Question
Discuss the principle of estimation of halogens, sulphur and phosphorus present in an organic compound.

Answer

Estimation of halogens
Halogens are estimated by the Carius method. In this method, a known quantity of organic compound is heated with fuming nitric acid in the presence of silver nitrate, contained in a hard glass tube called the Carius tube, taken in a furnace. Carbon and hydrogen that are present in the compound are oxidized to form $CO_2$ and $H_2O$ respectively and the halogen present in the compound is converted to the form of AgX. This AgX is then filtered, washed, dried, and weighed.
Let the mass of organic compound be mg.
Mass of AgX formed = $m_1g$
1 mol of Agx contains 1mol of X.
Therefore,
Mass of halogen in $m_1g$ of $\text{AgX}=\frac{\text{Atomic mass of X}\times\text{m}_1\text{g}}{\text{Molecular mass of AgX}}$
$\text{Thus},\%\text{ of halogen will be}=\frac{\text{Atomic mass of X}\times\text{m}_1\times 100}{\text{Molecular mass of AgX}\times\text{m}}$
Estimation of Sulphur
In this method, a known quantity of organic compound is heated with either fuming nitric acid or sodium peroxide in a hard glass tube called the Carius tube. Sulphur, present in the compound, is oxidized to form sulphuric acid. On addition of excess of barium chloride to it, the precipitation of barium sulphate takes place. This precipitate is then filtered, washed, dried, and weighed.
Let the mass of organic compound be mg.
Mass of $BaSO_4$ formed = $m_1g$
1 mol of $BaSO_4 = 233g ~BaSO_4 = 32g$ of Sulphur
Therefore, $m_1g$ of $BaSO_4$ contains $\frac{32\times\text{m}_1}{233}\text{g}$ of sulphur.
Thus, $\text{percentage of sulphur}=\frac{32\times\text{m}_2\times100}{233\times\text{m}}$
Estimation of phosphorus
In this method, a known quantity of organic compound is heated with fuming nitric acid. Phosphorus, present in the compound, is oxidized to form phosphoric acid. By adding ammonia and ammonium molybdate to the solution, phosphorus can be precipitated as ammonium phosphomolybdate.
Phosphorus can also be estimated by precipitating it as $MgNH_4PO_4$ by adding magnesia mixture, which on ignition yields $Mg_2P_2O_7$.
Let the mass of organic compound be mg.
Mass of ammonium phosphomolybdate formed = $m_1g$
Molar mass of ammonium phosphomolybdate = $1877g$
Thus, $\text{Percentage of phosphorus}=\frac{31\times\text{m}_1\times100}{1877\times\text{m}}\%$
If P is estimated as $Mg_2P_2O_7$,
Then, $\text{Percentage of phosporus}=\frac{62\times\text{m}_1\times100}{222\times\text{m}}\%$

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