Die energie der Welt ist konstant die Entropie der Welt stre

Die energie der Welt ist konstant; die Entropie der Welt strebt einem Maximum zu. The energy of the world is constant; the entropy of the world approaches a maximum. Rudolf Clausius, d.1888, German physicist, originator of the concept of entropy. Consider a box containing 6 molecules and two imaginary compartments, A and B How many macrostates exist for this system? What is the probabity of the most probable macrostate? Consider a box with four imaginary compartments or coordinate positions and with nine molecules. What is the number of microstates for the macrostate (A = 3, B = 1, C = 1, D = 4)? What is the increase (or decrease) of entrophy of the molecules when they go from the state in (a) to the macrostate (A = 2, B = 2, C = 2, D = 3)? Find the propability that a tank of 100 grams of water will go from the state with the whole at 47 degree C to the state with the left half at 7 degree C and the right half at 87 degree C.

Solution

The probability of the same would be ZERO, as the temperature of water will not increase of decrease in the absence of another heat source (or sink).