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Math [J Incls79 Namt Aflatof rntal c4a Mltha um mikre; modl, und ycar - has # mcan fucl Icffkicngy d 25.6 nilo Pcr ellan (mpg).^ rndom sumpk of $4 @ris sckcted und the air fikcr of cach is rcplaced with ! nc# mc The air filtcr changc is dccmed cffecuve if u > 25.6 mPB Atest is mede of H : 25.6 srou H , 36. Tc hpathei teut concludes that te air filtct change is pot eflectite. Assume that tc xir fkcr change acmually cffcctive Whih tYPe of cno , Many. ha occucd?Typc [ b) Mcchnial falur "ypc

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Answers

Air with stagnation conditions of 150 psia and $400^{\circ} \mathrm{F}$ accelerates through a converging-diverging nozzle with throat area 3 in. $^{2} .$ A normal shock is located where the area is 6 in. $^{2}$. What is the Mach number before and after the shock? What is the rate of entropy generation through the nozzle, if there is negligible friction between the flow and the nozzle walls?

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.

Hello everyone. Let's start the question actually in this question they gave us three phillips. Okay we have to fill this phillips and we have to choose the correct option among the four options given in the question. Okay let's do this. So let's look into the first Philip Actually if you see only about 3.50. Um all okay of our uh 3 15 minutes out of the daughter of 100 and okay the 500 ml tidal volume. Is there out of the 500 ml of tidal volume? Only 3 50 ml off our enters the lung alveoli. Why it enters the lung alveoli? For the exchange of gas is okay the remaining, how much is remaining? 500 minus 3 50 is 1 50. This remaining Emel fills the respiratory route. All we can say respiratory passage and is termed as dead space. Okay this has turned us dead space because no exchange of gas takes place here. So the first answer first phillips. 3 50 ml. Second Philip is dead space. Now let's go further. Second Philip. Okay, so for a second Philip, the amount of air, which one which one can inhale? Or we can say inspire with the maximum effort. Uh or we can say amount of her. Which one can uh and also if you have to add. Okay so amount of her, which one can inhale with the maximum effort and I want of her. Which one can exhale with maximum effort is termed as Okay. It is termed as vital capacity. We know this vital capacity is going to I are we are we? And then title wallet. Okay. And uh it's value is approximately 4000 jahmal. Okay. So the answer of the third Philip is vital capacity and then 4000 U. Ml. Okay. Now let's proceed for the next statement. Okay. Actually the next statement stays during normal quiet breathing. Okay, what happens on average, approximately 500 ml of Ari's inspired, which is called US Title volume are 500 ml of various expired by an adult human male in each breath. This is called US. Yeah, we know this is called a tidal volume. So the answer of the fifth Philip is 500 ml and the 60 Philip is tidal volume. Okay, so by analyzing all these statements, the correct answer for this question is option Yeah. Thank you everyone.

