As T approaches 0 K, S(T) approaches S(0). Therefore, we can assume that:
The third law of thermodynamics states that as the temperature of a system approaches absolute zero (T = 0 K), the entropy of the system approaches a minimum value. Mathematically, this can be expressed as: third law of thermodynamics problems and solutions pdf
ΔS = ∫[0.1T/T]dT (from 5 to 10 K) = ∫0.1dT (from 5 to 10 K) As T approaches 0 K, S(T) approaches S(0)