Bobby Drake aka “Iceman” is member of the X-Men who has the physics-defying ability to “manipulate cold and ice” and is depicted lowering the temperature of nearby objects at will. For example, Iceman can freeze an entire pond in seconds just by touching the surface of the water. Let’s put some numbers to this example:The pond can be approximated as a hemisphere 20 m in diameter.Assume the density of water is 1.00 g cm–3 and independent of temperature.The temperature of the pond is initially 17°C and uniform throughout.After Iceman freezes the pond, its temperature is –10°C. a) How many moles of water are in the pond?b) What is the total amount of heat removed from the pond?c) Assuming Iceman has a normal human body temperature (37°C), and that his body temperature is constant during the freezing process, what must his change in entropy be (ΔSIceman) so that this process doesn’t violate the 2nd Law of Thermodynamics?d) Why isn’t it possible to “manipulate cold” or “increase the coldness” of an object? Explain in 1 or 2 sentences. Properties for water at P =1 barTfus = 0°C(J mol-1 K-1)AfusH = 6.010 kJ mol-1H20(s)38.09H20({)75.327

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Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Bobby Drake aka “Iceman” is member of the X-Men who has the physics-defying ability to “manipulate cold and ice” and is depicted lowering the temperature of nearby objects at will. For example, Iceman can freeze an entire pond in seconds just by touching the surface of the water. Let’s put some numbers to this example:

The pond can be approximated as a hemisphere 20 m in diameter.
Assume the density of water is 1.00 g cm^–3 and independent of temperature.
The temperature of the pond is initially 17°C and uniform throughout.
After Iceman freezes the pond, its temperature is –10°C.

a) How many moles of water are in the pond?

b) What is the total amount of heat removed from the pond?

c) Assuming Iceman has a normal human body temperature (37°C), and that his body temperature is constant during the freezing process, what must his change in entropy be (ΔS_Iceman) so that this process doesn’t violate the 2^nd Law of Thermodynamics?

d) Why isn’t it possible to “manipulate cold” or “increase the coldness” of an object? Explain in 1 or 2 sentences.

Properties for water at P =1 bar
Tfus = 0°C
(J mol-1 K-1)
AfusH = 6.010 kJ mol-1
H20(s)
38.09
H20({)
75.327

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