Balance the following equations: (a) Mg+HNO3 ⟶H2+Mg(NO3)2 (b) CaC2+H2 O ⟶Ca(OH)2+C2 H2 (c) S+O2

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Balance the following equations: (a) Mg+HNO3 ⟶H2+Mg(NO3)2...

Balance the following equations: (a) $\mathrm{Mg}+\mathrm{HNO}_{3} \longrightarrow \mathrm{H}_{2}+\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}$ (b) $\mathrm{CaC}_{2}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{Ca}(\mathrm{OH})_{2}+\mathrm{C}_{2} \mathrm{H}_{2}$ (c) $\mathrm{S}+\mathrm{O}_{2} \longrightarrow \mathrm{SO}_{3}$ (d) $\mathrm{UO}_{2}+\mathrm{HF} \longrightarrow \mathrm{UF}_{4}+\mathrm{H}_{2} \mathrm{O}$

Balance the following equations:
(a) $\mathrm{Mg}+\mathrm{HNO}_{3} \longrightarrow \mathrm{H}_{2}+\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}$
(b) $\mathrm{CaC}_{2}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{Ca}(\mathrm{OH})_{2}+\mathrm{C}_{2} \mathrm{H}_{2}$
(c) $\mathrm{S}+\mathrm{O}_{2} \longrightarrow \mathrm{SO}_{3}$
(d) $\mathrm{UO}_{2}+\mathrm{HF} \longrightarrow \mathrm{UF}_{4}+\mathrm{H}_{2} \mathrm{O}$

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Key Concepts

Law of Conservation of Mass

This principle states that mass is neither created nor destroyed in a chemical reaction. When balancing chemical equations, it ensures that the total mass and number of atoms for each element are the same on both the reactant and product sides of the equation.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction. It requires the use of coefficients, which are adjusted to balance the chemical equation so that the number of atoms for each element is conserved across the reaction.

Balancing Chemical Equations

Balancing chemical equations is the process of determining the correct coefficients for reactants and products to satisfy the Law of Conservation of Mass. This process involves counting the number of atoms of each element present in the reactants and ensuring that the same number appears in the products, often through a systematic trial-and-error or algebraic approach.