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The chemical formula of siderite:
A. $F{{e}_{2}}{{O}_{3}}$
B. $F{{e}_{3}}{{O}_{4}}$
C. $FeC{{O}_{3}}$
D. $Mn{{O}_{2}}$

Answer
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Hint: Siderite is an iron ore and iron ore mainly contain of hematite $F{{e}_{2}}{{O}_{3}}$ and magnetite $F{{e}_{3}}{{O}_{4}}$ in proportions which varies accordingly to the type of each ore. However, the siderite formula is somewhat a mixture of this. As we know already that Iron is very important and is present in abundance in the Earth’s crust. These ores of Iron are mainly found beneath the earth or in geo-vents such as calcite, siderite and dolomite.

Complete step by step process:
Siderite is a most common carbonate of Iron whose formula is $FeC{{O}_{3}}$, major constituents of carbonate sediments and rocks present on Earth. Siderite transition takes place at a very low temperature at 30-35K unlike pyrrhotite, which transit at a very high temperature. Siderite is paramagnetic at an ordinary temperature and it doesn’t have nuclear spin. The siderite can also oxidize at room temperature and that process becomes very rapid at higher temperatures. Therefore, the formula of siderite and answer of this question is C. $FeC{{O}_{3}}$

Note: There are many uses of siderite such as:
Siderite was used as a clean reductant for utilization of refractory iron ore. The variation in the properties in the magnetization roasting process was analysed by VSM. When siderite is decomposed then an intermediate is formed in the process called Wustite which is characterized by Mossbauer spectroscopy.