Gay lussac calculator

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The default setting is for 5 significant figures but you can change that by inputting another number in the box above.

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.

To calculate this value, follow these steps:

  1. Calculate the Gay-Lussac's law constant at atmospheric pressure and the boiling point of water (100 °C or 373 K):

    k = p₁/T₁ = 0.99 bar/373 K = 0.00265 bar/K

  2. Divide the pressure your cooker can reach by k:

    T₂ = p₂/k = (0.99 + 0.2) bar/0.00265 bar/K = 449 K (175 ºC)

  3. Notice that the excess temperature was:

    **ΔT = T₂ - T₁ = 175 ºC - 100 ºC = 75 ºC **

GAY-LUSSAC'S LAW CALCULATOR

P1= Pressure 1
T1= Temperature 1
P2= Pressure 2
T2= Temperature 2

A tool for calculating gas pressure and temperature

Gay-Lussac’s law, also known as the pressure-temperature law, is an important principle of thermodynamics that relates the pressure and temperature of a gas.

Additionally, it also generates a detailed report of the results, including a graph of the data and a summary of the calculations performed.
Some examples of calculations that can be performed using the Gay-Lussac’s Law Calculator include determining the pressure of a gas at a given temperature, finding the temperature of a gas given its pressure, and predicting how a change in pressure or temperature will affect the other variable.

Or, inversely, when it was filled during summer, did the pressure decrease when it cooled down? After some time it is cooled down to the point where the pressure drops to 1 atm. Take a look at these examples:

  • Tire pressure in different seasons – Have you ever inflated a tire during winter, only for it to be overinflated when the weather got warmer?

    In other words, Gay-Lussac's law tells us about the behavior of an ideal gas during an isochoric (constant-volume) process.

🙋 Want to know how ideal gas behaves? For example, if you wanted to check the relationship between the initial and the final pressure, the formula would become:

p₁ / p₂ = T₁ / T₂.

As we can see, the ratio of the initial and final temperatures is equal to the ratio of the initial and final pressures.

With this Gay-Lussac's law calculator, you can evaluate any one of these four parameters, provided you know the three other parameters.

At some point, the pressure is high enough to lift the lid, and the excess gas is released, the pressure is leveled, and the whole process starts over again and again...

  • Putting a hot can into cold water – This is a simple way of testing that Gay-Lussac's law is true if you don't believe us already. It states that the pressure of a gas is directly proportional to its absolute temperature, provided that the volume and number of particles are constant.

    If you are successful, the can will shrink, due to the internal temperature dropping, also causing the pressure inside to decrease.

    • FAQs

    What is Gay-Lussac's law?

    Gay-Lussac's law is a relationship between pressure and temperature in ideal gases and constant volume. 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).
    Before we continue, we must convert that temperature to an absolute scale.
    To change Fahrenheit to Rankine, we add 459.67 and so we get:
    T₁ = 60°F + 459.67 = 519.67 Rankine.
    P₂ is 1.1 atm and so we are ready to calculate T₂.
    Solving Gay-Lussac's Law for T₂ we get:
    T₂ = P₂ • T₁ ÷ P₁     T₂ = 1.1 atm • 519.67R ÷ .9 atm     T₂ = 635.15R

    Using the calculator, we click on the T2 button.
    We then enter the 3 numbers into the correct boxes then click "CALCULATE" and get our answer of 635.15 Rankine.

    This eliminates all formatting but it is better than seeing no output at all. We have to be aware that both problems are examples of real gases, whereas all of the formulas are only 100% accurate for ideal ones. For an ideal 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 state, equals a constant value:

    P / T = Constant

    The division of pressure by the temperature of the ideal gas in one state, equals the division of pressure by the temperature of the ideal gas in another state, as long as the gas volume and amount of gas do not change between the two states.

    P1 / T1 = P2 / T2

    The formulas used by this Gay-Lussac’s law calculator to determine each individual parameter are:

    P1 = P2 · T1 / T2

    T1 = T2 · P1 / P2

    P2 = P1 · T2 / T1

    T2 = T1 · P2 / P1

    Symbols

    • P1 = Pressure of the first gas state
    • T1 = Temperature of the first gas state
    • P2 = Pressure of the second gas state
    • T2 = Temperature of the second gas state

    P1

    This is the absolute pressure of the first gas state.

    T1

    This is the temperature of the first gas state.

    P2

    This is the absolute pressure of the second gas state.

    T2

    This is the temperature of the second gas state.

     The above formula is Gay-Lussac's Law named after the French chemist and physicist Joseph Louis Gay-Lussac (1778 - 1850).

    It makes use of the principles of Gay-Lussac’s law to ensure that the results are reliable and can handle a variety of input parameters to cater for specific needs. You can also work out the amount of gas in moles, depending on the volume of the container: check the last group!

    If you would like to learn more about moles, check out our mole calculator.

    Gay-Lussac's gas law examples

    How about we move on to solve some computational problems?

    1.

    gay lussac calculator

    Using the Gay-Lussac’s Law Calculator, you can input the initial pressure and temperature values, as well as the final temperature, and the calculator will compute the final pressure value.
    In conclusion, the Gay-Lussac’s Law Calculator is a powerful and versatile tool that can help students, teachers, and professionals perform calculations related to gas pressure and temperature quickly and accurately.

    However, thanks to advanced technology and the ever-growing capabilities of the internet, there are now many online calculators and tools available that make it easy for learners to perform these calculations. Upon inputting these parameters, the calculator uses the principles of Gay-Lussac’s law to compute the resulting pressure or temperature.

    If the temperature originally was 40°C, what was the original pressure? The law 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 word problem involving Gay-Lussac's Law will always give us 3 of the 4 variables.

    Just insert the three known values, and the last one will be computed instantly. Check out our ideal gas law calculator.

    Gay-Lussac's law formula

    Using the definition above, one form of the Gay-Lussac's law formula can be written in the following way:

    p₁ / T₁ = p₂ / T₂,

    where p₁ and T₁ are initial pressure and temperature, respectively.

    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".