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In Section 1.1 of the text, the concept of a chemical reaction was introduced with the example of the decomposition of water, represented as follows: Use ideas from Dalton鈥檚 atomic theory to explain how the above representation illustrates the law of conservation of mass.

Short Answer

Expert verified
The decomposition of water (\(2H_2O \rightarrow 2H_2 + O_2\)) illustrates the law of conservation of mass through Dalton's atomic theory, which states that atoms are neither created nor destroyed during chemical reactions. In this case, 4 hydrogen atoms and 2 oxygen atoms are present in both reactants and products, with their masses remaining constant. The atoms are only rearranged to form hydrogen and oxygen molecules, adhering to the law of conservation of mass.

Step by step solution

01

Understand Dalton's Atomic Theory

Dalton's atomic theory has several postulates, but the ones most relevant to this exercise are: 1. All matter is composed of atoms, which are indivisible and indestructible particles. 2. All atoms of a given element are identical in mass and properties. 3. Chemical reactions involve the rearrangement of atoms, which are combined or separated but never created or destroyed.
02

Understand the Chemical Reaction

The decomposition of water is a chemical reaction represented by the equation: \[2H_2O \rightarrow 2H_2 + O_2\] This means that two water molecules (2H鈧侽) decompose into two hydrogen molecules (2H鈧) and one oxygen molecule (O鈧).
03

Apply Dalton's Atomic Theory to the Chemical Reaction

According to Dalton's atomic theory, atoms are neither created nor destroyed during a chemical reaction. In this case, the decomposition of water involves the rearrangement of hydrogen and oxygen atoms, which separate and combine to form hydrogen and oxygen molecules.
04

Analyze the Reaction in Terms of the Law of Conservation of Mass

The law of conservation of mass states that the mass of the reactants (the initial substances) must equal the mass of the products (the final substances) in a chemical reaction. In the decomposition of water, the mass of the hydrogen and oxygen atoms in the water molecules must equal the mass of the hydrogen and oxygen molecules that are formed.
05

Show That the Law of Conservation of Mass is Upheld in the Reaction

We can show that the law of conservation of mass is upheld in the decomposition of water by looking at the number and mass of the atoms on both sides of the reaction. On the reactants side (2H鈧侽): - There are 4 hydrogen atoms and 2 oxygen atoms. On the products side (2H鈧 + O鈧): - There are 4 hydrogen atoms and 2 oxygen atoms. The number and mass of the hydrogen and oxygen atoms remain unchanged during the decomposition of water, and the atoms are merely rearranged to form hydrogen and oxygen molecules. Thus, the law of conservation of mass is upheld in this reaction, in accordance with Dalton's atomic theory.

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Key Concepts

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

Dalton's Atomic Theory
Dalton's Atomic Theory is foundational to understanding chemical reactions. It proposes that all matter is composed of tiny indivisible particles called atoms. According to this theory, atoms cannot be created or destroyed; they only rearrange during chemical reactions. This concept is critical when examining reactions like the decomposition of water.
In Dalton's view, chemical reactions are merely the rearrangement of atoms. For instance, when water decomposes, hydrogen and oxygen atoms simply reorganize into different molecules. Dalton suggested that all atoms of a particular element are identical in mass and properties, which is why they form predictable combinations in chemical reactions, such as forming water from hydrogen and oxygen.
This theory laid the groundwork for the modern understanding of chemistry and helped scientists predict the outcome of chemical reactions with accuracy.
Law of Conservation of Mass
The Law of Conservation of Mass is an essential principle in chemistry. It states that in any chemical reaction, the total mass of the reactants鈥攖he starting substances鈥攎ust equal the total mass of the products鈥攖he substances formed. This is apparent in the chemical equation for the decomposition of water: \[2H_2O \rightarrow 2H_2 + O_2\].
In this reaction, we start with water molecules and end with hydrogen and oxygen molecules. Throughout the process, the number and mass of the atoms are conserved. This means no atoms are lost or gained from start to finish; they only rearrange to create new molecules.
  • The reactants have 4 hydrogen atoms and 2 oxygen atoms.
  • The products have 4 hydrogen atoms and 2 oxygen atoms as well.
This constant balance is why the mass remains unchanged, proving the law holds true in every chemical reaction, just as Dalton's theory suggests.
Decomposition of Water
Decomposition of water is a classic example of a chemical reaction where water molecules break down into hydrogen and oxygen gases. This reaction can be expressed by the equation: \[2H_2O \rightarrow 2H_2 + O_2\].
Here, water starts as the reactant, and the products are hydrogen gas and oxygen gas. By observing this reaction, we see how atoms separate and reassemble into new compounds.
  • Initially, two water molecules contain 4 hydrogen atoms and 2 oxygen atoms.
  • After decomposition, they form 2 hydrogen molecules (2H鈧) and 1 oxygen molecule (O鈧).
This decomposition is a straightforward demonstration of Dalton鈥檚 notion of atomic rearrangement during chemical reactions. As any chemical reaction, it reflects the law of conservation of mass, maintaining equal mass before and after the reaction, as the atoms are simply redistributed in different molecular forms.

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Most popular questions from this chapter

By analogy with phosphorus compounds, name the following: \(\mathrm{Na}_{3} \mathrm{AsO}_{4}, \mathrm{H}_{3} \mathrm{AsO}_{4}, \mathrm{Mg}_{3}\left(\mathrm{SbO}_{4}\right)_{2}\)

Section 2.3 describes the postulates of Dalton鈥檚 atomic theory. With some modifications, these postulates hold up very well regarding how we view elements, compounds, and chemical reactions today. Answer the following questions concerning Dalton鈥檚 atomic theory and the modifications made today. a. The atom can be broken down into smaller parts. What are the smaller parts? b. How are atoms of hydrogen identical to each other, and how can they be different from each other? c. How are atoms of hydrogen different from atoms of helium? How can H atoms be similar to He atoms? d. How is water different from hydrogen peroxide \(\left(\mathrm{H}_{2} \mathrm{O}_{2}\right)\)even though both compounds are composed of only hydrogen and oxygen? e. What happens in a chemical reaction, and why is mass conserved in a chemical reaction?

Consider the elements of Group 4A (the 鈥渃arbon family鈥): C, Si, Ge, Sn, and Pb. What is the trend in metallic character as one goes down this group? What is the trend in metallic character going from left to right across a period in the periodic table?

Consider 100.0 -g samples of two different compounds consisting only of carbon and oxygen. One compound contains 27.2 \(\mathrm{g}\) of carbon, and the other has 42.9 \(\mathrm{g}\) of carbon. How can these data support the law of multiple proportions if 42.9 is not a multiple of 27.2\(?\) Show that these data support the law of multiple proportions.

How many protons and neutrons are in the nucleus of each of the following atoms? In a neutral atom of each element, how many electrons are present? a. \(^{79} \mathrm{Br}\) b. \(^{81} \mathrm{Br}\) c. \(^{239} \mathrm{Pu}\) d. \(^{133} \mathrm{Cs}\) e. \(^{3} \mathrm{H}\) f. \(^{56} \mathrm{Fe}\)

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