An ice cube at 0°C is placed in a very large bathtub filled with water at 30°C and allowed to melt, causing no appreciable change
in the temperature of the bath water. Which one of the following statements is true?
A. The net entropy change of the system (ice plus water) is zero because no heat was added to the system
B. The entropy lost by the ice cube is equal to the entropy gained by the water
C. The entropy of the system (ice plus water) increases because the process is irreversible
D. The entropy of the water does not change because its temperature did not change
E. The entropy gained by the ice cube is equal to the entropy lost by the water

An ice cube at 0°C is placed in a very large bathtub filled with water at 30°C and allowed to melt, causing no appreciable change in the temperature of the bath water. Statement C. The entropy of the system (ice plus water) increases because the process is irreversible will be true

What is entropy ?

The entropy of an object is a measure of the amount of energy which is unavailable to do work. Entropy is also a measure of the number of possible arrangements the atoms in a system can have. In this sense, entropy is a measure of uncertainty or randomness.

In a reversible process, the entropy of the universe stays unchanged, but in an irreversible (spontaneous) process, the entropy of the universe increases. It also increases during a non-spontaneous process that is measurable.

since , we can not convert water into ice again, hence it must be an irreversible process which implies that entropy will increase

hence correct option

C. The entropy of the system (ice plus water) increases because the process is irreversible

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