# How many grams of NaCl are contained in a one molar solution of NaCl?

Introduction:

In chemistry, the concept of molarity is commonly used to express the concentration of a solution. Molarity, denoted as M, is defined as the number of moles of solute per liter of solution. One molar (1 M) solution contains one mole of solute in one liter of solution. In this article, we will explore how to calculate the number of grams of sodium chloride (NaCl) present in a one molar solution of NaCl.

## Understanding Molarity:

Molarity is a crucial parameter in chemistry as it helps in determining the amount of a substance present in a given volume of solution. It is calculated using the formula:

Molarity (M) = Moles of Solute / Volume of Solution (in liters)

By rearranging this formula, we can solve for the moles of solute:

Moles of Solute = Molarity (M) x Volume of Solution (in liters)

To calculate the grams of solute, we need to know the molar mass of the solute, which is the mass of one mole of the substance.

## Calculating the Molar Mass of NaCl:

Sodium chloride (NaCl) is a compound composed of sodium (Na) and chlorine (Cl). The molar mass of NaCl can be calculated by adding the atomic masses of sodium and chlorine:

Element Atomic Mass (g/mol)
Sodium (Na) 22.99
Chlorine (Cl) 35.45

Using the atomic masses, we can calculate the molar mass of NaCl:

Molar Mass of NaCl = (Na: 22.99 g/mol) + (Cl: 35.45 g/mol) = 58.44 g/mol

## Calculating the Grams of NaCl in a One Molar Solution:

Now that we know the molar mass of NaCl, we can calculate the grams of NaCl present in a one molar solution. Let’s assume we have a one molar solution with a volume of 1 liter.

Using the formula:

Moles of NaCl = Molarity (M) x Volume of Solution (in liters)

Substituting the values:

Moles of NaCl = 1 M x 1 L = 1 mole

Since we have one mole of NaCl, we can calculate the grams by multiplying the moles by the molar mass:

Grams of NaCl = Moles of NaCl x Molar Mass of NaCl

Substituting the values:

Grams of NaCl = 1 mole x 58.44 g/mol = 58.44 grams

Therefore, in a one molar solution of NaCl with a volume of 1 liter, there are 58.44 grams of NaCl.

## Conclusion:

In summary, to calculate the grams of NaCl in a one molar solution of NaCl, we need to know the molar mass of NaCl and the volume of the solution. By using the formula Moles of NaCl = Molarity x Volume of Solution, we can determine the number of moles of NaCl. Then, by multiplying the moles by the molar mass of NaCl, we can calculate the grams of NaCl. In a one molar solution of NaCl with a volume of 1 liter, there are 58.44 grams of NaCl.

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