Temperature and Pressure Gay-Lussacs Law

Gay-Lussac s Law (named cifter the 19th-century French scientist Joseph-Louis Gay-Lussac) deals with the relationship between the pressure and temperature of a gas if its volume and amount are held constcmt. Imt ine, for example, that you have a metal tank of gas. The tank has a certain volume, cmd the gas inside has a certain pressure. If you heat the tcmk, you increase the kinetic energy of the gas particles. So they re now moving much fcister, cmd they re hitting the inside walls of the tank not only more often but also with more force. The pressure has increased. 

Gay-Lussac s Law says that the pressure is directly proportional to the Kelvin temperature. Mathematically, Gay-Lussac s Law looks like this  

Consider a gas at a certain Kelvin temperature and pressure (7j and Pj), with the conditions being changed to a new temperature and pressure (T and P  

If you have a tank of gets at 800 torr pressure and a temperature of 250 Kelvin, and it s heated to 400 Kelvin, what s the new pressure Starting with P /T = P2IT2, multiply both sides by 72 so you can solve for P - 

This is a reasonable answer because if you heat the tank, the pressure should increase. 

---