## Percentage Concentration to Molarity Calculator

This online **percentage concentration to molarity calculator** is used in **chemistry **to **convert **between **two different** ways of expressing the **concentration **of a solution.

**Percentage concentration** typically refers to the **mass **of solute per **100 units** of solution, while **molarity** is defined as the **number of moles** of solute per liter of solution.

The calculator takes into account factors such as the **molecular weight** of the solute and the **density** of the solution to perform accurate conversions.

## Percent Concentration to Molarity Calculation Formula

The formula to **convert percent concentration to molarity** involves several steps and considerations. The general formula is:

**Molarity (M) = (Percent Concentration × Density of Solution) / (Molecular Weight of Solute × 0.1)**

Where:

**Percent Concentration**is expressed as a percentage (%)**Density of Solution**is in g/mL**Molecular Weight of Solute**is in g/mol- 0.1 is a conversion factor to account for the percentage

**More Calculator: **

## How do you convert percentage concentration to molarity?

To convert percentage concentration to molarity, follow these steps:

**Determine the percent concentration**of the solution.**Measure or find the density**of the solution in g/mL.**Identify the molecular weight**of the solute in g/mol.**Apply the formula**: Molarity = (Percent Concentration × Density) / (Molecular Weight × 0.1)**Calculate the result**to obtain the molarity in mol/L.

For example, to convert a 5% NaCl solution with a density of 1.03 g/mL to molarity:

**Percent Concentration**= 5%**Density**= 1.03 g/mL**Molecular Weight of NaCl**= 58.44 g/mol**Molarity**= (5 × 1.03) / (58.44 × 0.1) = 0.882 M

## What is the formula for percent concentration?

The formula for percent concentration depends on whether you’re calculating **mass percent** or **volume percent**. Here are both formulas:

**Mass Percent Concentration:**

```
Mass Percent = (Mass of Solute / Mass of Solution) × 100%
```

**Volume Percent Concentration:**

```
Volume Percent = (Volume of Solute / Volume of Solution) × 100%
```

In most cases, when dealing with solid solutes dissolved in liquid solvents, mass percent is used.

## What is the formula for Molarity?

The formula for **molarity (M)** is:

```
Molarity (M) = Moles of Solute / Liters of Solution
```

This can also be expressed as:

```
Molarity (M) = (Mass of Solute / Molecular Weight of Solute) / Volume of Solution in Liters
```

Molarity is always expressed in units of mol/L or M.

## What is 5% concentration?

A **5% concentration** means that there are **5 grams** of solute dissolved in **100 grams** of solution. In other words, **5% **of the total **mass **of the solution is the solute, while the remaining **95%** is the solvent.

For example, a **5% salt **solution contains **5 grams** of salt dissolved in enough water to make **100 grams **of solution. It’s important to note that this is a **mass-to-mass **ratio, not a **mass-to-volume** ratio.

## How to calculate molarity from percentage purity?

To calculate molarity from percentage purity, you need additional information such as the density of the solution and the molecular weight of the solute. Here’s the process:

**Convert percentage purity to decimal**form (e.g., 98% = 0.98)**Multiply the density of the solution**by the purity decimal to get grams of pure solute per mL**Divide by the molecular weight**of the solute to get moles of solute per mL**Multiply by 1000**to convert to moles per liter (molarity)

Formula:

```
Molarity = (Density × Purity × 1000) / Molecular Weight
```

Where:

**Density**is in g/mL**Purity**is expressed as a decimal**Molecular Weight**is in g/mol

## How to find molarity from concentration?

If the concentration is given as a mass percentage, you can use the following steps:

**Convert the percentage to a decimal**(e.g., 5% = 0.05)**Multiply the decimal by the solution density**to get grams of solute per mL**Divide by the molecular weight**of the solute to get moles per mL**Multiply by 1000**to convert to moles per liter (molarity)

Formula:

```
Molarity = (Concentration × Density × 1000) / Molecular Weight
```

Where:

**Concentration**is expressed as a decimal**Density**is in g/mL**Molecular Weight**is in g/mol

## Percentage Concentration to Molarity Conversion Table

We’ll use different concentrations of sodium chloride (**NaCl**) solutions as our examples.

Given:

**Molecular Weight of NaCl**= 58.44 g/mol**Density of solutions**varies slightly with concentration

Percentage Concentration | Density (g/mL) | Calculation | Molarity (M) |
---|---|---|---|

1% NaCl | 1.0053 | (1 × 1.0053) / (58.44 × 0.1) | 0.172 |

5% NaCl | 1.0314 | (5 × 1.0314) / (58.44 × 0.1) | 0.883 |

10% NaCl | 1.0707 | (10 × 1.0707) / (58.44 × 0.1) | 1.832 |

15% NaCl | 1.1091 | (15 × 1.1091) / (58.44 × 0.1) | 2.846 |

20% NaCl | 1.1478 | (20 × 1.1478) / (58.44 × 0.1) | 3.929 |