**Instructions:**

- Enter values for Pressure, Volume, and Temperature along with their respective units.
- Click "Calculate" to calculate the result based on the Ideal Gas Law.
- Click "Clear" to clear the input fields and results.
- Click "Copy" to copy the result to the clipboard.

**Results:**

**Calculation and Explanation:**

**Calculation History:**

The Ideal Gas Law is a fundamental principle in the study of gases, providing a mathematical relationship between pressure (P), volume (V), and temperature (T) of an ideal gas. The law is expressed as:

PV = nRT

Where:

- P represents pressure (in Pascals, Pa).
- V denotes volume (in cubic meters, m³).
- n is the number of moles of gas.
- R is the universal gas constant (approximately 8.314 J/(mol·K)).
- T represents temperature (in Kelvin, K).

This law is based on several assumptions, including that the gas particles are point masses with no volume and that there are no intermolecular forces between them. While ideal gases do not exist in reality, this law provides a close approximation for real gases under certain conditions.

## Related Formulae

### Ideal Gas Law Rearranged

**Molar Mass (M)**: M = m/n Where M is the molar mass (in g/mol), m is the mass of the gas (in grams), and n is the number of moles.**Density (ρ)**: ρ = m/V Where ρ is the density (in kg/m³), m is the mass (in kg), and V is the volume (in m³).**Specific Gas Constant (Rs)**: Rs = R/M Where Rs is the specific gas constant (in J/(kg·K)) and M is the molar mass (in g/mol).

### Combined Gas Law

The combined gas law relates initial and final conditions of a gas sample:

P1V1/T1 = P2V2/T2

Where subscripts 1 and 2 denote initial and final conditions, respectively.

### Ideal Gas Law for Partial Pressure

When dealing with a mixture of gases, the partial pressure of each gas component can be calculated using Dalton’s Law:

Ptotal = P1 + P2 + … + Pn

Where Ptotal is the total pressure, and P1, P2, …, Pn are the partial pressures of individual gas components.

## Benefits of the Ideal Gas Law Calculator

### 1. Quick and Accurate Calculations

The Ideal Gas Law Calculator simplifies complex gas calculations, making it easy to determine various gas properties, including pressure, volume, temperature, and molar mass. This saves time and minimizes the risk of errors associated with manual calculations.

### 2. Educational Tool

The tool serves as an educational resource for students and educators, aiding in the understanding of fundamental concepts in thermodynamics and chemistry. It allows students to experiment with different scenarios and gain a deeper insight into gas behavior.

### 3. Scientific Research

Researchers in the fields of chemistry, physics, and engineering benefit from the Ideal Gas Law Calculator when working on projects involving gases. It aids in experimental design and data analysis, enabling scientists to make informed conclusions about gas-related phenomena.

### 4. Industrial Applications

In industries such as manufacturing, petrochemical, and pharmaceuticals, the Ideal Gas Law Calculator is crucial for process optimization and quality control. Engineers and technicians use it to ensure that gases are handled efficiently and safely in various industrial processes.

## Interesting Facts about the Ideal Gas Law

**Real Gases Deviate from Ideality**: Real gases deviate from ideal behavior at high pressures and low temperatures. This deviation is described by the van der Waals equation, which introduces corrections to the ideal gas law.**Absolute Zero Temperature**: The ideal gas law predicts that at absolute zero temperature (0 K), the volume of an ideal gas should be zero. This concept is known as absolute zero and serves as the lowest possible temperature on the Kelvin scale.**Avogadro’s Number**: The number of moles (n) in the ideal gas law is related to Avogadro’s number (approximately 6.022 × 10^23). This number represents the number of atoms, ions, or molecules in one mole of a substance.**Relationship to Boyle’s and Charles’s Laws**: The ideal gas law unifies Boyle’s law (pressure-volume relationship) and Charles’s law (temperature-volume relationship) into a single equation that encompasses all gas behavior.

## Conclusion

The Ideal Gas Law Calculator is a versatile and invaluable tool in the fields of science and engineering. It simplifies complex gas calculations, aids in education and research, and finds applications in various industrial processes. Despite the ideal gas law’s simplifications, it provides a fundamental framework for understanding and predicting the behavior of gases under a wide range of conditions.

In conclusion, the Ideal Gas Law Calculator has a profound impact on scientific progress, making it an essential tool for anyone working with gases in their professional or academic pursuits.

**References**

- Atkins, P., & de Paula, J. (2018). “Atkins’ Physical Chemistry”. Oxford University Press.
- Cengel, Y. A., & Boles, M. A. (2018). “Thermodynamics: An Engineering Approach”. McGraw-Hill Education.
- Zumdahl, S. S., & DeCoste, D. J. (2016). “Chemical Principles”. Cengage Learning.