At 0 K, the entropy of carbon monoxide crystal is not zero but has a value of 4.2 J/K • mol, called the residual entropy. According to the third law of thermodynamics, this means that the crystal does not have a perfect arrangement of the CO molecules, (a) What would be the residual entropy if the arrangement were totally random? (b) Comment on the difference between the result in part (a) and 4.2 J/K • mol. (Hint: Assume that each CO molecule has two choices for orientation, and use liquation 18.1 to calculate the residual entropy.)
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