Balance the following equations: (a) CaC2( s)+H2 O(l) ⟶Ca(OH)2(s)+C2 H2(g) (b) (NH4)2 Cr2 O7( s)

step 1 Okay, so we're going to balance some equations here. So we need to get the same number of atoms

Balance the following equations: (a) CaC2( s)+H2 O(l)...

Balance the following equations: (a) $\mathrm{CaC}_2(\mathrm{~s})+\mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{Ca}(\mathrm{OH})_2(s)+\mathrm{C}_2 \mathrm{H}_2(g)$ (b) $\left(\mathrm{NH}_4\right)_2 \mathrm{Cr}_2 \mathrm{O}_7(\mathrm{~s}) \longrightarrow \mathrm{Cr}_2 \mathrm{O}_3(\mathrm{~s})+\mathrm{N}_2(\mathrm{~g})+\mathrm{H}_2 \mathrm{O}(\mathrm{g})$ (c) $\mathrm{CH}_3 \mathrm{NH}_2(g)+\mathrm{O}_2(g) \longrightarrow \mathrm{CO}_2(g)+\mathrm{N}_2(g)+\mathrm{H}_2 \mathrm{O}(g)$

Balance the following equations:
(a) $\mathrm{CaC}_2(\mathrm{~s})+\mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{Ca}(\mathrm{OH})_2(s)+\mathrm{C}_2 \mathrm{H}_2(g)$
(b) $\left(\mathrm{NH}_4\right)_2 \mathrm{Cr}_2 \mathrm{O}_7(\mathrm{~s}) \longrightarrow \mathrm{Cr}_2 \mathrm{O}_3(\mathrm{~s})+\mathrm{N}_2(\mathrm{~g})+\mathrm{H}_2 \mathrm{O}(\mathrm{g})$
(c) $\mathrm{CH}_3 \mathrm{NH}_2(g)+\mathrm{O}_2(g) \longrightarrow \mathrm{CO}_2(g)+\mathrm{N}_2(g)+\mathrm{H}_2 \mathrm{O}(g)$

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Key Concepts

Balancing Chemical Equations

Balancing chemical equations is the procedure of adjusting coefficients to ensure that the number of atoms for each element is the same on both sides of the equation. This process may involve techniques such as the inspection method, using a systematic approach to adjust coefficients, and sometimes algebraic methods to solve for unknowns, all aimed at accurately representing the reaction.

Law of Conservation of Mass

This principle states that matter cannot be created or destroyed in a chemical reaction, which requires that the number of atoms for each element is exactly the same on both the reactant and product sides of a chemical equation. When balancing equations, this law is the fundamental guideline, as every atom present before the reaction must be accounted for after the reaction.

Stoichiometry

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. In the context of balancing chemical equations, it involves determining the correct coefficients that reflect the ratio in which substances react and are produced according to the law of conservation of mass.

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