Which of the following will have the largest absolute entropy?Group of answer choicesone mole of H2O2 vapor and one mole of H2O vaporone mole of H2O2 liquid and one mole of H2O liquidtwo moles of H2O2 vaportwo moles of H2O vapor
Question
Which of the following will have the largest absolute entropy?Group of answer choicesone mole of H2O2 vapor and one mole of H2O vaporone mole of H2O2 liquid and one mole of H2O liquidtwo moles of H2O2 vaportwo moles of H2O vapor
Solution
The entropy of a system is a measure of its disorder or randomness. In general, the entropy of a system increases with the number of particles, the volume, and the temperature.
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One mole of H2O2 vapor and one mole of H2O vapor: The entropy of a gas is higher than that of a liquid because gases are more disordered than liquids. Therefore, the entropy of H2O2 vapor and H2O vapor will be higher than that of H2O2 liquid and H2O liquid. However, since we have two different substances here, we cannot directly compare their entropies.
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One mole of H2O2 liquid and one mole of H2O liquid: As mentioned above, the entropy of a liquid is lower than that of a gas. Therefore, the entropy of H2O2 liquid and H2O liquid will be lower than that of H2O2 vapor and H2O vapor.
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Two moles of H2O2 vapor: The entropy of a system increases with the number of particles. Therefore, two moles of H2O2 vapor will have a higher entropy than one mole of H2O2 vapor and one mole of H2O vapor.
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Two moles of H2O vapor: Similarly, two moles of H2O vapor will have a higher entropy than one mole of H2O2 vapor and one mole of H2O vapor.
Comparing options 3 and 4, we cannot directly compare the entropies of H2O2 and H2O because they are different substances. However, since we have the same number of moles and the same state of matter (vapor), we can say that their entropies will be similar.
Therefore, the option with the largest absolute entropy will be either "two moles of H2O2 vapor" or "two moles of H2O vapor".
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