Ideal Gas Law Calculator Pv

Ideal Gas Law:

\[ P = \frac{n \times R \times T}{V} \]

Pressure (P):

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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), number of moles (n), and temperature (T) of an ideal gas. This calculator solves for pressure (P = nRT/V).

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law equation:

\[ P = \frac{n \times R \times T}{V} \]

Where:

\( P \) — Pressure in Pascals (Pa)
\( n \) — Number of moles (dimensionless)
\( R \) — Gas constant (8.314 J/mol·K)
\( T \) — Temperature in Kelvin (K)
\( V \) — Volume in cubic meters (m³)

Explanation: The equation calculates the pressure exerted by an ideal gas based on the amount of gas, temperature, and volume of the container.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for chemical engineering, thermodynamics, and understanding gas behavior under different conditions.

4. Using the Calculator

Tips: Enter number of moles, temperature in Kelvin, and volume in cubic meters. 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 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: How to convert Celsius to Kelvin?
A: Add 273.15 to the Celsius temperature to get Kelvin (K = °C + 273.15).

Q4: What are common units for pressure?
A: Pascals (Pa) are SI units, but atmospheres (atm), mmHg (torr), and psi are also commonly used.

Q5: Can I use this for mixtures of gases?
A: Yes, if you use the total number of moles of all gas components combined.