Last updated: Jun 08, 2024

Ideal Gas Temperature Calculator

Q: What unit of temperature is used in gas law calculations?

Kelvin. The Kelvin temperature scale starts at absolute zero and is 273.15 at the freezing point of water. It is used in ideal gas law calculations because the standard gas constant has the units J·K⁻¹·mol⁻¹, which includes the temperature in kelvin.

Q: What is the temperature of 0.2 moles of air in a 5 liter bottle?

31.5 °C , assuming the air is at standard atmospheric pressure (101,325 Pa). This result is calculated as follows: Multiply the pressure and the volume of air in SI units. So that is 0.005 m³ × 101325 Pa = 506.625 m³·Pa . Divide the result from step 1 by the number of moles and the gas constant to get the temperature in kelvins: 506.625 / (0.2 × 8.3145) = 304.7 K Convert to degrees celsius by subtracting 273.15 : 304.7 - 273.15 = 31.5 °C

Created by Steven Wooding

Steven Wooding

Physicist holding a 1st class degree and a member of the Institute of Physics. Creator of the UK vaccine queue calculator, and featured in many publications, including The Sun, Daily Mail, Express, and Independent. Tenacious in researching answers to questions and has an affection for coding. Hobbies include cycling, walking, and birdwatching. You can find him on Twitter @OmniSteve. See full profile

Check our editorial policy

Reviewed by Krishna Nelaturu

Krishna Nelaturu

Krishna holds a Master's degree in Applied Mechanics and never shies away from asking questions and digging deeper. He has two years of experience in steel castings and a particular fascination for vehicle dynamics. For his thesis, Krishna developed a new optimization method to reduce squeak and rattle in premium cars. He is passionate about mathematics and physics and constantly wonders about our place in the Universe. He also loves stories and storytelling and hopes to write a book someday. See full profile

Check our editorial policy

New

Table of contents

What is an ideal gas?How to calculate temperature using the ideal gas law How to use the ideal gas temperature calculator Other ideal gas law calculators FAQs

Using this ideal gas temperature calculator, you can find the temperature of an ideal gas based on the amount of gas and its volume. In this article, we'll explain:

The definition of an ideal gas;
A formula for calculating its temperature using the ideal gas law;
Calculate the temperature of an ideal gas if not given moles; and
What unit of temperature is used in gas law calculations?

What is an ideal gas?

An ideal gas consists of molecules we model as point-like particles with no interactions between them. Such a theoretical gas obeys the gas laws precisely, making the math much more manageable.

Fortunately, certain gases behave like ideal gases at normal temperatures and pressures without too much error. Among these gases are air, hydrogen, oxygen, nitrogen, noble gases, and carbon dioxide. A real gas is very similar to an ideal gas at higher temperatures and lower pressures.

How to calculate temperature using the ideal gas law

What is the temperature of an ideal gas? To answer this, we need to use the ideal gas law, which is given by the following formula:

\small PV = nRT

where:

$P$ – Pressure;
$V$ – Volume;
$n$ – Number of gas particles in moles;
$T$ – Temperature; and
$R$ – Gas constant, which is equal to 8.3145 J·K^-1·mol^-1.

To find the equation for the temperature of an ideal gas, we divide both sides of the ideal gas equation by $nR$ :

\small T = \frac{PV}{nR}

How to use the ideal gas temperature calculator

Here's how to use our ideal gas temperature calculator:

Enter the pressure of the gas (select your preferred units first).
Input the volume of the gas.
In the final step, enter the number of moles of the gas.
The calculator will then instantly display the resulting volume of the ideal gas.

To calculate the temperature of an ideal gas if not given moles, you can use the calculate amount of substance section of the calculator to calculate the number of moles. You are asked for the total mass of the gas and its molar mass (the mass of one mole).

Other ideal gas law calculators

Here are some other ideal gas law calculators you might be interested in:

FAQs

What unit of temperature is used in gas law calculations?

Kelvin. The Kelvin temperature scale starts at absolute zero and is 273.15 at the freezing point of water. It is used in ideal gas law calculations because the standard gas constant has the units J·K⁻¹·mol⁻¹, which includes the temperature in kelvin.

What is the temperature of 0.2 moles of air in a 5 liter bottle?

31.5 °C, assuming the air is at standard atmospheric pressure (101,325 Pa). This result is calculated as follows:

Multiply the pressure and the volume of air in SI units. So that is 0.005 m³ × 101325 Pa = 506.625 m³·Pa.
Divide the result from step 1 by the number of moles and the gas constant to get the temperature in kelvins:

506.625 / (0.2 × 8.3145) = 304.7 K
Convert to degrees celsius by subtracting 273.15: 304.7 - 273.15 = 31.5 °C