Final Volume Calculator

Ideal Gas Law Equation:

\[ V_2 = V_1 \times \frac{T_2}{T_1} \times \frac{P_1}{P_2} \]

Initial Volume (V₁):

m³

Initial Temperature (T₁):

Final Temperature (T₂):

Initial Pressure (P₁):

Final Pressure (P₂):

Final Volume (V₂):

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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 uses the combined gas law to determine how volume changes with temperature and pressure.

2. How Does the Calculator Work?

The calculator uses the combined gas law equation:

\[ V_2 = V_1 \times \frac{T_2}{T_1} \times \frac{P_1}{P_2} \]

Where:

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

Explanation: The equation shows that volume is directly proportional to temperature and inversely proportional to pressure when the amount of gas is constant.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for gas-related processes in chemistry, physics, engineering, and industrial applications where temperature and pressure changes occur.

4. Using the Calculator

Tips: Enter all values in the correct units (m³ for volume, K for temperature, Pa for pressure). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal gas?
A: An ideal gas is a theoretical gas that perfectly follows the gas laws, with particles that have no volume and no intermolecular forces.

Q2: When is this equation most accurate?
A: The equation works best at high temperatures and low pressures where real gases behave most like ideal gases.

Q3: What if I have different units?
A: Convert all values to the required units (m³, K, Pa) before calculation. Temperature must always be in Kelvin.

Q4: Does this work for liquids?
A: No, this equation is only for gases. Liquids have much smaller volume changes with temperature and pressure.

Q5: What about changing amount of gas?
A: This calculator assumes constant amount of gas. For changing amounts, use the full ideal gas law PV = nRT.