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In which of the following cases would a spontaneous process be more likely to occur?Select one:a.Entropy increases in both the system and surroundings.b.Entropy increases in the system and decreases in the surroundings.c.Entropy decreases in both the system and surroundings.d.Entropy decreases in the system and increases in the surroundings.

Question

In which of the following cases would a spontaneous process be more likely to occur?Select one:a.Entropy increases in both the system and surroundings.b.Entropy increases in the system and decreases in the surroundings.c.Entropy decreases in both the system and surroundings.d.Entropy decreases in the system and increases in the surroundings.

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Solution

The answer is a. Entropy increases in both the system and surroundings.

Here's why:

A spontaneous process is one that occurs naturally under a given set of conditions. According to the second law of thermodynamics, in any spontaneous process, the total entropy of a system and its surroundings always increases.

So, if entropy increases in both the system and surroundings, it means the total entropy is increasing, which is a condition for a process to be spontaneous. Therefore, option a is the most likely scenario for a spontaneous process to occur.

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