Since

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,If we change one the the variables, (P, V, n, or T) climate one or an ext oftheother variables must also change. Thisleads to the equation
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or if the number of moles stays thesame
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.

You are watching: P1v1 t1 p2v2 t2 solve for t2

Boyle"s Law:

Boyle"s law examines the impact of changing volume top top Pressure.To isolate this variables, temperature have to remain constant.We can get rid of temperature from both political parties of the equation andwe areleft v P1V1= P2V2

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Sample Problem: A pistonwith a volume that gas of 1.0 m3 in ~ 100 kPa is compressed come afinalvolume that 0.50 m3. Whatis the last pressure?

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P1 is 100 kPa

V1 is 1.0 m3

V2 is 0.50 m3

P2 is unknown

P1V1=P2V2 i do not care
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See an animation on rearranging the an unified gas lawCharles"s Law

Charles"s legislation examines the effect of changingtemperatureon volume. To isolate these variables, pressure must remain constant.

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so Charles"s law is
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Sample problem: A piston v a volume that gas of1.0 m3at 273 K is cooled to a temperature that 136.5 K. Whatis the final volume? (Assume push is maintained constant.)

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T1 is 273 K

V1 is 1.0 m3

V2 is unknown

T2 is 136.5 K

Thesolution i do not care
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Charleslaw Applet check out what happens when you increasetemperature.Increasing temperature __________ pressure.

GUY-LUSSAC"S LAWNear the rotate of the 19th century, Guy-Lussac investigated therelationship between pressure and also temperature while the volume to be heldconstant. Once the temperature goes up the press inside arigid container also goes up. Because that example, your vehicle tires, wheninflated, are essentially rigid, the volume will not change. Didyou an alert that when the temperature goes increase the pressure inside yourtires additionally increases?We can again usage the combined gas legislation to quantify this relationship.

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Sample Problem: If yourtire is 2 liters and also the initial pressure is 2 atm, what is the finalpressure as soon as the temperature goes indigenous 0 levels celcius (273 K) to100 levels celcius (373 K)?

T1 is 273 KP1 is 2 atmP2 is unknownT2 is 373 K

First, start with the combinedgas law and also cancel the end the volumes because they perform not change.

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After remove the volumes,
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Rearranging the equation:
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so the last pressure P2, is (2.00atm)(373K)/(273 K) = 2.73 atm