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Gay-Lussac Law (final temperature)

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T2=P2T1P1
Initial Pressure
Final Pressure
Initial Temperature
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This equation computes the final temperature of an ideal gas after a pressure change occurs; in other words, if you know the initial state of a gas, you can determine the final state using the pressure-temperature law for an ideal gas known as Gay-Lussac's Law.

INPUTS

To compute the final temperature, you input the following variable values: 

  • Final Pressure - The resultant pressure of the ideal gas
  • Initial Pressure - The initial measured pressure of the ideal gas
  • Initial Temperature - The measured starting temperature of the ideal gas

NOTES

The pressure- volume relationship of Gay-Lussac's Law is a simple equation expressing the proportional relationship between temperature and pressure of an ideal gas.  This is often referred to as Amontons' Law of of Pressure-Temperature. The law simply states that as temperature increases so does pressure as long as the quantities for volume and mass remain constant.

Mathematically, this law is represented by: P1T2=P2T1

Since Thermodynamics, is concerned with heat and its relation to energy and work, relating such attributes of gases as temperature, internal energy, entropy, and pressure, this law applies to both Thermodynamics and Chemistry.

The Gay-Lussac Law applies to Thermodynamics as well as a number of topics in science and engineering, in physics,  chemistry, chemical engineering, aerospace engineering, mechanical engineering, cell biology, biomedical engineering, and materials sciences.