Chemistry Calculators ▶ Ideal Gas Law Calculator
A free and best ideal gas law calculator that calculates the unknown measurable properties of the ideal gas law equation (PV = nRT). The ideal gas calculator uses the combined gas laws formula to find the variable’s value of the ideal gas equation.
So, give a thorough read to acquire the features of ideal gas law, how to calculate ideal gas law with ideal gas law equation calculator and manually, applications of an ideal gas, and much more!
So, first begins with the basic definition of ideal gas law!
Many unsystematically moving particles that interact with each other by mean of elastic collision and follows a specific law, an elementary equation, and is responsive to examination known as an ideal gas. In general, a gas can act as ideal if the temperature is high and pressure is low as under such condition potential energy becomes less significant as compared to the kinetic energy. According to the IUPAC, a single mole of an ideal gas displays a capacity of 22.710947(13) liters under the standard temperature and pressure conditions.
Also, this free chemistry mole fraction calculator allows you to find the mole fraction, moles of solvent, and moles of solute for the given parameters.
The free and best mole fraction calculator helps you to calculates the mole fraction, moles of solute, and moles of solvent according to the given inputs.
It follows an elementary calculation that is recognized as the ideal gas law equation: PV = nRT. Our ideal gas law formula calculator uses these variables (n, T, P, V), and constant (R) while doing calculations.
This ideal gas law calculator follows the ideal gas equation, therefore, it is also known as PV = NRT calculator.
Furthermore, there are certain rules known as ideal gas laws. They are:
At very low temperatures and higher pressure, the ideal gas model fails as intermolecular forces and molecular size turn out to be more significant. It also flops for heavyweight gases; such as observe in many refrigerants.
You can try an online combined gas law calculator that uses a combination of different gas law formula to determine the unknown measurable properties of the ideal gas equation.
Thankfully, you come to know that the ideal gas law equation can be derived from the gas that we discussed above. An online ideal gas law equation calculator also uses the combination of these three gas laws to calculate the unknown variables of ideal gas law.
From Boyle’s law, we know : P∝1/V
From Charle’s law, we know: V∝T
From Avogadro’s Law, we know: V∝n
So, by combining the above 3 laws, we will get:
V∝ nT/P
Now, this can be rearranged as:
V = R × n × T / P
Or
PV = nRT, where R is referred to as the Gas constant.
So, simply enter the know values into pv=nrt calculator to calculate the unknown values of ideal gas law variables.
The free ideal gas law calculator allows you to find the values of variables that use in the ideal gas law equation. In simple terms, this ideal gas calculator will work best in solving any problem that is related to ideal gas law. The PV = NRT calculator incorporates Boyle’s law, Charles’s law, Avogadro’s law to provides you the precise measurements for ideal gas calculation. It follows the ideal gas equation and you can change the input variables according to the required conditions.
PV = NRT calculator is 100% free that uses ideal gas law formula to helps students or professionals in chemistry. The ideal gas law calculator becomes handy for numerical values of pressure, temperature, volume, and substance calculations that mostly consists of decimal value or may be in different unit. Just stick to the given steps to measuring the temperature, volume, pressure, and substance of a gas.
Inputs:
Note: Our ideal gas law equation calculator will do calculations according to different units; select one from drop to get your desired result.
Outputs:
The ideal gas calculator will calculate:
The standard condition of temperature and pressure is said to be the STP (Standard Temperature and Pressure). The two things you should beware of about STP is mentionedbelow:
The given table lists the several units for each property of ideal gal law:
Factor

Variable

Units


Pressure

P

atm
Torr
Pa
mmHg

Volume

V

L
m³

Moles

n

mol

Temperature

T

K

Gas Constant

R*

see Values of R table below 
Remember that certain things like temperature is always in its exact SI units of K or Kelvin rather than Celsius (C), and the amount of gas is always determined in moles. On the other hand, gas pressure and volume may have several other units, so you should beware of how to convert to the appropriate units if necessary.
You can use the given table as a reference for pressure and remember that this is the SI unit of pressure.
Unit  Symbol  Equivalent to 1 atm 

