1. What is the Pressure-Temperature Law?

The Pressure-Temperature Law (Gay-Lussac's Law) states that the pressure of a gas is directly proportional to its absolute temperature when volume is held constant. This is expressed as P₁/T₁ = P₂/T₂.

2. How Does the Calculator Work?

The calculator uses the Pressure-Temperature equation:

Where:

• \( P_1 \) — Initial pressure (Pa)
• \( T_1 \) — Initial temperature (K)
• \( T_2 \) — Final temperature (K)
• \( P_2 \) — Final pressure (Pa)

Explanation: The equation shows that as temperature increases at constant volume, pressure increases proportionally, and vice versa.

3. Importance of Pressure-Temperature Relationship

Details: This relationship is crucial in understanding gas behavior in closed systems, such as pressurized containers, tires, and industrial processes.

4. Using the Calculator

Tips: Enter all values in the required units (pressure in Pascals, temperature in Kelvin). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why must temperature be in Kelvin?
A: Kelvin is an absolute temperature scale where 0 K represents absolute zero, making it necessary for gas law calculations.

Q2: What if the volume changes?
A: This calculator assumes constant volume. For changing volume, use the combined gas law or ideal gas law.

Q3: Can I use other pressure units?
A: The calculator uses Pascals, but you can convert from other units (1 atm = 101325 Pa, 1 bar = 100000 Pa).

Q4: What are typical applications?
A: This law applies to sealed containers, pressure cookers, and any system where gas is confined at varying temperatures.

Q5: Does this work for real gases?
A: It works best for ideal gases at moderate pressures and temperatures. Real gases may show deviations.