Consider an ideal gas of N molecules, in equilibrium in a container of volume V . Calculate a. the probability p1 of finding all molecules concentrated in a volume V /3 (macrostate 1); b. the probability p2 of finding all molecules concentrated in a volume 2V /3 (macrostate 2); c. the probability p of finding N/3 of the molecules concentrated in a volume V / 3 and the others in the remaining volume; d. the entropy difference ∆S = S2 - S1 between states 1 and 2; e. the numerical values of p1, p2, and p for N = 9.
Consider an ideal gas of N molecules, in equilibrium in a container of volume V . Calculate a. the probability p1 of finding all molecules concentrated in a volume V /3 (macrostate 1); b. the probability p2 of finding all molecules concentrated in a volume 2V /3 (macrostate 2); c. the probability p of finding N/3 of the molecules concentrated in a volume V / 3 and the others in the remaining volume; d. the entropy difference ∆S = S2 - S1 between states 1 and 2; e. the numerical values of p1, p2, and p for N = 9.
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Consider an ideal gas of N molecules, in equilibrium in a container of volume V . Calculate
a. the probability p1 of finding all molecules concentrated in a volume V /3 (macrostate 1);
b. the probability p2 of finding all molecules concentrated in a volume 2V /3 (macrostate 2);
c. the probability p of finding N/3 of the molecules concentrated in a volume V / 3 and the others
in the remaining volume;
d. the entropy difference ∆S = S2 - S1 between states 1 and 2;
e. the numerical values of p1, p2, and p for N = 9.
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