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Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium

Chapter 18, Problem 27a

Ideal gases A (red spheres) and B (blue spheres) occupy two separate bulbs. The contents of both bulbs constitute the initial state of an isolated system. Consider the process that occurs when the stopcock is opened.

(a) Sketch the final (equilibrium) state of the system.

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Hello everyone in this video, we're being told that two ideal gasses so represented in yellow and green spheres initially occupy two separate bulbs. We go ahead and try to illustrate the final our equilibrium state of the system. When the stop block here is opened. So when the stock cock is opened, the two ideal gasses initially occupying the two separate bulbs will mix and a constant and stable ratio. Let's go ahead and put this in writing as well. So once stop cook is opened, The two Ideal Gasses, we'll mix in a concept and stable ratio. Okay. And number two, the stable or equilibrium state in this case is when the concentration of each ideal gas and each bulb becomes constant and among the options, the best choice is the one with the equal ratio of your spheres to green spheres and each bulb. So that's what we're looking out for. Alright, so initially you can see on the left side here we have eight yellow spheres. And over to the right we have eight green spheres, of course on the left. We also have no green spheres on the right side here we have no yellow spheres. So when the stop cock it open, the most balanced, stable or constant state. Whatever you want to call it, is where the left bulb has four green spheres and for green spheres, right bulb contains the same of four yellow spheres and four green spheres. But taking a look at option a here during a go ahead and scroll down. So we see option a here. So option A is actually not the best illustration of the final state because this left bulb here, let's actually write this out as well Has seven yellow spheres and only one green. And for the right ball peer we have one yellow And we have seven green. So this is not what we're looking for. We're looking at for each in each bowl. And moving on to option B. Here we see that this is also not the best illustration of the final seat because on the left here We have eight green spheres and zero yellow. But then over to the right here we have eight yellow and zero green. Again, that's not what we want. Let's go ahead and also put Xs on the ones we do not want other answer. Moving on to option C. Here, option C seems to have the best illustration of the final state because the left up here We have four yellow spheres and for green. Same thing. Further right here we have four yellow and for green and that's exactly what we said we want to find. So, option C is going to be my final answer which is very found answer. We all need to evaluate option D.
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Ideal gases A (red spheres) and B (blue spheres) occupy two separate bulbs. The contents of both bulbs constitute the initial state of an isolated system. Consider the process that occurs when the stopcock is opened.

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Ideal gases A (red spheres) and B (blue spheres) occupy two separate bulbs. The contents of both bulbs constitute the initial state of an isolated system. Consider the process that occurs when the stopcock is opened.

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Textbook Question

Ideal gases A (red spheres) and B (blue spheres) occupy two separate bulbs. The contents of both bulbs constitute the initial state of an isolated system. Consider the process that occurs when the stopcock is opened.

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