Since

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,If we change one that the variables, (P, V, n, or T) then one or more oftheother variables must likewise change. Thisleads come the equation
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or if the number of moles remains thesame
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.

You are watching: P1v1/t1=p2v2/t2

Boyle"s Law:

Boyle"s law examines the impact of changing volume on Pressure.To isolate these variables, temperature must remain constant.We can get rid of temperature indigenous both sides of the equation andwe areleft with P1V1= P2V2

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Sample Problem: A pistonwith a volume that gas the 1.0 m3 at 100 kPa is compressed come afinalvolume the 0.50 m3. Whatis the final 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 animation on rearranging the an unified gas lawCharles"s Law

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

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so Charles"s law is
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Sample problem: A piston through a volume the gas of1.0 m3at 273 K is cooled to a temperature of 136.5 K. Whatis the final volume? (Assume pressure is preserved 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 see what happens once you increasetemperature.Increasing temperature __________ pressure.

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

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Sample Problem: If yourtire is two liters and the initial press is 2 atm, what is the finalpressure when 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 also cancel out the volumes due to the fact that they execute 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