Final Pressure Of Gas By Ideal Gas Law Calculator

Ideal Gas Law Equation:

\[ P_{fin} = \frac{(P_i \times V_i)}{T_1} \times \frac{T_2}{V_2} \]

Initial Pressure of Gas (Pi):

Pascal

Initial Volume of Gas (Vi):

m³

Initial Temperature of Gas (T1):

Kelvin

Final Temperature of Gas (T2):

Kelvin

Final Volume of Gas (V2):

m³

Final Pressure of Gas (Pfin):

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1. What is the Ideal Gas Law?

The Ideal Gas Law is a fundamental equation in thermodynamics that describes the relationship between pressure, volume, temperature, and the amount of gas. It provides a mathematical model for predicting the behavior of ideal gases under various conditions.

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law equation:

\[ P_{fin} = \frac{(P_i \times V_i)}{T_1} \times \frac{T_2}{V_2} \]

Where:

\( P_{fin} \) — Final pressure of gas (Pascal)
\( P_i \) — Initial pressure of gas (Pascal)
\( V_i \) — Initial volume of gas (m³)
\( T_1 \) — Initial temperature of gas (Kelvin)
\( T_2 \) — Final temperature of gas (Kelvin)
\( V_2 \) — Final volume of gas (m³)

Explanation: This equation calculates the final pressure of a gas when its volume and temperature change, assuming the amount of gas remains constant.

3. Importance of Final Pressure Calculation

Details: Calculating final pressure is crucial for various applications including engineering systems, chemical processes, gas storage, and understanding thermodynamic behavior of gases in different conditions.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values. Temperature must be in Kelvin (convert from Celsius by adding 273.15).

5. Frequently Asked Questions (FAQ)

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

Q2: When is the ideal gas law applicable?
A: The ideal gas law works well for many gases at high temperatures and low pressures where intermolecular forces are negligible.

Q3: What are the limitations of the ideal gas law?
A: The law becomes less accurate at high pressures and low temperatures, and for gases with strong intermolecular forces.

Q4: Why must temperature be in Kelvin?
A: Kelvin is an absolute temperature scale where 0 represents absolute zero, making it necessary for gas law calculations.

Q5: Can this calculator be used for real gases?
A: For approximate calculations, yes. For precise calculations with real gases, more complex equations of state should be used.