Final Pressure Calculator With Temperature And Volume

Ideal Gas Law Equation:

\[ P_2 = P_1 \times \left(\frac{V_1}{V_2}\right) \times \left(\frac{T_2}{T_1}\right) \]

Initial Pressure (P1):

Initial Volume (V1):

m³

Final Volume (V2):

m³

Initial Temperature (T1):

Final Temperature (T2):

Final Pressure (P2):

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1. What is the Ideal Gas Law Equation?

The ideal gas law describes the relationship between pressure, volume, and temperature of an ideal gas. This calculator specifically uses the form that calculates final pressure when volume and temperature change.

2. How Does the Calculator Work?

The calculator uses the ideal gas law equation:

\[ P_2 = P_1 \times \left(\frac{V_1}{V_2}\right) \times \left(\frac{T_2}{T_1}\right) \]

Where:

\( P_2 \) — Final pressure (Pa)
\( P_1 \) — Initial pressure (Pa)
\( V_1 \) — Initial volume (m³)
\( V_2 \) — Final volume (m³)
\( T_1 \) — Initial temperature (K)
\( T_2 \) — Final temperature (K)

Explanation: The equation shows that pressure is inversely proportional to volume and directly proportional to temperature (in Kelvin).

3. Importance of Pressure Calculation

Details: Calculating final pressure is crucial in various engineering and scientific applications, including gas systems, thermodynamics, and chemical reactions.

4. Using the Calculator

Tips: Enter all values in the correct units. Pressure in Pascals (Pa), volume in cubic meters (m³), and temperature in Kelvin (K). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal gas?
A: An ideal gas is a theoretical gas composed of many randomly moving point particles that interact only through elastic collisions.

Q2: When does this equation not apply?
A: The equation becomes less accurate at high pressures or low temperatures where real gas behavior deviates from ideal.

Q3: Why must temperature be in Kelvin?
A: Kelvin is an absolute temperature scale where 0 K is absolute zero, making it necessary for gas law calculations.

Q4: Can I use other units?
A: Yes, but all units must be consistent. Convert all values to the same unit system before calculation.

Q5: What if volume or temperature is constant?
A: If volume is constant, the equation simplifies to \( P_2 = P_1 \times (T_2/T_1) \). If temperature is constant, it becomes \( P_2 = P_1 \times (V_1/V_2) \) (Boyle's Law).