(or Pressure Law Calculator)
Scroll to the bottom for instructions and 4 examples. discovered by French inventor and physicist Guillaume Amontons (1663-1705).
The above formula is Gay-Lussac's Law named after the French chemist and physicist Joseph Louis Gay-Lussac (1778 - 1850).
The law states that the pressure of a
In other words, when temperature increases, pressure increases.
every word problem involving Gay-Lussac's Law will always give us 3 of the 4
variables. Of those 3 variables, we have to determine which two "pair up" (or which two were measured at the same time). To pair these
correctly, these get designated as "P1" and "T1" or "P2" and "T2" but never as "P1" and "T2" or "P2" and "T1".
1) The temperature of a gas is 30 degrees Celsius and its pressure is 760 torr. If the temperature originally was 40°C, what was the original pressure?
The two variables that were measured at the same time (and can get "paired up") are 30°C (T₂) and 760 torr (P₂).
Solving Gay-Lussac's Law for P₁ we get:
Using the calculator, we click on the P1 button.
2) A gas has a temperature of 300 Kelvin and a pressure of 1.5 atmospheres. If the previous pressure was 1.2 atmospheres, what was the original temperature?
Pairing up and classifying the data we have T₂ = 300K P₂ = 1.5 atm P₁ = 1.2 atm
and we must solve for T₁.
Using the calculator, we click on the T1 button.
3)
A gas with 2 atmospheres of pressure has a temperature of 250 Kelvin.
The two items of data which "pair up" are 2 atmospheres (P₁) and 250 K (T₁).
Using the calculator, we click on the P2 button. 4) A gas at a temperature of 60° Fahrenheit has a pressure of .9 atmospheres. What is the new temperature if the pressure increases to 1.1 atm?
The two variables that were measured at the same time and which can get "paired up" are 60°F (T₁) and .9 atm (P₁).
Using the calculator, we click on the T2 button.
Answers are displayed in scientific notation and for easier readability, numbers between .001 and 1,000 will be displayed in standard format (with the same number of significant figures.) The answers should display properly but there are a few browsers that will show no output whatsoever. If so, enter a zero
in the box above. This eliminates all formatting but it is better than seeing no
output at all.
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