Question #184524

Glauber’s salt is a form of hydrated sodium sulfate, **Na2SO4ᐧ ***x***H2O(s)**, that is used medicinally as a mild laxative. Chemical analysis of this hydrate shows that it is** 44.1% sodium sulfate**. Determine the **FORMULA **and the **NAME **of this hydrate.

Expert's answer

**Q184524**

Glauber’s salt is a form of hydrated sodium sulfate, Na_{2}SO4ᐧ *x*H2O(s), that is used medicinally as a mild laxative. Chemical analysis of this hydrate shows that it is 44.1% sodium sulfate. Determine the FORMULA and the NAME of this hydrate.

**Solution : **

If there is 44.1 % of sodium sulfate in the salt,

then the remaining (100 - 44.1 ) = 55.9 % will be H_{2}O.

Let us consider that there are 100 grams of hydrated sodium sulfate.

Since there is 44.1 % sodium sulfate, so 100 grams of hydrated sodium sulfate will contain

44.1 grams of sodium sulfate and 55.9 grams of H_{2}O.

**Step 1: To find moles of Na**_{2}**SO**_{4}** and H**_{2}**O present in 100 grams of hydrated salt. **

Convert 44.1 grams of Na_{2}SO_{4} and 55.9 grams of H_{2}O to moles by using their molar mass.

Molar mass of Na_{2}SO_{4} = 142.041 g/mol

Molar mass of H2O = 18.0148 g/mol

"= 0.3105 \\ mol \\ of \\ Na_ 2SO_4"

"= 3.1030 \\ mol \\ of \\ H_2O"

For finding the number 'x' . We will divide moles of both by the one with the least number of moles.

Here Na2SO4 has least number of moles.

So for each mole of Na_{2}SO_{4}, there is 10 mole of H_{2}O.

So x = 10.

There are 10 water molecules in this formula. For denoting the number of hydrated water molecules we will use the prefix ' deca' .

10 means deca.

So the* name of the compound will be*

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