Atmosphere  atm  1 atm 
Millimeter of Mercury  mmHg  760 mmHg 
Torr  Torr  760 Torr 
Pascal  Pa  101326 Pa 
Kilopascal  kPa*  101.326 kPa 
Bar  bar  1.01325 bar 
Millibar  mb  1013.25 mb 
The gas constant (R) is also known as the universal, molar, or ideal gas constant. This gas constant referred to as a physical constant that is introduced in different fundamental equations in the physical sciences, such as the ideal gas law, the Arrhenius equation, and the Nernst equation.
When it comes to using a value of R, you ought to select the one with the appropriate units of the given information (remember that sometimes given units should be converted correspondingly).
When it comes to the gas constant (R), then ideal gas calculations becomes tricky. The value of gas constant will vary when dealing with several unit of pressure and volume – “remember that temperature factor is overlooked since temperature will always be in (K or Kelvin) instead of Celsius (C) when using the Ideal Gas Equation.” The appropriate value of R only helps you to attain the correct answer of the problem. When you choosing a value of gas constant (R), you should have to choose the one with the appropriate units of the given parameters (sometimes you may required to convert given units correspondingly). The R is also said to be as a combination of the constants from Boyle’s law, Charles’s law, Avogadro’s law, and GayLussac’s law. Our ideal gas law calculator uses the 8.3144626 J K^{−1} mol^{−1} value as a constant value of R (ideal gas law constant).
So, let’s take a look at the given table to know the constant values of R in different units:
Values of R  Units 
8.3144598(48)  kg m^{2} s^{−2} K^{−1} mol^{−1} 
8.3144598(48)  J K^{−1} mol^{−1} 
8.3144598(48) ×10^{−3}  kJ K^{−1} mol^{−1} 
8.3144598(48)×10^{7}  erg K^{−1} mol^{−1} 
8.3144598(48)×10^{−3}  amu (km/s)^{2} K^{−1} 
8.3144598(48)  m^{3} Pa K^{−1} mol^{−1} 
8.3144598(48)×10^{6}  cm^{3} Pa K^{−1} mol^{−1} 
8.3144598(48)  L kPa K^{−1} mol^{−1} 
8.3144598(48)×10^{3}  cm^{3} kPa K^{−1} mol^{−1} 
8.3144598(48)×10^{−6}  m^{3} MPa K^{−1} mol^{−1} 
8.3144598(48)  cm^{3} MPa K^{−1} mol^{−1} 
8.3144598(48)×10^{−5}  m^{3} bar K^{−1} mol^{−1} 
8.3144598(48)×10^{−2}  L bar K^{−1} mol^{−1} 
83.144598(48)  cm^{3} bar K^{−1} mol^{−1} 
62.363577(36)  L Torr K^{−1} mol^{−1} 
1.9872036(11)×10^{−3}  kcal K^{−1} mol^{−1} 
8.2057338(47)×10^{−5}  m^{3} atm K^{−1} mol^{−1} 
0.082057338  L atm K^{−1} mol^{−1} 
82.057338  cm^{3} atm K^{−1} mol^{−1} 
For the calculation of ideal gas law, it is necessary to follow the equation for precise output.
Ideal Gas Equation: PV = nRT
To calculate ideal gas law:
To calculate the ideal gas law, you have to use above mentioned ideal gas formula to put the given values in it. Now the manual calculation is a tricky thing to do and involve mathematics. To avoid the problem this ideal gas law calculator is all there to help you out. Furthermore, the temperature is “absolute” in the equation: Kelvin.Let’s elaborate it with example:
Calculation by ideal gas formula:
Case 1: If you are asked to find the volume from the 0.250 moles gas at 200kpa and 300K temperature = 200 kPa, n = 0.250 mol, T = 300K, R = 8.314 J K1 mol1?
Case 2: If you are asked to calculate the temperature from the 250ml cylinder containing 0.50 moles gas at 153kpa.V = 250ml > 250 / 1000 = 0.250 L, n = 0.50 mol, P = 153 kPa, R = 8.314 J K1 mol1?
No doubt, ideal gas law uses in many types of equipment that you people come across in your daily life. Even there are several studies and research found that entirely depends on the ideal gas law.
There are certain applications of the ideal gas law, which uses in our day to day life, including the determination of the amount of ventilation that facilities need for safe human use and even estimating proper air pressure levels in airplane cabins.
DID YOU KNOW!
Ideal gas laws elaborate a complete relationship between temperature, volume, and pressure for a combination of ideal gases. With the exception of few noble gases including helium and neon, the ideal gas law is not fully accurate in elaborating these relationships. Although estimations that considering the ideal gas law are approximate, we can say that they are still close enough in different cases.
You can see that ventilation units should be installed in any commercial building where air ventilation is not adequate enough otherwise to maintain a balance between both “the amount of carbon dioxide and oxygen in a building.” Remember that the amount of ventilation that a building requires is based on the number of individuals in the building and also including their activity levels. Buildings with more human activity naturally require more ventilation than where there are a fewer folks or fewer moving around the building. Also, ideal gas laws are working in closed, sealed areas like airplanes where it is important to keep a proper pressure balance between the air inside and outside the aircraft. These are the things that indicate how much oxygen is needed to maintain the proper equilibrium between the air inside and outside the cabin and even keep the air in the cabin fresh:
