S(T) = S(0) + ∫[C/T]dT (from 0 to T)
S(0) = S(20) - ∫[C/T]dT (from 0 to 20 K)
ΔS = ∫[0.1T/T]dT (from 5 to 10 K) = ∫0.1dT (from 5 to 10 K)
S(T) = S(0) + ∫[C/T]dT (from 0 to T)
Using the third law of thermodynamics, we can write:
ΔS = C * ln(10/5) = C * ln(2)
or
Using the third law of thermodynamics:
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