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CHEM- Mole Calculations to Determine the Molarity

Chemistry, Mole Calculations, Molarity- IBDP | DSE | GCE | IAL | AP Chemistry

April 29, 2019

Here are few noteworthy points to keep in mind concerning this topic📋

EQUATION 1

Molarity (mol dm-3) = moles of solute (mol) ÷ volume of soltion (dm3)

1 dm3 = 1000 cm3

🧐​Pay attention to the units❗️ ❕​

EQUATION 2

Moles = Mass ÷ Molar Mass

Time for the examples❗️ ❕

Example 1🤓 ​

5.78 g of CaCl2 are dissolved in water and the solution is made up to 250 cm3. Calculate the molarity of the solution.

(Relative atomic masses: Cl= 35.5, Ca= 40.1)

Step 1- Find the number of moles of CaCl2

Molar Mass of CaCl2 = (40.1+35.5+35.5) = 111.1 g mol-1

Moles of CaCl2= 5.78 g ÷ 111.1 g mol-1 = 0.0520 mol

Final Step- Find the molarity by substituting the correct values in EQUATION 1

Volume = 250 ÷​ 1000 = 0.25

Molarity= 0.0520 ÷ 0.25 = 0.208 M

Example 2🤓 ​

What is the mass of Na2SO4 required to prepare 1.5 dm3 of 1.6 mol dm-3 ?​

(Relative atomic masses: O=16, Na= 32.1, S=32.1)

It can be seen that the question has provided the volume and molarity.

So the number of moles can be found

Step 1- Find the moles of Na2SO4 by REARRANGING EQUATION 1

Moles of Na2SO4 = Molarity ×​ Volume = 1.5 ×​ 1.6 =​ 2.4 mol

Last Step- Find the mass of Na2SO4 by REARRANGING EQUATION 2

Molar Mass of Na2SO4 = 142.1 g mol-1

Mass of Na2SO4 = Moles ​× Molar Mass = 2.4 × 142.1 = 341 g

Example 3🤓 ​

Calculate the amount, in moles, of 25cm3 of hydrochloric acid (HCl) with a concentration of 2 mol dm3

Step 1- Convert to the correct unit

Volume = 25 ÷​ 1000 = 0.025

Final Step- Find the moles of HCl by REARRANGING EQUATION 1

Moles of HCl = Molarity ×​ Volume = 2 × 0.025 = 0.05

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