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 calculator helps determine the final pressure when temperature changes occur at constant volume.

2. How Does the Calculator Work?

The calculator uses the Pressure-Temperature equation:

Where:

• \( P_1 \) — Initial pressure (Pascals)
• \( T_1 \) — Initial temperature (Kelvin)
• \( T_2 \) — Final temperature (Kelvin)
• \( P_2 \) — Final pressure (Pascals)

Explanation: The equation shows that pressure increases proportionally with temperature when volume remains constant, as described by Gay-Lussac's Law.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for understanding gas behavior in closed systems, designing pressure vessels, and predicting system responses to temperature changes.

4. Using the Calculator

Tips: Enter initial pressure in Pascals, temperatures in Kelvin. All values must be positive numbers. Temperature must be in absolute scale (Kelvin).

5. Frequently Asked Questions (FAQ)

Q1: Why must temperature be in Kelvin?
A: The relationship is based on absolute temperature. Using Celsius would give incorrect results as it's a relative scale with negative values possible.

Q2: What if volume isn't constant?
A: This calculator only applies to constant volume situations. For changing volume, use the Combined Gas Law or Ideal Gas Law.

Q3: What are typical applications?
A: Used in engineering for pressure vessel design, tire pressure monitoring, and understanding weather systems.

Q4: Does this work for all gases?
A: It works best for ideal gases at moderate pressures and temperatures. Real gases may deviate slightly.

Q5: How to convert Celsius to Kelvin?
A: Simply add 273.15 to the Celsius temperature to get Kelvin.