 # Molarity Formula

Molarity is the number of moles of solute per litre of solution. The chemical within the mixture that’s present within the largest amount is that the solvent, and also the other components are solutes. The utilization of molarity is often to convert between the mass or moles of solute and also the volume of the answer. It’s one among the foremost common units accustomed to measure the concentration of a solution. During this chapter, we’ll discuss molarity formula, its properties and various solved numerical.        ## Molarity Formula

Molarity has units of mol/litre which may be abbreviated as molar. The molarity of the solute is usually abbreviated by putting square brackets around the formula of the solute. For instance, the concentration of chloride ions during a solution is often written as [Cl−].

Molarity (M)= Solute’s number of moles/volume of solution(liter)

Solute’s number of moles = w/m =weight of solute/molecular weight of solute

For instance, consider the precipitation reaction that happens between Pb(NO3 )2 (aq) and KI(aq). When we combine these two solutions bright yellow PbI2 (s) precipitates out of solution. The balanced equation for this reaction is:

Pb(NO3)2 + 2KI(aq) → PbI2 (s) + 2KNO3 (aq)

## Unit and Calculation of Molarity Source: chemistryonline.guru

In the Systeme International d’Unites of Units (SI) the bottom unit for molarity is mol/m3. Notation of those traditional units is usually by the letter M and SI prefix to denote sub-multiples.

The quantity of moles of solute must be divided by the whole litres of the answer produced. This can be a good way to calculate molarity. If the quantity of solute is out there in grams, we must first calculate the amount of moles of solute using the solute’s molar mass, then calculate the molarity using the number of moles and total volume.

### Properties of Molarity

The sum of molarity s gives the entire molar concentration, namely the density of the mixture divided by the molar mass of the mixture or by another name the reciprocal of the molar volume of the mixture. In an ionic solution, ionic strength is proportional to the sum of the molarity of salts. The molarity depends on the variation of the quantity of the solution due mainly to thermal expansion.

## Solved Examples for Molarity Formula

Q 1] A person has a 5.0 M solution of hydrochloric acid (HCl) and his new experiment requires 150.0 mL of 2.0 M HCl. What quantity of water and 5.0 M HCl should the scientist use to make 150.0 mL of 2.0 M HCl? Use Molarity Formula.

Solution: We have, C1V1 = C2V2

C1 and V1 denote the concentration and the volume of the solution and they are 5.0 M HCl. C2 and V2 denote concentration and the volume of the desired solution, or 150.0 mL of the 2.0 M HCl solution. Therefore:

HCl’s 5.0 M (V1) = HCl’s 2.0 M(150.0 (mL))

V1 = 60.0 mL of 5.0 M HCl

If we use 60.0 mL of 5.0 M HCl to make the  solution, the amount of water we need to properly dilute the solution to the correct molarity and volume is as follows:

150.0 mL – 60.0 mL = 90.0 mL

In order for the person to make 150.0 mL of 2.0 M HCl, he will need 60.0 mL of 5.0 M HCl and 90.0 mL of water.

Share with friends

## Customize your course in 30 seconds

##### Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.  Ashhar Firdausi
IIT Roorkee
Biology  Dr. Nazma Shaik
VTU
Chemistry  Gaurav Tiwari
APJAKTU
Physics
Get Started

## Browse

##### Chemistry Formulas Subscribe
Notify of

## Question Mark?

Have a doubt at 3 am? Our experts are available 24x7. Connect with a tutor instantly and get your concepts cleared in less than 3 steps.