Final Temperature Of Gas By Ideal Gas Law Calculator

Ideal Gas Law Equation:

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

Final Pressure of Gas (P_fin):

Pascal

Final Volume of Gas (V₂):

m³

Initial Pressure of Gas (P_i):

Pascal

Initial Volume of Gas (V_i):

m³

Initial Temperature of Gas (T₁):

Kelvin

Final Temperature of Gas (T₂):

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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 number of moles of an ideal gas. It provides a mathematical framework for predicting how gases behave under different conditions.

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law equation:

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

Where:

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

Explanation: The equation calculates the final temperature of an ideal gas when pressure and volume change, based on the principle that PV/T remains constant for a given amount of gas.

3. Importance of Temperature Calculation

Details: Accurate temperature calculation is crucial for understanding gas behavior in various applications, including chemical reactions, engineering systems, meteorological studies, and industrial processes where gas properties are critical.

4. Using the Calculator

Tips: Enter all values in the specified units (Pascal for pressure, m³ for volume, Kelvin for temperature). All values must be positive and non-zero. The calculator assumes ideal gas behavior and constant amount of gas.

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 experience no intermolecular forces.

Q2: When is the ideal gas law applicable?
A: The ideal gas law works well for most 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, low temperatures, and for gases with strong intermolecular forces or large molecular sizes.

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

Q5: Can this calculator be used for real gases?
A: For real gases under extreme conditions, more complex equations of state (like Van der Waals equation) may be needed for accurate results.