How to Calculate Ideal Gas Law? A Quick Formula

Four laws were combined to arrive at the ideal gas law – Boyle’s Law, Gay-Lussac’s Law, Charles’ Law, and Avogadro’s Law. We’ll go into each of these before we explain what ideal gas law is and how to calculate it.

How to Calculate Ideal Gas Law?

Boyle’s Law states that gas volume at constant temperature is inversely proportional to gas pressure. Gay-Lussac’s Lawstates that gas temperature at constant volume is directly proportional to gas pressure.

Charles’ Law stipulates that gas temperature at constant pressure is directly proportional to gas volume, and according to Avogadro’s Law, gas volume is directly proportional to mole number at constant pressure and temperature.

An ideal gas law calculator will be very helpful in establishingideal gas properties subject to changes of volume, pressure, or temperature.

What is an ideal gas?

Any gas comprised of numerous molecules that move around randomly, but don’t interact with the exception of colliding, could be an ideal gas.

However, there are further requirements to fulfill. All collisions between the gas particles must be perfectly elastic, and the particles have to comply with Newton’s laws of motion.

Ideal gas constant

The constant of gas, expressed by the symbol R below, is also sometimes referred to as the universal constant or molar. It is 8.3144598 J/(mol * K).

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Frequently, the gas constant is defined as the product of Avogadro number (number of atoms in a mole of substance) and Boltzmann’s constant k (it relates the kinetic energy and temperature of a gas):

R = k/N = 1.38064852)*10^(-23) J/K /(6.022140857 * 10^23 1/mol) = 8.3144598 J/(mol * K)

Ideal gas law equation

Ideal gas properties are all part of one equation of the form pV = nRT, where:

  • V is the gas volume measured in m^3,
  • T is the gas temperature measured in Kelvin,
  • p is the gas pressure measured in Pa,
  • n is the substance amount, measured in moles, and
  • R is the ideal gas constant.

To establish what some of these values are, justuse an ideal gas law calculator to enter the other ones in. Let’s say you want to calculate the volume of 20 moles of a gas in the temperature 200 Kunder the pressure of 1234hPa. This is the respective equation for this:

V = nRT/p = 20 * 8.3144598 * 200 / 123400 = your result

Calculate Ideal Gas Law: Finding the Temperature

To find the temperature or any other values or calculate ideal gas law, simply enter your data in the free calculator.You’ll only need to reverse the above equation so you get the temperature if that’s what you want to calculate.

It is much easier with the free calculator, but it’s not impossible to calculate without it either. Here is the original formula, where we replace the temperature with X, but you’d need to know V (the gas volume).

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V = 20 * 8.3144598 * X / 123400

The temperature would be the volume divided by the result of 20 x 8.31 x 123400.

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