (with 0°C < Tñinal < Tcoke). For cooling, ice cubes are available, each having a mass meube and temperature Tice (with Tice < 0°C). The specific heat of water is Cwater, the specific heat of ice is cice, the specific heat of coke is Ccoke, and the heat of fusion of water is Lf. (a) What is the minimum number N of ice cubes you need to reach a final temperature Tinal,target or below? Give a symbolic expression. The final state is in equilibrium with Tinal,target > 0°C (so all ice is melted). Use the following numbers: mcoke = 200 g Tcoke = 20°C Tinal,target = 6.0°C Mcube = 7.6 g Tice = -15°C Cwater = 4.19 × 10³ J/kg · K Cice = 2.10 x 103 J/kg · K %3D %3D %3D
A glass of coke with mass mcoke is originally at temperature Tcoke (with Tcoke > 0°C). You want to cool it to a temperature Tinal,target or less (with 0°C < Tñinal < Tcoke). For cooling, ice cubes are available, each having a mass meube and temperature Tice (with Tice < 0°C). The specific heat of water is Cwater, the specific heat of ice is cice, the specific heat of coke is Ccoke, and the heat of fusion of water is Lf. (a) What is the minimum number N of ice cubes you need to reach a final temperature Tinal,target or below? Give a symbolic expression. The final state is in equilibrium with Tinal,target > 0°C (so all ice is melted). Use the following numbers: mcoke = 200 g Tcoke = 20°C Tinal,target = 6.0°C Mcube = 7.6 g Tice = -15°C Cwater = 4.19 × 10³ J/kg · K Cice = 2.10 x 103 J/kg · K %3D %3D %3D
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:A glass of coke with mass mcoke is originally at temperature Tcoke (with Tcoke > 0°C).
You want to cool it to a temperature Tinal,target or less (with 0°C < Tñinal < Tcoke). For cooling, ice cubes are
available, each having a mass meube and temperature Tice (with Tice < 0°C).
The specific heat of water is Cwater, the specific heat of ice is Cice, the specific heat of coke is Ccoke, and the heat
of fusion of water is Lf.
(a) What is the minimum number N of ice cubes you need to reach a final temperature Tinal,target or below?
Give a symbolic expression. The final state is in equilibrium with Tinal,target > 0°C (so all ice is melted).
Use the following numbers:
mcoke = 200 g
Tcoke = 20°C
Tinal,target = 6.0°C
mcube = 7.6 g
Tice = -15°C
Cwater = 4.19 x 10³ J/kg · K
Cice = 2.10 x 103 J/kg · K
Ccoke = 3.90 × 10³ J/kg · K
Lf = 334 x 103 J/kg
(b) Calculate the minimum number N of ice cubes that is needed.
(c) What is the exact final temperature Tinal if you apply this number of ice cubes?
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