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.

Question

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.