A thought experiment by this physicist involves the area of a 6N-dimensional hypercylinder in the derivation of the extensive Sackur–Tetrode equation. Prior to Shannon, this physicist generalized Boltzmann’s definition of entropy as proportional to the sum over all microstates i (10[1])of [read slowly] “p-sub-i times the natural log of p-sub-i.” Failing to consider the indistinguishability of mixed (10[1])gases leads to this physicist’s namesake paradox. (10[2])The number of degrees of freedom equals the number of components minus the number of phases plus two by this physicist’s (10[1]-5[1])“phase rule.” The change in a quantity named (10[1])for this physicist equals negative RT times the natural log of the equilibrium constant. For 10 points, (10[1])enthalpy minus temperature times entropy (10[1])is what American physicist’s namesake “free energy?” ■END■ (10[1])