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Question: Which of the following is the correct formula of Gypsum? A. \[CuS{O_4}.2{H_2}O\] B. \[CaS{O_4}.\...

Which of the following is the correct formula of Gypsum?
A. CuSO4.2H2OCuS{O_4}.2{H_2}O
B. CaSO4.12H2OCaS{O_4}.\dfrac{1}{2}{H_2}O
C. CuSO4.5H2OCuS{O_4}.5{H_2}O
D. CaSO4.2H2OCaS{O_4}.2{H_2}O

Explanation

Solution

Hint: Gypsum is a compound of calcium. It is used as a fertilizer and one of the most common minerals in a sedimentary environment.

Complete step by step solution:
Gypsum is a soft sulphate mineral, which consists of dihydrate calcium sulphate. Its chemical formula is CaSO4.2H2OCaS{O_4}.2{H_2}O. It is widely used as a fertilizer. It is found in layered sedimentary deposits. It is very similar to anhydride (CaSO4CaS{O_4}). Anhydride, upon hydration gives back gypsum. It is also the most common sulphate mineral.
The chemical reaction involving preparation of gypsum is:
CaCO3(s)+H2SO4(aq)CaSO4(s)+CO2(g)+H2O(l)CaC{O_3}_{(s)} + {H_2}S{O_4}_{(aq)} \to CaS{O_4}_{(s)} + C{O_{2(g)}} + {H_2}{O_{(l)}}
Ca(OH)2(aq)+H2SO4(aq)CaSO4(s)+2H2O(l)Ca{(OH)_{2(aq)}} + {H_2}S{O_4}_{(aq)} \to CaS{O_4}_{(s)} + 2{H_2}{O_{(l)}}
CaSO4(s)+2H2O(l)CaSO4.2H2OCaS{O_4}_{(s)} + 2{H_2}{O_{(l)}} \to CaS{O_4}.2{H_2}O
Gypsum can be prepared by the action of dilute sulphuric acid on calcium carbonate or on calcium hydroxide. It is a white crystalline solid, sparingly soluble in water.
Gypsum, on heating at different temperatures, gives different products.
On heating at 393K, it gives CaSO4.12H2OCaS{O_4}.\dfrac{1}{2}{H_2}O, which is Plaster of Paris.
CaSO4.2H2OCaSO4.12H2OCaS{O_4}.2{H_2}O \to CaS{O_4}.\dfrac{1}{2}{H_2}O
On heating at 437K and above, it gives anhydrous calcium sulphate or anhydride.
CaSO4.2H2OCaSO4CaS{O_4}.2{H_2}O \to CaS{O_4}

Hence, the correct answer is (D) CaSO4.2H2OCaS{O_4}.2{H_2}O.

Additional information:
Some of the uses of gypsum are:
It is used in the manufacturing of cement.
It is used as a drying agent.
It is also used to prepare ammonia, bleaching powder and calcium nitrate.

Note: A student can most probably confuse between Plaster of Paris (CaSO4.12H2OCaS{O_4}.\dfrac{1}{2}{H_2}O) and Gypsum (CaSO4.2H2OCaS{O_4}.2{H_2}O). Both differ in the water of hydration. Make sure to remember Plaster of Paris has less water molecules of hydration.