Since

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,If we change one of the variables, (P, V, n, or T) then one or much more 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 units

Boyle"s Law:

Boyle"s regulation examines the effect of an altering volume ~ above Pressure.To isolate this variables, temperature have to remain constant.We can get rid of temperature native both sides of the equation andwe areleft with P1V1= P2V2

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Sample Problem: A pistonwith a volume that gas of 1.0 m3 at 100 kPa is compressed come afinalvolume the 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 becomes
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See an computer animation on rearranging the combined gas lawCharles"s Law

Charles"s law examines the result of changingtemperatureon volume. Come isolate this variables, pressure should remain constant.

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

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T1 is 273 K

V1 is 1.0 m3

V2 is unknown

T2 is 136.5 K

Thesolution becomes
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Charleslaw Applet view what happens when you increasetemperature.Increasing temperature __________ pressure.

GUY-LUSSAC"S LAWNear the turn of the 19th century, Guy-Lussac investigated therelationship in between pressure and also temperature while the volume to be heldconstant. As soon as the temperature goes up the pressure inside arigid container likewise goes up. Because that example, your car tires, wheninflated, are essentially rigid, the volume will certainly not change. Didyou notice that once the temperature goes increase the push inside yourtires additionally increases?We can again use the linked gas legislation to quantify this relationship.

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Sample Problem: If yourtire is 2 liters and the initial push is 2 atm, what is the finalpressure once the temperature goes from 0 degrees celcius (273 K) to100 levels celcius (373 K)?

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

First, begin with the combinedgas law and cancel out the volumes because they perform not change.

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After removing 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