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msumner
 2 years ago
Constructing A Mathematical Model To Predict The Effects of Temperature And Pressure Of A Balloon
msumner
 2 years ago
Constructing A Mathematical Model To Predict The Effects of Temperature And Pressure Of A Balloon

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msumner
 2 years ago
Best ResponseYou've already chosen the best response.0A scientist (at sea level) releases a balloon that contains 1 mole of Helium (He) gas, which is less dense than air. The skin of this balloon is made of a Star Trekien material that can be stretched or contracted to any size. In other words the balloon can shrink to zero size and expand to infinite size. What do you think is going to happen to the volume of such a balloon if it allowed to rise to a height of 150 km. Articulate what you think will happen as a hypothesis. 1) Use atmospheric data in conjunction with Boyle's and Charle's Law to calculate the volume of a balloon at intervals of 10 km (starting from sea level) up to 150 km. 2) Use the Ideal Gas Law (PV = nRT) to predict the volume of the balloon as a function of its altitude (from sea level to 150 km in 10 km intervals). 3) Calculate the % deviation between the volume calculated in 1 and the volume calculated in 2 4) Use data from the CRC Handbook and Excel to do these calculation. 5) Plot the size of the balloon (as determined in 1 and 2) as a function of atmospheric height. 6) Write a conclusion in which you compare the calculated values for the balloon's volume with the predictions you made in your hypothesis.

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0I think this credit assignment is beyond my ability :( I am not even finished in algebra

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0if someone can guide me through this I would appreciate it very much

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0I think this should go in the chemistry section, but you might want to use the ideal gas law: PV = nRT

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0do you know the volume of one mole at STP?

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0I was reading this on hyperphysics so I thought it is physics related too :( ?

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0The other thing that you might need need for your assignment is a table that gives you information about atmospheric pressure and temperature. You can get a tables from the web search on "STP".

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0is STP the same as ATM?

msumner
 2 years ago
Best ResponseYou've already chosen the best response.01 atm = 760 mmHg = 760 torr

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0Standard Temperature and Pressure

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0the information I see are beyond 8th grade omg

Tinman
 2 years ago
Best ResponseYou've already chosen the best response.0Correct me if I'm wrong but the lower you are the higher the pressure so if the balloon rises it will expand as the pressure decreases @abb0t

Tinman
 2 years ago
Best ResponseYou've already chosen the best response.0no the pressure is lower at higher altitude actually

nincompoop
 2 years ago
Best ResponseYou've already chosen the best response.0how do you know that the pressure at higher altitude is lower?

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0Yes. Look up the values for standard pressures at different altitudes.

Tinman
 2 years ago
Best ResponseYou've already chosen the best response.0Regions on the Earth's surface (or in its atmosphere) that are high above mean sea level are referred to as high altitude. High altitude is sometimes defined to begin at 2,400 metres (8,000 ft) above sea level.[4][5][6] At high altitude, atmospheric pressure is lower than that at sea level. This is due to two competing physical effects: gravity, which causes the air to be as close as possible to the ground; and the heat content of the air, which causes the molecules to bounce off each other and expand.[7] Because of the lower pressure, the air expands as it rises, which causes it to cool.[8][9] Thus, high altitude air is cold, which causes a characteristic alpine climate. This climate dramatically affects the ecology at high altitude took this from Wikipedia

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0okay so how would you consider the temperature affecting the pressure inside the balloon? You're only giving the pressure outside the balloon.

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0I think this homework is going to make me want to pull my hairs off

Tinman
 2 years ago
Best ResponseYou've already chosen the best response.0the reason why the balloon expands is as a result of a pressure difference. this causes the balloon to expand in this case but as said above the temperature will decrease since the air expands.

Tinman
 2 years ago
Best ResponseYou've already chosen the best response.0guys correct me if I'm wrong

electrokid
 2 years ago
Best ResponseYou've already chosen the best response.1we have 1. \(P_{\rm atm}\propto e^{h}\) 2. T varies but nonunniformly with the height above sealevel 3. \(V_{\rm baloon}\propto {T\over P}\)

electrokid
 2 years ago
Best ResponseYou've already chosen the best response.11) use atmospheric data that you are supposed to have to find P at height 150m. 2) use boyle's law \(\Large{P_h\over P_0}={V_h\over V_0}\) to find the new volume of gas in the baloon. If you are familiar with calculus and differentiation, this step will be easier that way. 3) Given that \(PV=nRT\implies V=\frac{nRT}{P}\), plug in the "P" (and mybe T, if provided) interms of height "h" and that answers the second piece. 4) % deviation of V2 from V1: = (V2V1) * 100 / V1 5) rest seem pretty straight forward

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0how do I begin with the information electrokid provided? @abb0t

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0It looks prety clear how you should start. Lol.

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0can I use google docs to create the excel? I don't know this yet … I am only algebrabeginner's level

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0You can use microsoft excel. I dont think you need to go thru google..

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0how much is an excel? I don't own one

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0I can't find any atmospheric data above 3km I found this chart http://www.engineeringtoolbox.com/airaltitudepressured_462.html by following the formula, spreadsheet is only allowing me to calculate unto 40km

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0I don't even have the CRC Handbook… what is that?

Preetha
 2 years ago
Best ResponseYou've already chosen the best response.0That is why you have been given this problem. The math is simple. So your first task is to google around to get the table. Otherwise, your library will have a physical CRC Handbook.

Preetha
 2 years ago
Best ResponseYou've already chosen the best response.0http://usatoday30.usatoday.com/weather/wstdatmo.htm You can calculate the pressure for any altitude. Make a table of altitude, and P and T and use that to calculate V.

Preetha
 2 years ago
Best ResponseYou've already chosen the best response.0This is a better table: http://www.engineeringtoolbox.com/standardatmosphered_604.html

msumner
 2 years ago
Best ResponseYou've already chosen the best response.0thank you all. I will attempt this once more
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