There are two ways to write the equation for the combustion...

There are two ways to write the equation for the combustion of ethane:$$\begin{aligned} \mathrm{C}_{2} \mathrm{H}_{6}(g)+\frac{7}{2} \mathrm{O}_{2}(g) & \rightarrow 3 \mathrm{H}_{2} \mathrm{O}(g)+2 \mathrm{CO}_{2}(g) \\2 \mathrm{C}_{2} \mathrm{H}_{6}(g)+7 \mathrm{O}_{2}(g) & \rightarrow 6 \mathrm{H}_{2} \mathrm{O}(g)+4 \mathrm{CO}_{2}(g)\end{aligned}$$.Do these two different ways of writing the equation affect the calculation of how much $\mathrm{CO}_{2}$ is produced from a known quantity of $\mathrm{C}_{2} \mathrm{H}_{6} ?$

There are two ways to write the equation for the combustion of ethane:$$\begin{aligned}
\mathrm{C}_{2} \mathrm{H}_{6}(g)+\frac{7}{2} \mathrm{O}_{2}(g) & \rightarrow 3 \mathrm{H}_{2} \mathrm{O}(g)+2 \mathrm{CO}_{2}(g) \\2 \mathrm{C}_{2} \mathrm{H}_{6}(g)+7 \mathrm{O}_{2}(g) & \rightarrow 6 \mathrm{H}_{2} \mathrm{O}(g)+4 \mathrm{CO}_{2}(g)\end{aligned}$$.Do these two different ways of writing the equation affect the calculation of how much $\mathrm{CO}_{2}$ is produced from a known quantity of $\mathrm{C}_{2} \mathrm{H}_{6} ?$

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Key Concepts

Scaling of Equations

Scaling an equation refers to multiplying all coefficients in a balanced chemical equation by the same factor. This process does not affect the relative mole ratios, meaning that computations based on these ratios, such as calculating the quantity of a product from a given reactant, will yield the same result regardless of the scaling factor.

Balanced Chemical Equations

A balanced chemical equation accurately represents the conservation of mass by ensuring that the number of atoms for each element is the same on both sides of the reaction. This equilibrium is crucial for determining the precise stoichiometric relationships between reactants and products.

Stoichiometry

Stoichiometry involves calculating the quantitative relationships between reactants and products in a chemical reaction based on the balanced equation. It allows one to predict the amount of product formed or the amount of reactant needed from given quantities, relying on the mole ratios derived from the coefficients.

Mole Ratios

Mole ratios are derived from the coefficients in a balanced chemical equation and indicate the proportional relationship between moles of reactants and products. These ratios remain consistent regardless of how the equation is scaled, ensuring calculations are accurate as long as the ratios are maintained.

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