When we talk about chemical reactions or formations, we often use terms like mass, moles, and molar mass. These concepts are critical to understanding chemical compounds and reactions to study them.

In this article, we will explore two fundamental topics within the realm of chemistry, finding mass from moles and molar mass calculations without mass.

## Finding the Mass from Moles and Molar Mass

Before we dive into the formula and examples of how to find mass from moles and molar mass, let’s first define these terms. A mole is a unit of measurement used in chemistry that represents the number of particles in a substance.

Molar mass is the mass of one mole of a substance. The formula for finding mass from moles and molar mass is straightforward:

Mass = Moles x Molar Mass

For example, let’s say we want to find the mass of water when given 2 moles of it.

We can look up the molar mass of water, which is 18.01528 g/mol. By plugging these values into the formula, we get:

Mass of Water = 2 moles x 18.01528 g/mol = 36.03056 g

Simultaneously, if we know the mass and molar mass of a substance, we can also find the number of moles present in the substance.

Number of Moles = Mass Molar Mass

Now that we understand the formula let’s look at some examples. Example 1: A student has 3.5 moles of salt (NaCl).

What is the mass of salt? We know that the molar mass of salt is 58.44 g/mol.

So, substituting values in the formula, we get:

Mass of NaCl = 3.5 moles x 58.44 g/mol = 204.54 g

Therefore, the mass of salt is 204.54 g. Example 2: A sample of gas has a mass of 84 g.

What is the number of moles of gas present if the molar mass is 28 g/mol? We know that the mass of gas is 84 g, and the molar mass of gas is 28 g/mol.

Substituting these values in the formula, we get:

Number of Moles of Gas = 84g 28 g/mol = 3 moles

Therefore, the number of moles of gas present is 3.

## Calculating Molar Mass Without Mass

Now, let’s move on to the second topic- calculating molar mass without mass. In this method, we use colligative properties to find the molar mass of a substance.

Colligative properties are properties of solutions that depend on the concentration of solute particles, regardless of the nature of the solute. One such colligative property is the boiling point elevation, which is the difference in temperature between the boiling point of a solution and the boiling point of the pure solvent.

The higher the number of solute particles in a solution, the greater will be the boiling point elevation. The formula to calculate molar mass using the boiling point elevation is:

Molar mass = weight in grams of solute / molality x boiling point elevation / Kf

In this formula, molality is the number of moles of solute dissolved per kilogram of solvent, and Kf is the solvent’s cryoscopic constant.

Let’s take an example to understand this method. Example: A solution of 15g of Benzene(C6H6) in 225g of chloroform has a boiling point elevation of 1.18 degrees Celsius.

Calculate the molar mass of Benzene. C6H6 is the solute that we want to calculate the molar mass.

The boiling point elevation of the solution is 1.18 degrees Celsius. First, we need to find the molality of the solution.

## The molality of the solution is calculated as follows:

m = moles of solute / kg of solvent

As we have been given the weight of solute and solvent, we need to calculate their moles to calculate molality. Here, the weight of Benzene is 15g.

Molar Mass of Benzene = (6 Molar Mass of C) + (6 Molar Mass of H)

= (6 12.01 g/mol) + (6 1.01 g/mol)

= 78.1 g/mol

We get the number of moles (n) as follows:

n = Moles of Solute / kg of Solvent

= 15g / (225g / 1000)

= 0.0667 moles

Now, by substituting these values in the formula, we get:

Molar mass of Benzene = 15g / (0.0667mol / 0.225kg) x 1.18C / (4.68C.kg/mol)

= 77g/mol

Therefore, the molar mass of benzene is 77g/mol.

## Conclusion

These two concepts- finding mass from moles and molar mass calculations without mass are fundamental in chemistry. Understanding how to apply these concepts enables us to perform various calculations related to chemical reactions and formations.

With the formula and examples discussed in this article, we hope you have grasped the concept well. In this article, we have covered two important concepts in chemistry- finding mass from moles and calculating molar mass without mass.

The formula and examples provided exemplify how to apply these concepts to solve chemistry-related problems. Understanding these concepts is critical for students who aspire to enter chemistry-related fields.

It also helps them in performing various calculations related to chemical reactions and formations. These concepts are essential to the field of chemistry and are widely used in the scientific world.

To summarize, finding mass from moles and calculating molar mass without mass form the fundamental units for various chemical calculations that can be done both theoretically and practically.

## FAQs

1) What is a mole? A mole is a unit of measurement used in chemistry that represents the number of particles in a substance.

2) What is molar mass? Molar mass is the mass of one mole of a substance.

3) How do you find mass from moles and molar mass? Mass = Moles x Molar Mass

4) What are colligative properties?

Colligative properties are properties of solutions that depend on the concentration of solute particles, regardless of the nature of the solute. 5) What is the formula to calculate molar mass using boiling point elevation?

Molar mass = weight in grams of solute / molality x boiling point elevation / Kf.