Gay lussacs law calculator

Combined Gas Law Calculator

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Change the answer mode for this tool by selecting P1 gas pressure, V1 gas volume, T1 gas temperature, P2 gas pressure, V2 gas volume or T2 gas temperature as the parameter to calculate instead



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User Guide

This tool will calculate any parameter from the equation for the combined gas law P₁V₁/T₁=P₂V₂/T₂ which is derived by combining Boyle’s, Charles’ and Gay-Lussac’s law, and includes P1 gas pressure, V1 gas volume, T1 gas temperature, P2 gas pressure, V2 gas volume and T2 gas temperature.

The together gas law explains that for an ideal gas, the absolute pressure multiplied by the volume of the gas is directly proportional to the gas temperature, if the amount of gas remains constant.

Formulas

The combined gas law is explained with math in the following ways.

The pressure multiplied by the volume of an ideal gas is proportional to its temperature:

P · V ∝ T

The pressure multiplied with the volu



The above formula is Gay-Lussac's Commandment named after the French chemist and physicist Joseph Louis Gay-Lussac (1778 - 1850). The rule states that the pressure of a fixed mass of gas at a constant volume is directly proportional to its absolute temperature.

In other words, when temperature increases, pressure increases.
When pressure decreases, temperature decreases.


Similar to the calculations with Boyle's Law or Charles' Law, every synonyms problem involving Gay-Lussac's Law will always give us 3 of the 4 variables. Of those 3 variables, we have to decide which two "pair up" (or which two were measured at the matching 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).
Yes, we could contain classified these as T₁ and P₁ but either way, they are associated properly.
We are told

Gay-Lussac's Law Calculator

Formula

Pi/Ti = Pf/Tf

Or

PiTf = PfTi

Where,
Pi = initial pressure
Ti = initial temperature
Pf = final pressure
Tf= final temperature

n other words, when temperature increases, pressure increases.
When pressure decreases, temperature decreases.

Gay-Lussac's law is an ideal gas law where at constant volume; the pressure of an utopian gas is directly proportional to its absolute temperature. In other words, the law states the principle that, for relatively depressed pressures, the density of an ideal gas at constant pressure varies inversely with the absolute temperature of the gas.

Example:
Estimate and find the temperature of the gas which has a pressure of 25 kPa.
Initial Pressure (Pi) = 25 kPa
Initial Temperature (Ti) = 5 K
Final Pressure (Pf) = 15 kPa

Solution:
Apply Formula:
Pi/Ti = Pf/Tf
Final Temperature (Tf) = 3K

Gay-Lussac’s Law Calculator

Click rescue settings to reload page with unusual web page deal with for bookmarking and sharing the current tool settings

✕ transparent settings

Change the acknowledge mode for this tool by selecting P1 gas pressure, T1 gas temperature, P2 gas pressure or T2 gas temperature as the parameter to reckon instead



Featured absolute pressure measurement products

Related Tools

User Guide

This tool will calculate any parameter from the equation defined by Gay-Lussac’s law P₁/T₁=P₂/T₂, which includes  the P1 gas pressure, T1 gas temperature, P2 gas pressure and T2 gas temperature.

Avogadro’s law states that the absolute pressure of an perfect gas will vary in direct proportion to the variation in absolute temperature of the gas. For an perfect gas, the pressure of the gas is directly proportional to the temperature of the gas, as long as the volume and amount of gas remains constant.

Formulas

Gay Lussac’s Law is explained with math in the following ways.

The pressure of an ideal gas is proportional to the temperature of the gas:

P ∝ T

The pressure divided by the temperature of the gas in a given articulate, equals a