40 kg of ice at – 15°C is dropped in to a big lake at 0°C. (Assume that the lake is big enough for the temperature of the lake to remain constant before and after the interaction.) J J (Use Cice = 3.33× 105 and K = 2100 kg · K if you find negative answers, include the minus sign in your final result!) a) What is the equilibrium temperature of the system ice+lake in Kelvin scale? T. = K b) How much energy is transferred to the ice to heat it from - 15°C to 0°C? Qice J %3D c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Q/ake = d) How much water of the lake is turned into ice? m = kg e) Calculate the change of the entropy of ice that was dropped into the lake?A S ice K J f) Calculate the change of the entropy of the lake? ASoke %3D K g) Does the total change of entropy of the ice+lake system comply with the second law of Thermodynamics?

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40 kg of ice at – 15°C is dropped in to a big lake at 0°C. (Assume that the lake is big enough for the temperature of the lake to
remain constant before and after the interaction.)
(Use Cice
J
= 2100
J
and
kg · K = 3.33×105
if you find negative answers, include the minus sign in your final result!)
a) What is the equilibrium temperature of the system ice+lake in Kelvin scale? T. =
b) How much energy is transferred to the ice to heat it from – 15°C to 0°C? Qie
J
=
c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Qjake
J
d) How much water of the lake is turned into ice? m =
kg
J
e) Calculate the change of the entropy of ice that was dropped into the lake? AS
ice
K
J
f) Calculate the change of the entropy of the lake? AS,
lake
K
g) Does the total change of entropy of the ice+lake system comply with the second law of Thermodynamics?
Transcribed Image Text:40 kg of ice at – 15°C is dropped in to a big lake at 0°C. (Assume that the lake is big enough for the temperature of the lake to remain constant before and after the interaction.) (Use Cice J = 2100 J and kg · K = 3.33×105 if you find negative answers, include the minus sign in your final result!) a) What is the equilibrium temperature of the system ice+lake in Kelvin scale? T. = b) How much energy is transferred to the ice to heat it from – 15°C to 0°C? Qie J = c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Qjake J d) How much water of the lake is turned into ice? m = kg J e) Calculate the change of the entropy of ice that was dropped into the lake? AS ice K J f) Calculate the change of the entropy of the lake? AS, lake K g) Does the total change of entropy of the ice+lake system comply with the second law of Thermodynamics?
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