ΔS = ∫[C/T]dT (from 5 to 10 K)
to relate entropy and heat capacity.
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)
Problem 1: Entropy Change near Absolute Zero A certain system has an entropy of 10 J/K at 10 K. If the temperature is decreased to 5 K, what is the change in entropy?
Using the equation:
Using the third law of thermodynamics, we can write:
ΔS = 0 as T → 0 K
