Which of the following statements about entropy (S) is false?
A. Entropy is an extensive property.
B. Entropy has the same dimensions as the gas constant.
C. Entropy can be expressed in kcal/K.
D. The entropy of the universe is unchanged by a reversible process.
E. The entropy of the universe cannot decrease, but the entropy of a system can.
A. Incorrect. This statement is true. The entropy of 1 mol of a substance at a certain T and P will be less than the entropy of 10 mol at the same T and P.
B. Correct. In SI, entropy has dimensions of energy per absolute temperature and units such as J/K. The gas constant can be expressed in dimensions of energy per absolute temperature-amount of substance and units such as J/mol•K. Molar entropy has the same units as the gas constant.
C. Incorrect. This statement is true. Entropy has dimensions of energy per absolute temperature. kcal/K has these dimensions.
D. Incorrect. This statement is true. The definition of a reversible process is one that does not increase entropy of the system or universe.
E. Incorrect. This statement is true. Overall or universal entropy may never decrease according to current knowledge of physics, however a system can lose entropy. Water freezing or steam condensing are both examples of a substance losing entropy.
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