Another example of an ideal gas laws in day to day life involves airbags in vehicles. Ideal gas laws are the parameters that are responsible for the working mechanics of airbags. When airbags deploy, they quickly fill using the right kind of gases to make them inflate and then inflate properly as the vehicle crashes. And, when airbags inflate, they are simply filled by using nitrogen gas. The nitrogen gas is generated through a reaction with a substance known as sodium azide. The nitrogen reaction develops certain different byproducts, which are referred to as nitrogen gas and sodium metal. Nitrogen becomes useful when fill the airbags, while sodium metal is used when it undergoes a reaction with potassium nitrate. This is the reaction that neutralizes the sodium that simply produces enough gas, so that the airbag is inflated, but not overfilled. Nowadays, most of vehicles have airbags that are located in front of the driver’s seat and passenger seat, which assists to protect occupants in the event of a headon crash. Also, some vehicles come with airbags along the sides of the passenger seats that are said to be as side airbags. Typically, these airbags are located above the windows, and they assist to protect passengers’ heads in the event of a crash.
There’s no doubt that ideal gas laws are found in different other situations on daily life. Ideal gas laws elaborate the working of a gasoline engine. Also, they reveal the mechanics of hot air balloons that need the proper mixture & balance of gases to inflate safely and adequately. A torch becomes useful when ignite gases in hot air balloons that triggers the release of gases, which make their envelopes inflate. Also, the ideal gas laws work in the process of inhalation as lungs expands upon inhalation, but collapse again during exhalation. The process assists air rush into the lungs in order to keep living beings alive.
The tool that is specialized for finding an unknown value in the ideal gas law which states PV=nrt. P=pressure, V=volume, n=number of moles of gas, R=the gas constant, and T=temperature. In simple words, this ideal gas equation calculator uses a standard ideal gas law equation (PV)=nRT to perform ideal law gas calculation.
To find out the particular volume of any gas, some essential information is required such as: If the amount of gas is in moles, simply a multiplication of it by 22.4 Liters/mole will provide you the result. For illustration, if 2 moles of N2 gas is present, the gas takes up 44.8 Liters. You can also use the above pvnrt calculator that helps you to find the volume or any other variable by using ideal gas law equation.
Ideal gases won’t have any attractive or repulsive forces between their molecules but real gases have. Furthermore, Real gas always has some volume but ideal gases do not. lastly, Real gas particles collide and lose their energy but in the case of an ideal gas, collision is perfectly elastic.
It is a unit. Have a look at the formula to observe the correct units:P = Pressure (atm) V = Volume (L) n = moles R = gas constant = 0.0821 atm•L/mol•KT = Temperature (Kelvin). Accurate units are important. Be sure to change whatsoever units you initiate the calculations into the suitable units when using the ideal gas law. Also, this p=nrt/v calculator allows you to calculate volume from the ideal gas law equation by using this p=nrt/v formula.
It is the condition in which gas shows a particular, perfect relation between its pressure, volume, and temperature so it is considered as ideal gas law. A will not follow the equation when situations are near the condensation point.
In most normal circumstances such as at standard temperature and pressure, almost each real gases act just like an ideal gas. For some gases such as nitrogen, oxygen, hydrogen, and some heavier gases like carbon dioxide it is possible to treat them like an ideal gas with rational acceptances.
Specific volume can be calculated: equals volume/mass. Mostly volume is measured and expressed in cubic meters (m3), and mass is expressed in kilograms. Specific volume is then computed by simply dividing. As a result, you will have a specific volume. Try v=nrt/p calculator that helps you to in finding the volume from the ideal gas law as this calculator uses v=nrt/p formula.
If you are a student or a professional, your interaction with the ideal gas law takes place frequently. Now by using the numerical values for pressure, temperature, R, and volume can be handled very easily. You can try this ideal gas law calculator for volume, temperature, pressure, substance (moles) calculations, it follows ideal gas law to provide you the most accurate results. The calculator is 100% free, you can be able to use different ranges without any cost. Happy calculating!
From Wikipedia, the free encyclopedia – ideal gas law – Equations, Common Forms, Statisticals Mechanics
From the Source of chemguide – Ideal Gases and the ideal gas equation
The authorized source of chem.libretexts provided – ideal gas law formula simply expressed