## Gay Lussac's Law

Gay Lussac's Law states that at a constant Volume as pressure of a gas increases, the temperature will increase proportionally.
This can be represented mathematically by the equation P = kT. Plotting temperature against pressure yields a line

## Example

A 30.0 L sample of nitrogen inside a rigid, metal container at 20.0 °C is placed inside an oven whose temperature is 50.0 °C. The pressure inside the container at 20.0 °C was at 3.00 atm. What is the pressure of the nitrogen after its temperature is increased?

Using Gay Lussac's Law:

PInitial /TInitial = PFinal /TFinal

3.00 atm / 293 °K = x atm / 323 °K

x = 3.31 atm

Using Gay Lussac's Law:

PInitial /TInitial = PFinal /TFinal

3.00 atm / 293 °K = x atm / 323 °K

x = 3.31 atm

## Practice Problems

1. Andrew bought a bag of chips in Tahoe at a pressure of 650 torr and a temperature of 50.0 °F . Andrew then went with his friends, Brian and Gabe, back to San Ramon. The weather forecast says that San Ramon has a temperature of 77.0 °F. If the bag has a maximum pressure of 1.10 atm, will the bag pop when they arrive back in San Ramon?

2. Gabby is coming back from Tahoe to San Ramon. He claims that he gets light headed if the pressure outside changes by 0.2atm to 0.4atm, but if the pressure changes by less than 0.2atm or more 0.4atm, then he won't become light headed. Given that Tahoe has a pressure of 675 mm Hg and a temperature of 15°C , and San Ramon with a temperature of 40°C, will Andrew become light headed?

3. A pressure valve barometer measured a rigid flask of 1700 torrs (at the end) and a temperature probe measured the temperature of the final temperature that was 3x hotter than the original starting temperature of 150°C . What is the range of the pressure if the barometer if it is only 95% accurate.

4. A pressure pump pumps 5L gas per second. A reading of the container was measured after so many seconds. The temperature from 1 second to 7 seconds is 400°C . What is the initial Temperature and what is the change in temperatuer if the change is the same per second?

2. Gabby is coming back from Tahoe to San Ramon. He claims that he gets light headed if the pressure outside changes by 0.2atm to 0.4atm, but if the pressure changes by less than 0.2atm or more 0.4atm, then he won't become light headed. Given that Tahoe has a pressure of 675 mm Hg and a temperature of 15°C , and San Ramon with a temperature of 40°C, will Andrew become light headed?

3. A pressure valve barometer measured a rigid flask of 1700 torrs (at the end) and a temperature probe measured the temperature of the final temperature that was 3x hotter than the original starting temperature of 150°C . What is the range of the pressure if the barometer if it is only 95% accurate.

4. A pressure pump pumps 5L gas per second. A reading of the container was measured after so many seconds. The temperature from 1 second to 7 seconds is 400°C . What is the initial Temperature and what is the change in temperatuer if the change is the same per second?