150 3 The Second and Third Laws of Thermodynamics: Entropy
oxygen can have its four hydrogens move independently
of the others, so long as two hydrogens are close to it and
two are farther from it.3.55Pretend that you can synthesize 1.000 mol of carbon
tetrachloride in which every molecule contains four
different isotopes of chlorine. Assume that in the crystal at
a very low temperature any one of the molecules can
occupy any one of the possible orientations such that each
equilibrium location of a chlorine atom is occupied by one
of the four isotopes but that the crystal is otherwise in its
equilibrium state.
a.How many different orientations are there for each
molecule?
b.What is the statistical entropy of the crystal?