40 kg of ice at - 30°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 =2100 kg · KL;= 3.33×105 and 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to the ice to heat it from -30°C to 0°C? Qire c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Q, iake %3D d) How much water of the lake is turned into ice?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 Sice K J f) Calculate the change of the entropy of the lake? ASoke = K

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40 kg of ice at - 30°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
J
L;= 3.33x105
and
interaction.) (Use cice = 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 - 30°C to 0°C? Qice
=
c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Qjoke=
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? ASice
K
J
f) Calculate the change of the entropy of the lake? AS oke
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 - 30°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 J L;= 3.33x105 and interaction.) (Use cice = 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to the ice to heat it from - 30°C to 0°C? Qice = c) Assuming that the ice+lake system is isolated, how much energy is withdrawn from the lake?Qjoke= d) How much water of the lake is turned into ice?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? ASice K J f) Calculate the change of the entropy of the lake? AS oke K g) Does the total change of entropy of the ice+lake system comply with the second law of Thermodynamics?
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