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In a balanced chemical equation, must the sum of the volumes occupied by the gaseous reactants always equal the sum of the volumes occupied by the gaseous products?

Short Answer

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Explain your answer. Answer: No, the sum of the volumes occupied by the gaseous reactants does not always equal the sum of the volumes occupied by the gaseous products in a balanced chemical equation, particularly when temperature, pressure, or phase conditions change during the reaction. However, the law of conservation of mass still holds in all cases, ensuring that the total mass of reactants equals the total mass of products.

Step by step solution

01

Understand the Law of Conservation of Mass

The law of conservation of mass states that matter cannot be created or destroyed in a chemical reaction. This means that the total mass of the reactants in a chemical reaction must be equal to the total mass of the products.
02

Learn about Avogadro's Law

Avogadro's Law states that equal volumes of gases at the same temperature and pressure contain equal numbers of particles (atoms or molecules). This means that the volume of gas is directly proportional to the number of particles in it.
03

Consider Stoichiometry in Balanced Chemical Equations

In a balanced chemical equation, the numbers of atoms of each element are equal on both reactant and product side. Stoichiometry deals with the quantitative aspect of a chemical equation and helps to determine the mass relationships between reactants and products.
04

Apply the Law of Conservation of Mass and Avogadro's Law to the problem

Since the total mass of the reactants must equal the total mass of the products, and the volume of a gas is directly proportional to the number of particles in it, it might seem that the sum of the volumes occupied by the gaseous reactants should always equal the sum of the volumes occupied by the gaseous products. However, it's essential to remember that this is only true when the reaction occurs under constant temperature and pressure.
05

Evaluate whether the volumes are always equal under any condition

In some cases, when reaction conditions such as temperature and pressure change or some reactants or products are in a different phase (solid or liquid), the sum of the volumes occupied by the gaseous reactants may not equal the sum of the volumes occupied by the gaseous products. Therefore, while the volume of individual reactants or products might change, the law of conservation of mass still holds true. #Conclusion#: In a balanced chemical equation, the sum of the volumes occupied by the gaseous reactants does not always equal the sum of the volumes occupied by the gaseous products, particularly when temperature, pressure, or phase conditions change during the reaction. However, the law of conservation of mass still holds in all cases.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conservation of Mass
The law of conservation of mass is a fundamental principle in chemistry. It states that mass is neither created nor destroyed during any physical or chemical process.
This means that in any chemical reaction, the total mass of the reactants must equal the total mass of the products. When you balance a chemical equation, you're essentially following the conservation of mass. Why does this matter? Because it ensures that atoms are neither lost nor gained but instead rearranged to form new compounds. This principle holds true in closed systems where no material can enter or leave. While the mass remains constant throughout the reaction, the number of molecules or the volume of gases may change depending on other conditions like temperature and pressure.
Avogadro's Law
Avogadro's Law is a vital tool in understanding gases. This law states that equal volumes of gases, at the same temperature and pressure, contain equal numbers of molecules. So, if you have a 1-liter bottle of oxygen and a 1-liter bottle of hydrogen, under the same conditions, both will have the same number of molecules.
This is significant when considering chemical equations involving gases. By applying Avogadro’s Law, you can predict how gases will behave when they react. If you have a balanced chemical equation, the volumes of gases can be directly related to the coefficients in the reaction, provided temperature and pressure remain constant. Remember that Avogadro’s Law is particularly useful because it allows for the comparison and prediction of gas behavior without knowing the exact molecular makeup.
Stoichiometry
Stoichiometry is the quantitative glue that holds chemical equations together. It's a method used to calculate the amounts of reactants and products in a chemical reaction. When it comes to balancing equations, stoichiometry ensures that the numbers of each type of atom are equal on both sides.The stoichiometric coefficients in a balanced equation indicate the proportion of moles of each substance involved. For example, in the equation \(2H_2 + O_2 \rightarrow 2H_2O\), the coefficients tell us that two moles of hydrogen gas react with one mole of oxygen gas to produce two moles of water.Understanding stoichiometry allows you to not only balance chemical reactions but also to predict the amounts of substances consumed and produced, which is crucial for applications ranging from laboratory work to industrial chemical production.

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Most popular questions from this chapter

The combustion of 40.5 mg of a compound containing \(C\), \(\mathrm{H},\) and \(\mathrm{O},\) and extracted from the bark of the sassafras tree, produces \(110.0 \mathrm{mg}\) of \(\mathrm{CO}_{2}\) and \(22.5 \mathrm{mg}\) of \(\mathrm{H}_{2} \mathrm{O} .\) The molar mass of the compound is \(162 \mathrm{g} / \mathrm{mol}\). Determine its empirical and molecular formulas.

If natural gas contains significant amounts of sulfur as \(\mathrm{H}_{2} \mathrm{S}\), it is called sour natural gas. For the gas to be commercially useful as a fuel, the \(\mathrm{H}_{2} \mathrm{S}\) must be removed. Once it is separated from the natural gas, it is reacted with oxygen in two different processes to yield either elemental sulfur (S \(_{8}\) ), a commercial material that can be sold, or sulfur dioxide \(\left(\mathrm{SO}_{2}\right) .\) This sulfur dioxide product can be reacted with more \(\mathrm{H}_{2} \mathrm{S}\) to make additional elemental sulfur. Balance the following reactions that describe the production of elemental sulfur. a. \(\mathrm{H}_{2} \mathrm{S}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{S}_{8}(s)+\mathrm{H}_{2} \mathrm{O}(g)\). b. \(\mathrm{H}_{2} \mathrm{S}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{SO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)\). \(^{*} \mathrm{c} . \mathrm{H}_{2} \mathrm{S}(g)+\mathrm{SO}_{2}(g) \rightarrow \mathrm{S}_{8}(s)+\mathrm{H}_{2} \mathrm{O}(\mathrm{g})\).

One of the ingredients in the Native American stomachache remedy derived from common chokecherry is caffeic acid. Combustion of \(1.00 \times 10^{2} \mathrm{mg}\) of caffeic acid yielded \(220 \mathrm{mg}\) of \(\mathrm{CO}_{2}\) and \(40.3 \mathrm{mg}\) of \(\mathrm{H}_{2} \mathrm{O}\) Determine the empirical formula of caffeic acid.

Socks containing silver nanoparticles embedded in the fabric are currently marketed as an antidote to smelly socks. Silver is known to have antimicrobial properties, and silver ions are toxic to aquatic life. A study at Arizona State University found that much of the silver particles are lost upon laundering the socks in mild acid.a. Each sock in the study began with \(1360 \mu \mathrm{g}\) of silver. How many moles of silver are contained in each sock?b. As much as \(650 \mu \mathrm{g}\) of silver was lost after four washings. What percent of the silver was lost?

Calculate the molar masses of the following common flavors in food: a. vanillin, \(\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}_{3}\). b. oil of cloves, \(\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{O}_{2}\). c. anise oil, \(\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{O}\). d. oil of cinnamon, \(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}\).

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