Here We have oxygen gas that is inside a silent er and the Salander is connected to a based, um The system is supposed to convert thermodynamic energy into mechanical energy by doing work on the best. So we hear about thermodynamic cycle here that is supposed to convert the term atomic energy into mechanical energy. And for the first part off the process we have on Lee the expansion of the gas and Sanders and so weaken right. This B zero is the initial velocity. And this is the pressure starting pressure. This be one for with the name, it be zero better. So this p zero and P zero so and they're coming. Point is the 0.0.8? No, from the point they under cost pressure. We hear the expansion of the guests twice of the volume. So volume 20 and point be on. We care the straight line like this. Next for the point B, we have the compression with the decrease of the port, so the pressure will increase the rolling with the crease on this Will Captain, under it cost to the temperatures. This is going to be any is a terrible process. And here is this Pressure B one and their common point since since people returned back into the zero, their body will return back to the nation Volume Million magnitudes. It will be a from B to point C. Right here. This is a is a terrible prose is so it will be slightly curved Quincy And then from the point c, we share ah, process where the pressure will decrease under a constant volume. So it will be just a vertical straight light on Dhere. We should draft the baby diagram the cold process. So this is the site the process and to return us back to the same points where it started and this is for the party. Oh, disproved. Now for the part to be of this problem here, we need to find the temperature that is on the dividing the temperature during this determined process. So the temperature will change from a to B and for me to see, the temperature will not change. So we need to find the temperature at the point B. Therefore, we need to analyze the process from a Toby and since this process is is offering processes, it is under cost pressure. We can use these barbaric ratio off volume and temperature which states exactly this. From here we can drive the D two so d two equals. Do one times the ratio off the volumes on Dhere. Weaken, Substitute them immediately. So this will give you treat 155 Killen's times ratio. All the organs which is to be zero or 30 This will cancel out And did you finally is equal to 700 dead killings. So this is the value of the temperature at the would be and during the whole is a terrible process for being to see next for the parts sealed problem we need to find pressure change during the is a terrible process. So we will use the relationship between president value for money is a terrible process. Um, this all this all this formulas inspirations derived from the little gas equation. Notice that there is no change in temperature from little gas equation. You know that the product of pressure and volume will be able to and are nt if the number of more this constant this is accosted by the physician and there is no change in temperature. So these constant Do you have? A is basically constant and in that case, if we have some changes in president pressure in volume, we can stay that the one we one equal speed to read because this product must stay constant during the whole is a term a process. So in this case, we can immediately derive that be do equals the one we want over we to Andi. We can substitute to the known models to obtain that B two week UAL's 2.4 times 10 to the Fifth power times and again we'll substitute to zero over B zero, which will cancel out putting this volume. Seeing Teoh calculator will be obtained that B two final equals 4.8 times 10 to the fifth barber basketballs, and this is the maximum value off the pressure. This is the value of the pressure that is larger than any other body of the pressure in the set. The pressure rise on the vertical axes on the TV die room. So for the barge deal, this problem we need to finally evaluate divorce done and the work done. But in the is ovary facing the face of expansion, we share them where we know that we care the temperature change. And we know that we have a volume Jane. So we won because way Want to find total work done work total will be equal. Do we want? Which is these over Facebook and we do, Which is that is a terminal phase. Borg, the part where there is no volume change has no work. Magnitude seven from zero. So only these two parts are needed. And therefore, for the work one or the is a brick expansion Bork. We know that it will be equal toe pressure. Time to change volume and from the other guests. Equation, this equals two. It relates to the change in temperature. So substituting to know values, we say that we want equals zero point the D fired times 8.31 times seven coverage den minus 355. But she's in Kelvin's and the doctor dimensions are angels. So we want the legal when we country. This on a calculator is 737 Going five. Jules no, for the work during the is a terrible compression. This is W two. We have that in this case pressure will be a function of volume, so we should soldiers by integration. But we know the result of the integration and against immediately substitute in the formula for such cases, which and are the times the natural logarithms on the ratio off the final and initial order. So substituting that known and corresponding bodies, we obtain that this is the negative. We could see that immediately from the liberating argument. It would be in the interval from 0 to 1 and elevator fractions negative from 0 to 1. This is one a cough here. So when they put this Wallace into calculator, we see that we do equals negative 1,001,022 points for Jules. So finally, the work total of them is we want plus we dough, which is 707.5 jewels minus 1000 and 22.4 Joe's. And put this into calculated. We obtained that we total is mine is 284.9 jewels, which can be approximated to minus 285 Jules. And the whole problem is now complete. I hope you find it's helpful and they hope to see you in another lesson.