# What is the molar mass of a gas that has a density of 5.75 g/mL at 25 degree C and 1.2 atm?

## Question:

What is the molar mass of a gas that has a density of 5.75 g/mL at 25 degree C and 1.2 atm?

## Ideal Gas Law:

A gas behaves ideally when there are no intermolecular forces present and all collisions between the atoms and molecules are perfectly elastic. In this case, the thermodynamic properties of the ideal gas, such as the pressure {eq}P {/eq}, volume {eq}V {/eq}, temperature {eq}T {/eq}, and number of moles {eq}n {/eq}, can be related to each other through a combination of several gas laws (Boyle's, Charles', Gay-Lussac's, and Avogadro's law). This relation, called the ideal gas law, is applicable for all gas at any pressure, temperature, and volume and is given by

$$PV = nRT$$

For this problem, we use the ideal gas law equation to calculate the molar mass of a particular gas given its density and other thermodynamic properties.

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The density is defined as the ratio of the mass {eq}m {/eq} over the volume {eq}V {/eq} of a particular substance, or quantitatively

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Chapter 4 / Lesson 5
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Explore the ideal gas law equation and which law relates to the ideal gas law. See examples of ideal gas law problems and understand how to solve them.