**Molarity of 37% (w/w) hydrochloric acid (HCl)**

**Overview:**

- Hydrochloric acid is a clear colourless aqueous solution of hydrogen chloride (HCl) that can be supplied as a 37% (w/w) hydrogen chloride solution (see suppliers).
- 37% (w/w) hydrochloric acid means that 100 grams of hydrochloric acid contains 37 grams of hydrogen chloride.
- The density of 37% (w/w) hydrochloric acid is 1.2 g/ml at 25°C that means that weight of the 1 ml of hydrochloric acid is 1.2 gram at 25°C.
- Molarity refers to number of moles of the solute present in 1 litre of solution.
- In simple words, 1 mole is equal to atomic weight of the substance. For example, 1 mole of hydrogen chloride is equal to 36.46 grams of hydrogen chloride (molecular weight = 36.46).

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**Calculation procedure:**

**Known values:**

**1.2 g/ml**

**36.46 g/mole**

Concentration of Hydrochloric acid: ** **37% (% by mass, wt/wt)

**Step 1: Calculate the volume of 100 grams of Hydrochloric acid.**

**Formula:**

Volume = weight / density

Volume of 100 gram of Hydrochloric acid = 100/1.2 = 83.33 ml

Note: 37% (w/w) Hydrochloric acid means that 100 grams of Hydrochloric acid contains 37 grams of Hydrogen chloride.

**The volume of 100 grams of Hydrochloric acid is 83.33 ml. That means 37 grams of Hydrogen chloride is present in 83.33 ml of Hydrochloric acid.**

**Step 2: Calculate how many grams of Hydrogen chloride is present in 1000 ml of Hydrochloric acid.**

1000 ml of Hydrochloric acid will contain = 1000 x 37/83.33 = 444.01776 grams of acetic acid

**1000 ml of Hydrochloric acid will contain 444.01776 grams of Hydrogen chloride.**

**Step 3: Calculate the number of moles of Hydrogen chloride present in 444.01776 grams of Hydrogen chloride.**

444.01776 grams of Hydrogen chloride = 444.01776 x 1/36.46 = 12.178 moles

**Therefore, we can say that 1 liter of Hydrochloric acid contains 12.178 moles or in other words molarity of 37% (w/w) Hydrochloric acid is equal to 12.178.**