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Ideal Gas Law Calculator

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Ideal Gas Law Calculator

Ideal Gas Law Calculator

Ideal Gas Law Calculator: The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas. It can be used to calculate the number of moles of a gas in a system if the pressure, volume, and temperature are known.

Formula: pV = nRT

Where:

  • p = Pressure (Pa)
  • V = Volume (m³)
  • n = Moles of Gas (mol)
  • R = Ideal Gas Constant = 8.3144598 J/(mol·K)
  • T = Temperature (K)

Calculate Moles of Gas

Temperature (K)
Pressure (Pa)
Volume (m³)

Results

Moles of Gas (n) -

How to use the Ideal Gas Law Calculator

To use the Ideal Gas Law Calculator, input the values for Temperature in Kelvin (K), Pressure in Pascals (Pa), and Volume in cubic meters (m³). Click the "Calculate" button to determine the number of moles of gas. If you wish to start over, click the "Clear" button. The result will automatically be displayed once the inputs are complete.

Formula for Ideal Gas Law

The formula for the Ideal Gas Law is pV = nRT, where p is the pressure in Pascals, V is the volume in cubic meters, n is the number of moles of gas, R is the ideal gas constant (8.3144598 J/mol·K), and T is the temperature in Kelvin. This formula is used to calculate the number of moles of gas when other variables are known.

FAQ

1. What is the Ideal Gas Law?

The Ideal Gas Law describes the relationship between pressure, volume, temperature, and the number of moles of gas. It assumes that gases behave ideally, meaning their molecules do not interact with each other except for elastic collisions. This law is useful for determining unknown gas properties when other properties are given.

2. What are the units used in the Ideal Gas Law?

In the Ideal Gas Law, pressure (p) is measured in Pascals (Pa), volume (V) is measured in cubic meters (m³), temperature (T) in Kelvin (K), and the number of moles (n) in moles (mol). The gas constant R is 8.3144598 J/(mol·K), which ensures the units are compatible with each other.

3. How do you calculate moles of gas using the Ideal Gas Law?

To calculate the moles of gas (n), rearrange the Ideal Gas Law formula: n = pV / RT. Enter the pressure in Pascals (Pa), the volume in cubic meters (m³), the temperature in Kelvin (K), and the gas constant R (8.3144598 J/(mol·K)) to find the number of moles of gas. Input the values into the calculator to get the result.

4. What happens if the gas does not behave ideally?

Real gases do not always follow the Ideal Gas Law, especially at very high pressures or low temperatures. Under such conditions, intermolecular forces and the size of the gas molecules become significant, leading to deviations from ideal behavior. The van der Waals equation can be used for real gases, taking these factors into account.

5. How accurate is the Ideal Gas Law?

The Ideal Gas Law provides an accurate model for gases under low pressure and high temperature, where intermolecular forces are negligible. However, at high pressures or very low temperatures, deviations from ideal behavior can occur. Despite this, the Ideal Gas Law is widely used in chemistry and physics due to its simplicity and usefulness in many practical scenarios.