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8. Dalton"$ law: A tire contains mixture of guses wth Ihe ' following partilprcce4 MPa, Puz 191,} Wa_ S 3 and Pothrr Eujes 2.30kFa. Calculale the TOTAL PR...

Question

8. Dalton"$ law: A tire contains mixture of guses wth Ihe ' following partilprcce4 MPa, Puz 191,} Wa_ S 3 and Pothrr Eujes 2.30kFa. Calculale the TOTAL PRESSURE Deailt partial pressunte183.7 kPa245.kPa101.} kPJ242,7 kPa3

8. Dalton"$ law: A tire contains mixture of guses wth Ihe ' following partilprcce4 MPa, Puz 191,} Wa_ S 3 and Pothrr Eujes 2.30kFa. Calculale the TOTAL PRESSURE Deailt partial pressunte 183.7 kPa 245.kPa 101.} kPJ 242,7 kPa 3



Answers

The gauge pressure in a car tire is $305 \mathrm{kPa}$ when its temperature is $15^{\circ} \mathrm{C}$. After running at high speed, the tire has heated up and its gauge pressure is $360 \mathrm{kPa}$. What is then the temperature of the gas in the tire? Assume atmospheric pressure to be $101 \mathrm{kPa}$. Being careful to use only absolute temperature and absolute pressures: $$ \frac{P_{1} V_{1}}{T_{1}}=\frac{P_{2} V_{2}}{T_{2}} \quad \text { or } \quad T_{2}=T_{1}\left(\frac{P_{2}}{P_{1}}\right)\left(\frac{V_{2}}{V_{1}}\right) $$ $$ \text { with } \quad P_{1}=305 \mathrm{kPa}+101 \mathrm{kPa}=406 \mathrm{kPa} \quad \text { and } \quad P_{2}=360 \mathrm{kPa}+101 \mathrm{kPa}=461 \mathrm{kPa} $$ $$ \begin{array}{l} \text { Then }\\ T_{2}=(273+15)\left(\frac{461}{406}\right)(1.00)=327 \mathrm{~K} \end{array} $$ The final temperature of the tire is $327-273=54{ }^{\circ} \mathrm{C}$.

This problem commerce the concept of the air pressure and the absolute pressure equals the gauge pressure plus the atmospheric pressure. And we know that the atmospheric pressure in kila pascal is uh 101.32 kill a basket. And from this equation we can write the question for the gauge pressure is a cuba into the absolute pressure minus the atmospheric pressure. Now, if you substitute the value, the gauge pressure equals the absolute pressure is 655. Hello pascal Minour that most very pressure that is 101 1 3 to kill Abascal Are the gauge pressure equals 554. Hello Bhaskar.

Each partial pressure is part of the whole There. We have to add pressure. One of pressure, too, plus pressure three post pressure for in order to get the total whole pressure. So it's just in addition problem. We're gonna take five KP A plus 4.6 plus three points here, two plus 1.2 because they're all in K P. Ace. We don't have to do anything. The sign just Adam up you get 13.78 k p day, which is the total of all of these four person pressures.

Given information for the evolve. Question is here behave. Number, morals number off Moles off maintain may attain guests Number of all It's no denoted by in mething ch four is equal to 0.31 more in next to give number of moles off Detain Guess in si do it six is equal toe zero point through fire fall and next to be here Number off Morris um broadband little being guess in c three h a is equal toe little boy in blown nine Next to be hit the daughter I like pressure be Daughter is equal to 1.50 It's the in lives kill glade The moral fiction more friction you noted by eggs I off each Gambone each component. So the come on friction it's I is defined is do you find is the amount of que monde of off goes to do and divided by divided by the doctor Amount of all constituent But how against e two wins in a mixture So here defend would have for finding more friction x I is equal ruled and I divide by in daughter So first we find more fiction for meant Angus first for the meeting. Guests. Myth Angus formula here is exceeded for Is Equal girl in Si. It's four divided by and see its four number of Moore's off maintain plus number of more self detain. Less number of more self propane c tree hinge Gamed exceed its four is equal to by putting male use zero point 31 morn, divided by 0.31 Bless number of moles off detainees. 0.25 plus in number. More self propane is 0.9 Somewhat these values and to behave see it's for is it will do. Zero point truly. One role. Divided by 0.85 Mol is equal to number more. So many things is zero point. See 65 So we have number Morse off numbers and number off. More friction off detainees. X C is for is equal. Do we have zero point 365? Next to behave? Um, for Etain, Guess x c toe and six is equal to and see to it. Six. Divided by in See it four plus can see toe it. Six plus in Cito Sit three h it propane. So here we have values by putting menus. See toe 86 is equal to 0.25 balls. Do you write it by 0.31 number? More so maintain. Bless it ain blessed propane, so we have values. Zero point Do five more Divided by zero Blind 85 mall is equal to zero point through nine four small and next to behave more friction for being. Guess eggs C three inch it his equal Go and c three h it divided by in si It's four plus in sea do in six plus in C three inch It so by putting will use. We have fear. Yeah, Zittel Point toe. Nine More divided by 0.31 Bless 0.25 plus Zittel Point through nine mold and we hear final value. His equal do 0.29 wall divided by zero point Kate five. World is equal to zero, going three for one mold. So here more friction for eggs. C three h eight is equal to 0.341 Mole No, we gain Kill Glade. The partial pressures Pressure's off the uses Formal off our partial prison of the Guesses B I is equal to be to order x I here x i He's more friction of gumbo off combined and be by is for sure Brazier. Partial pressure off Come Bonin's and beat order. He's your daughter. Pressure off a mixture off guesses. No, we have to find the partial pressure of the guesses here, but B C it's for Is It will do be daughter Bless. Be totally in do eggs C H for is equal to we have values 1.5 80 in in tow. He's, you know, blind 365 So we have been you is equal do 0.5475 it in so partial eso pressure now see his forties approximately equal to zero point file five empty in So the personal fresh air ray share uh, the maintain maintain Guess he's guess is 0.55 Must be pressure next to behave partial appreciated for maintain is it will do be daughter into more friction. See to it six By putting they'll use. We have here one point by zero into zero point Do 94 is equal to zero point 44 When When do anti him so Brochin appreciate off but I shall appreciate off you. Pain is approximately equal to 0.44 de in, so the person pressure off 18 guesses. 0.44 18. Next, we have to find the personal pressure A propane gays see three inch aid is it will do the total into more frictional propane. So by putting we'll use total pressure 1.50 and to more friction. 0.3 for one more than fictional. Broke in is equal to 0.511 gate tm So partial pressure A propane guest is approximately. It will do. Zero going 51 80 in So we have okay Deeper. Sure Issue personal pressure off the but obeying guests c three it's It is 0.51 80 in

B one is atmospheric pressure. Bless Gage. Pressure equals 2 90 Paschal. Onboard we do is the atmospheric pressure as the case pressure 2 20 equals three. Then Gilo basket. Get pastors. So now, at constant volume we have. Do you do over t one equals B C over B one. It was feed then over to 90 it was 1.7. So temperature in possessed I 7%.


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