By Sutherland Equation. Assuming the gas to be ideal, we can write. Muniz equals two mhm b t to the power of one way to divided by one plus as divided by t. He amused the dynamic viscosity. B and S are constant and T is the temperature where B can be written as 1.4. Why wait into 10 to the part of minus six kg per meter? Second Calvin to the part of one by two and, as is equals 210.4 Kelvin. No ideal gas equation by real gas equation Weekend right B is equal to row Artie, or role is equal. To be divided by RT like this is a question number two, and this is a question number one. Also, we know that the charismatic risk capacity can be written as new is equals. Two new musicals, too mu divided by through their music dynamic, constitute who is that density? Later, this question be it was a number three now putting the way, putting a question one and to any question, three bigot. New use equals two b t to the power one by two, divided by one plus as the very liberty. Yeah, whole liberated way be divided Priority p divided by authority upon rearrange, invigorate new musicals too would be We are divided man be into T to the part of three Where to divided by one plus estimated t or this weekend, right? Has be t to the power of three Bed two divided by one plus s t a r p Here here b is equal to We are divided by being and it is a constant No, we need to calculate to be using the formula physicals to be at the very happy. So putting the values we we get B is equal to 1.48 5458 into 10 to the part of minus six. Multiple anyway to 87.5 divided by 101.33 into 10 to the product three. So from this we get B is equal to 4.134 point 13 into 10 to the part of minus nine minus nine metre squared per second meters were per second. Kill him to the part of one by two Kelvin to report of one by two, therefore equation of chromatic viscosity can be written as musicals, too. B t to the power of three by two. We've heard it by one plus as divided by the late this equates ambiguous a number. For now, consider the table properties of air at atmospheric pressure at temperature T is equals to zero disintegrate at these equals to zero degrees Integrate. We have charismatic viscosity musicals to 1.33 into 10 to the power of minus 5 m were per second. Calculate charismatic viscosity. No, we will calculate the charismatic with capacity for temperature. T is called 20 Now convert these equals to zero. In Calvin, we get these equals to zero plus 2 73 0.1 is equals 2 to 73.1 Calvin. Now we will put the value of B T. And as any question number four. Then we get musicals too. 4.13 into 10 to 12 minus nine multiplied by 2 73 point one to the part of three by two, divided by one plus 110.4 divided by 2 73 0.1. So from this we get musicals to musicals to 1.33 into 10 to the part of minus 5 m square per second. Therefore, formula for formula for charismatic viscosity formula for aromatic with custom you is equals two verified very wide, very good. Now consider the table properties of air. At atmospheric pressure, AT T is equal to zero. So so the kinetic viscosity formula is verified. Now we will tabulate the values here we will, right. Temperature, temperature in degrees. Integrate Here we will. Right here. We will calculate you. Let calculated calculated value of value viscosity this capacity immune in military square per second. So our temperatures zero we have this quality. This will be in terms of in a multiple of 10 3 part of five in multiple of tend to the bottom minus five. So that is close to zero. We have music was to 1.338 to 10 for minus five A t Z equals 25 We have musicals to one country sound into 10 per minus five. It is close to 10. We have musicals to 1.41 into 10% minus five physicals to 15. We have musicals to 1.45 into 10 into 10% minus five. Similarly, we need to complete this for some more. Datas at the is equal to 95. We have musicals to 2.24 into 10 per minus five at physicals 200 we have musicals to 2.29 into temper minus five. Now we need to plot the graph between charismatic viscosity and the temperature for the values from the table property from the table, properties of air at atmospheric pressure and that calculated values. So we will draw the Adra. This is this is the drop. This is kinetic viscosity. Kinda Matic viscosity in multiple er multiple of 10 by 10 for minus five. And here in X axis, we have temperature temperature temperature. Now this is zero. This is 20. This is 40. This is 60. This is a P. This is 100 and this is 100 20. This is one into 10. Permit described. This is to 1.2 to 10 for minus five. This is 1.4 and 2 10 for minus five. This is 1.68 to 10 for minus five. This is 1.18 to 10 for minus five This is two and 2 10 for minus five. This is 2.2 and 2 10 for minus five. So after Roy, After putting the values calculated values, we get a question of straight line, almost straight line. And this will be like like this. This is going to be like this. No. We will also put the calculated values of table values. So some points are noted like this. So this is This one is calculated, and this one is stable. They will value. And this one is calculated values. Yeah, calculated. This one is calculated. Hope you like this, Alison. Thank you.

Discussion. We have to find a mark number at .1 and .2. Before and after shop. And entropy is innovation. Uh from the process. So first the flow is a central topic. So we can find a central pick. Are we racial from equation three? Still From Equation three at .1. At the station one. A one or a Star one is equal to two. So the magic number um will be 2.2 8.1. And for the gas swim of the normal shockwave you can use equation six here to find the magic number. I'd accept him too Will be .547. And from that the total pressure ratio across the normal shop can be found from this equation And from equation seven You have that P0 to our P01 will be appointed 6- 9 4. And we can have that the entire pitch in the region will be equal to because the stagnation temperature does not change across a normal shop soul. The increase in entropy is only related to the stagnation pressure or it is um ah log PCO two or p. c. 0. 1. And that would be 24.7 feed power force over pound my ass tom are. And these are the answers


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