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Chemical formula of plaster of Paris is

  • A.\(\mathrm{CaSO_{4} \cdot 2H_{2}O}\)
  • B.\(\mathrm{CaSO_{4} \cdot H_{2}O}\)
  • C.\(\mathrm{CaSO_{4} \cdot \frac{1}{2}H_{2}O}\)
  • D.\(\mathrm{CaSO_{4}}\)

Answer: C

Plaster of Paris is \(\mathrm{CaSO_4 \cdot \tfrac{1}{2}H_2O}\), calcium sulphate hemihydrate.

It is made by heating gypsum to about 373 K (100 °C), which drives off three-quarters of its water of crystallisation:

\[ \begin{aligned} \mathrm{CaSO_4 \cdot 2H_2O} &\rightarrow \mathrm{CaSO_4 \cdot \tfrac{1}{2}H_2O} \\ &\quad + \mathrm{1\tfrac{1}{2}H_2O} \end{aligned} \]

When mixed with water it takes the water back and sets hard as gypsum again, which is why it is used for casts and moulds.

\(\mathrm{CaSO_4 \cdot 2H_2O}\) is gypsum itself, the anhydrous \(\mathrm{CaSO_4}\) is dead-burnt plaster formed by overheating, and the monohydrate is not the composition of plaster of Paris.

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