This quantity goes to a minimum as temperature approaches absolute zero.
For a black hole, this quantity is given by the product of the area of that black hole with Boltzmann's constant, divided by four times the Planck length squared. Taking the negative derivative with respect to temperature of the Helmholtz free energy yields this quantity, which can be defined as Boltzmann's constant times the logarithm of the number of microstates of a system. This quantity goes to a minimum as temperature approaches absolute zero. For 10 points, the second law of thermodynamics holds that, over time for isolated systems, there is an increase in what measure of disorder, symbolized S?
For a black hole, this quantity is given by the product of the area of that black hole with Boltzmann's constant, divided by four times the Planck length squared.
{entropy} [prompt on {S} before it is read]