Gay lussacs law calculator

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.

Using the Calculator

Example 1 (Solving for Final Pressure): Calculate \( P_2 \) for a gas in a rigid container with the following properties:

• Initial Pressure: \( P_1 = 100 \, \text{kPa} \);
• Initial Temperature: \( T_1 = 20 \, \text{°C} \);
• Final Temperature: \( T_2 = 400 \, \text{°C} \);
• Convert temperatures to Kelvin: \( T_1 = 20 + 273.15 = 293.15 \, \text{K} \), \( T_2 = 400 + 273.15 = 673.15 \, \text{K} \);
• Convert pressure to Pa: \( P_1 = 100 \times 1000 = 100000 \, \text{Pa} \);
• Final Pressure: \( P_2 = P_1 \times \frac{T_2}{T_1} = 100000 \times \frac{673.15}{293.15} \approx 229630 \, \text{Pa} \);
• Convert back to kPa: \( P_2 = 229630 / 1000 = 229.63000 \, \text{kPa} \);
• Result: \( P_2 = 229.63000 \, \text{kPa} \).

  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. This equation can be written as P/T = constant or P1/T1 = P2/T2, where P is pressure, T is temperature and subscripts 1 and 2 refer to two different states of the system.
  Calculating gas pressure and temperature using Gay-Lussac’s law can be quite challenging, as it involves complex mathematical equations and a thorough understanding of the principles of thermodynamics.

  For instance, suppose you have a gas at 25°C and 2 atm of pressure, and you want to know what the pressure would be if the temperature were raised to 50°C.

  Q: Why must temperature be in Kelvin?
  A: The law requires absolute temperature (Kelvin) because it is directly proportional to pressure. It helps them understand pressure-temperature relationships without complex algebraic manipulations.

  HVAC Technicians

  Heating and cooling specialists determine gas pressures at different operating temperatures.

  Enter ‘x’ if initial pressure is your unknown parameter.

  Step 4: Input Initial Temperature Information

  Enter the starting temperature in the “Initial Temperature (Ti)” field using Kelvin units. 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.

  2. This calculator determines any missing parameter when three values are known.

  Eliminates Algebraic Manipulation Errors

  Manual rearrangement of gas law formulas often introduces mathematical mistakes. Whether you are studying physics, chemistry, or any other field that requires an understanding of thermodynamics, this calculator can be an invaluable aid in your work.