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Ch.19 - Chemical Thermodynamics

Chapter 19, Problem 30b

(b) As a system goes from state A to state B, its entropy decreases. What can you say about the number of microstates corresponding to each state?

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Hello everyone today. We are being given the following question. The entropy of a system decreases as it goes from state B. Or to state B from state A well it's number of micro states increase or decrease. So first we want to recall boats Mons equation so that's bolts man's equation. And so this equation is going to be, the entropy is going to be equal to bolt means constant or K. Times the natural log of W. Where W equals the number of micro states. And so by principle we know that an increase in our entropy or s. Is going to equal an increase in possible micro states and micro states are simply just different states that a particle can exist in. And so and the question that says the entropy decreases. So we have a decrease in our entropy. So if we have a decrease in our entropy this is going to result in a decrease in the number of micro states. And this is going to be our final answer. So we're gonna have a decrease in our micro states. I hope this helped. And until next time.