For this reaction, fill in the table with the indicated...

For this reaction, fill in the table with the indicated quantities for the balanced equation. $$2 \mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{~g})+7 \mathrm{O}_{2}(\mathrm{~g}) \longrightarrow 4 \mathrm{CO}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$$ $$\begin{array}{|l|l|l|l|l|} \hline & \mathrm{C}_{2} \mathrm{H}_{6} & \mathrm{O}_{2} & \mathrm{CO}_{2} & \mathrm{H}_{2} \mathrm{O} \\ \hline \text { No. of molecules } & & & & \\\hline \text { No. of atoms } & & & & \\\hline \begin{array}{l}\text { Amount of } \\\text { molecules }\end{array} & & & & \\ \hline \text { Mass } & & & & \\\hline \begin{array}{l}\text { Total mass } \\\text { of reactants }\end{array} & & & & \\ \hline \begin{array}{l}\text { Total mass } \\ \text { of products }\end{array} & & & \\\hline\end{array}$$

For this reaction, fill in the table with the indicated quantities for the balanced equation.
$$2 \mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{~g})+7 \mathrm{O}_{2}(\mathrm{~g}) \longrightarrow 4 \mathrm{CO}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$$
$$\begin{array}{|l|l|l|l|l|}
\hline & \mathrm{C}_{2} \mathrm{H}_{6} & \mathrm{O}_{2} & \mathrm{CO}_{2} & \mathrm{H}_{2} \mathrm{O} \\
\hline \text { No. of molecules } & & & & \\\hline \text { No. of atoms } & & & & \\\hline \begin{array}{l}\text { Amount of } \\\text { molecules }\end{array} & & & & \\
\hline \text { Mass } & & & & \\\hline \begin{array}{l}\text { Total mass } \\\text { of reactants }\end{array} & & & & \\
\hline \begin{array}{l}\text { Total mass } \\
\text { of products }\end{array} & & & \\\hline\end{array}$$

Key Concepts

Dimensional Analysis

Dimensional analysis is a systematic approach used to convert between units and ensure that calculations involving different measurement systems are consistent. By applying conversion factors from the balanced equation, molar mass, and Avogadro's number, dimensional analysis helps in accurately computing quantities such as number of molecules, number of atoms, moles, and mass in a chemical reaction.

Conservation of Mass

The principle of conservation of mass states that the total mass of reactants in a chemical reaction must equal the total mass of the products. This concept is fundamental in chemistry because it ensures that all atoms present in the reactants are accounted for in the products, providing a check for the correctness of reaction and stoichiometric calculations.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. It allows for the conversion between the mass of a substance and the number of moles, which is essential for performing stoichiometric calculations based on a balanced chemical equation.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of particles, such as atoms or molecules, in one mole of a substance. This constant serves as a bridge between the microscopic world of atoms and molecules and the macroscopic amounts measured in the laboratory, enabling conversion between number of particles and moles.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It involves using the coefficients in a balanced chemical equation to calculate the amounts of substances consumed and formed, making it a critical concept for solving problems related to reactions and chemical quantities.

Balanced Chemical Equation

A balanced chemical equation represents a chemical reaction in which the number of atoms for each element is the same on both the reactant and product sides. It provides the stoichiometric coefficients that are essential for determining the exact ratios in which substances combine and are produced, ensuring the law of conservation of mass is upheld.

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