Balance the following chemical reactions, which contribute...

Balance the following chemical reactions, which contribute to weathering of the iron-silicate minerals ferrosilite (FeSiO $_{3}$ ), fayalite $\left(\mathrm{Fe}_{2} \mathrm{SiO}_{4}\right),$ and greenalite $\left[\mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}\right]:$ a. $\operatorname{FeSiO}_{3}(s)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$. b. $\mathrm{Fe}_{2} \mathrm{SiO}_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$ $\mathrm{FeCO}_{3}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$. c. $\mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$. $\mathrm{FeCO}_{3}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$.

Balance the following chemical reactions, which contribute to weathering of the iron-silicate minerals ferrosilite (FeSiO $_{3}$ ), fayalite $\left(\mathrm{Fe}_{2} \mathrm{SiO}_{4}\right),$ and greenalite $\left[\mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}\right]:$
a. $\operatorname{FeSiO}_{3}(s)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$.
b. $\mathrm{Fe}_{2} \mathrm{SiO}_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$
$\mathrm{FeCO}_{3}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$.
c. $\mathrm{Fe}_{3} \mathrm{Si}_{2} \mathrm{O}_{5}(\mathrm{OH})_{4}(s)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow$.
$\mathrm{FeCO}_{3}(s)+\mathrm{H}_{4} \mathrm{SiO}_{4}(a q)$.

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Key Concepts

Balancing Chemical Equations

Balancing chemical equations is the process of ensuring that the number of atoms for each element is equivalent on both sides of a reaction. This is vital for upholding the law of conservation of mass, which states that mass is neither created nor destroyed during a chemical reaction. In any chemical system, a balanced equation accurately represents the transformation of reactants into products without any loss or gain of atomic constituents.

Chemical Stoichiometry

Chemical stoichiometry is the quantitative assessment of reactants and products in a chemical reaction. It involves using the coefficients from a balanced equation to determine the proportions in which substances react and are produced. This concept is crucial for calculations in reaction yield, reagent requirement, and product formation, forming the mathematical backbone of reaction analysis.

Mineral Weathering Processes

Mineral weathering processes refer to the chemical, physical, and biological breakdown of minerals exposed at the Earth’s surface. In the context of geochemistry, these processes include reactions like hydrolysis and carbonation that alter original mineral structures and form secondary minerals. Such weathering reactions play a critical role in soil formation, nutrient cycling, and the global geochemical balance.

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