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Ideal Gas Law Calculator

Ideal Gas Law:

\[ PV = nRT \]

Pa
moles
K

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1. What is the Ideal Gas Law?

The Ideal Gas Law (PV = nRT) describes the relationship between pressure (P), volume (V), amount of substance (n), and temperature (T) of an ideal gas. The constant R is the universal gas constant (8.314 J/mol·K).

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law equation:

\[ PV = nRT \]

Where:

Explanation: The equation relates the four variables that describe the state of an ideal gas. You can solve for any one variable if the other three are known.

3. Importance of the Ideal Gas Law

Details: The Ideal Gas Law is fundamental in chemistry and physics for predicting the behavior of gases under different conditions. It's used in engineering, meteorology, and various scientific calculations.

4. Using the Calculator

Tips: Enter any three known variables to calculate the fourth. All values must be positive numbers. Temperature must be in Kelvin (K = °C + 273.15).

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal gas?
A: An ideal gas is a theoretical gas whose molecules occupy negligible space and have no interactions, obeying the Ideal Gas Law exactly.

Q2: When does the Ideal Gas Law not apply?
A: At high pressures or low temperatures where real gases deviate from ideal behavior due to molecular interactions and finite molecular size.

Q3: What are common units for the Ideal Gas Law?
A: SI units are Pascals (P), cubic meters (V), moles (n), and Kelvin (T). Other unit systems require different values of R.

Q4: How do I convert to these units?
A: Common conversions: 1 atm = 101325 Pa, 1 L = 0.001 m³, °C to K = +273.15

Q5: What is the universal gas constant R?
A: R = 8.314 J/(mol·K) in SI units. Other values: 0.08206 L·atm/(mol·K) or 62.36 L·torr/(mol·K).

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