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Chemistry# Molar volume

## What is molar volume?

## What molar volume is used for

## Symbol

## Molar volume formula

## Examples

#### Example 1: The molar volume of the gas

#### Example 2: ethanol molar volume

#### Example 3: Oxygen molar volume

In chemistry, it is very important to know the volume of substances used for scientific experiments that merit extreme precision. Since the mole is one of the seven units of measurement of the fundamental physical magnitudes of the International System of Units (SI), **it is necessary to know the volume occupied by a mole of a substance **in order to be able to work with it in the field of chemistry. In the particular case of molecular gases, a mole contains the value of the number Avogadro (Na) and complying with Avogadro's law, if an ideal gas is in the middle of the same pressure and temperature conditions, the **molar volume** of this gas will be equal to that of another ideal gas with the same conditions.

**Symbol**: Vm**Unit**: L/mol

Molar volume is the **space occupied by one mole of a substance.** This term is **used in chemistry **to determine the molecular volume reflected in **cubic meters per mol** (m^{3} x mol^{-1}). A mole is the unit contemplated by the International System of Units that allows to measure and express a certain amount of substance. The **molar volume of an ideal gas** under normal conditions (1 atmosphere pressure and 0°C temperature) is equal to **22.4 liters/mol**. The molar volume can be calculated in substances in liquid, solid and gaseous states.

It is important to mention that there is a law that determines which are the **ideal** or **perfect gases** and the ordinary or imperfect gases in which the value of the molar volume equal to **22.4 liters** is not fulfilled. For other substances in solid or liquid state, the molar volume is different and smaller than gaseous substances.

It serves to **know the volume that a substance occupies in a certain space**. This substance can be in a **gaseous**, **liquid** or solid **state**.

The molar volume symbol is V_{m}.

The **chemical** formula for calculating Volume is **V= M/D**. In the case of the molar volume it must be taken into account whether these substances are mixtures of gaseous or non-gaseous elements.

**In gaseous substances the formula is V _{m}= V/N.** Where V is the Volume and N is equal to the mol/gram number.

It is important to remember that to calculate N, the formula is **N= m/M.** Where m is equal to the weight of the sample and M is its molecular mass. Another way to calculate N is with the formula N= n° of molecules / N_{a} . Where N_{a} is the number Avogadro which is equal to 6,02 x 10^{23}.

**In mixtures or non-gaseous substances they are calculated with the formula V _{m}= M (mass expressed in moles) / D (density expressed in cm^{3})**.

Some examples of the molar volume of gas, ethanol and oxygen are given below.

When determining the molar volume of a gas it is **important to know if they are “ideal or perfect”** or if they are

The **ideal gases** – according to the Avogadro law – under normal conditions of pressure (10^5 pascals) and temperature (273.15 K = 0 °C) is **22.4 liters**. This value is the normal molar volume of a gas.

There is a law of ideal gases that makes possible to recognize this type of gas.

In the case of ordinary or non-perfect gases, their molar volume deviates slightly from the value of ideal gases. This is the case of gases such as: Sulphur dioxide (SO_{2}) which has a molar volume of 21.9 L or carbon dioxide (CO_{2}) with a value of 22.3L.

Ethanol (CH_{3}-CH_{2}-OH) **is a substance** that has a molar mass of 46.07 g/mol and a density of 0.789 g/cm^{3}. This substance consists of Hydrogen (H) Carbon (C) and Oxygen (O).

The **formula for substances is mass / density**. In this sense, in order to know the molar volume of ethane, this formula is applied with the ethanol values.

Vm= 46,07 g/mol / 0,789 g/cm^{3}

Vm= 59.188 cm^{3} / mole

Oxygen is considered an ideal gas and for this reason its molar volume under normal conditions is 22.4 L per mol. This means that if you want to calculate its exact volume in a quantity X of oxygen liters, you must apply a rule of three like the following:

1Mol —— 22,4L

X ——-N° of liters of oxygen you have.

Written by Gabriela Briceño V.

Briceño V., Gabriela. (2019). *Molar volume*. Recovered on 8 March, 2023, de Euston96: https://www.euston96.com/en/molar-volume/