Die energie der Welt ist konstant; die Entropie der Welt strebt einem Maximum zu

Question

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.

Explanation / Answer

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).

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