Question

An ice chest initially contains 3.08 kg of ice at 0°C.

(a) Find the change in the entropy of the system of the ice chest and its contents just after the ice has melted.
-----------------J/K

(b) Find the change in the entropy of the surroundings, assuming the air outside the ice chest is at 27°C.
---------------J/K

(c) Find the total entropy change of the universe as a result of this process.
----------------J/K

(d) Find the ratio Ω_f/Ω_i for the system.
exp(----------------- )

Find the ratio Ω_f/Ω_i for the surroundings.
exp( ----------------- )

Find the ratio Ω_f/Ω_i and for the combination of the system and its surroundings.
exp( ----------------- )

Answer 1

a)

Entropy Change = (Energy transferred) / (Temperature in kelvin)
deltaS = Q / T
Q = (mass)(latent heat of fusion)
Q = m(hfusion)
Q = (3080g)(333J/g) = 1025640 J
T(K) = T(C) + 273.15 = 273.15K
deltaS = 1025640 / 273.15=3754.86 J/K

b)change in entropy of surroundiongs=-(Energy transferred) / (Temperature in kelvin)
deltaS = Q / T
Q = (mass)(latent heat of fusion)
Q = m(hfusion)
Q = (3080g)(333J/g) = 1025640 J
T(K) = T(C) + 273.15 = 27+273.15=300.15K
deltaS = -1025640 / 300.15=-3417.09 J/K

c)Total entropy of universe=Ssystm+Ssurrounding=3754.86-3417.09=337.77 J/K.

Please elaborate the symbols of omega f and omega i for further understanding.