to relate entropy and heat capacity.

ΔS = 0.1 * (10 - 5) = 0.5 J/K A system has an entropy of 5 J/K at 20 K. What is the entropy at absolute zero?

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?

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:

ΔS = ∫[0.1T/T]dT (from 5 to 10 K) = ∫0.1dT (from 5 to 10 K)

ΔS = ∫[C/T]dT (from 5 to 10 K)

ΔS = C * ln(10/5) = C * ln(2)

Using the equation: