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Without doing any calculations, predict the sign of \(\Delta H\) for each of the following reactions: (a) \(2 \mathrm{NO}_{2}(g) \longrightarrow \mathrm{N}_{2} \mathrm{O}_{4}(g)\) (b) \(2 \mathrm{~F}(g) \longrightarrow \mathrm{F}_{2}(g)\) (c) \(\mathrm{Mg}^{2+}(g)+2 \mathrm{Cl}^{-}(g) \longrightarrow \mathrm{MgCl}_{2}(s)\) (d) \(\operatorname{HBr}(g) \longrightarrow H(g)+B r(g)\)

Short Answer

Expert verified
(a) Negative, (b) Negative, (c) Negative, (d) Positive

Step by step solution

01

Understanding Reaction Type for (a)

Reaction (a) is the dimerization of nitrogen dioxide to form dinitrogen tetroxide, \[2 \mathrm{NO}_{2}(g) \longrightarrow \mathrm{N}_{2} \mathrm{O}_{4}(g)\]. This process is an example of a synthesis reaction, where two molecules are coming together to form a larger, more complex molecule. Such reactions tend to have negative enthalpies (\(\Delta H < 0\)) as they typically release energy when forming new bonds.
02

Analyzing Bond Formation for (b)

Reaction (b) involves the formation of a diatomic molecule from its separate atoms, \[2 \mathrm{~F}(g) \longrightarrow \mathrm{F}_{2}(g)\]. Since bonds between atoms are being formed, energy is usually released in such processes, resulting in a negative enthalpy change (\(\Delta H < 0\)).
03

Understanding Ionic Compound Formation for (c)

Reaction (c) shows the formation of an ionic solid from its gaseous ions, \[\mathrm{Mg}^{2+}(g)+2 \mathrm{Cl}^{-}(g) \longrightarrow \mathrm{MgCl}_{2}(s).\] The creation of an ionic lattice structure liberates a significant amount of energy as oppositely charged ions attract each other, making it an exothermic process with \(\Delta H < 0\).
04

Identifying Decomposition Reaction for (d)

Reaction (d) involves the dissociation of a hydrogen bromide molecule into separate atoms, \[\operatorname{HBr}(g) \longrightarrow H(g)+Br(g)\]. Breaking chemical bonds requires energy, often absorbed from the surroundings, leading to an endothermic process with \(\Delta H > 0\).

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Key Concepts

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

Synthesis Reaction
In chemistry, a synthesis reaction (also known as a combination reaction) involves two or more simple substances combining to form a more complex substance. An example from the exercise is the reaction involving nitrogen dioxide to dinitrogen tetroxide:\[ 2 \mathrm{NO}_{2}(g) \longrightarrow \mathrm{N}_{2} \mathrm{O}_{4}(g) \]In this reaction, two molecules of nitrogen dioxide (\(\mathrm{NO}_{2}\)) come together to create one molecule of dinitrogen tetroxide (\(\mathrm{N}_{2}\mathrm{O}_{4}\)). Typically, these types of reactions are energetically favorable and release energy, resulting in a negative change in enthalpy \((\Delta H < 0)\). This is because forming one complex molecule tends to stabilize the system, making it energetically efficient. In synthesis reactions:
  • Two or more reactants form one complex product.
  • Energy is usually released during the process.
  • Common in the formation of new compounds.
These characteristics make synthesis reactions crucial for building complex compounds in various chemical processes, including industrial and biological systems.
Bond Formation
Bond formation is a fundamental concept in chemistry that involves the association of atoms to form molecules. In reaction (b):\[ 2 \mathrm{~F}(g) \longrightarrow \mathrm{F}_{2}(g) \]Two fluorine atoms combine to form a single fluorine molecule \((\mathrm{F}_{2})\). The process of bond formation between atoms involves the release of energy, typically resulting in a negative change in enthalpy \((\Delta H < 0)\). This is due to the fact that bonded atoms are in a more stable energy state compared to individual, unbonded atoms.In bond formation:
  • Bonds between atoms are formed.
  • Energy is released leading to a stable configuration.
  • The reaction is often exothermic as the system sheds energy.
This exothermic nature helps dictate the stability and existence of molecular compounds and is a key process in chemical reactions involving diatomic molecules.
Ionic Compound Formation
Ionic compound formation is a process where ions come together to form a structured compound with a lattice arrangement. In reaction (c):\[ \mathrm{Mg}^{2+}(g) + 2 \mathrm{Cl}^{-}(g) \longrightarrow \mathrm{MgCl}_{2}(s) \]The magnesium ion (\(\mathrm{Mg}^{2+}\)) and chloride ions (\(\mathrm{Cl}^{-}\)) combine to form solid magnesium chloride (\(\mathrm{MgCl_{2}}\)). When oppositely charged ions come into contact, they attract each other strongly, releasing substantial amounts of energy as they form an ionic lattice. The energy given off when the lattice structure forms generally results in a negative enthalpy change \((\Delta H < 0)\), indicating an exothermic reaction, meaning that:
  • Ions combine to form a solid lattice.
  • Significant energy is released in the process.
  • This energy release makes the reaction exothermic.
This stability through energy release and strong ionic bonds is why ionic compounds tend to have high melting and boiling points and are fundamental to the structure of many materials.
Decomposition Reaction
A decomposition reaction involves a single compound breaking down into two or more simpler substances, often requiring the input of energy. This can be seen in reaction (d):\[ \operatorname{HBr}(g) \longrightarrow H(g) + Br(g) \]Here, hydrogen bromide gas breaks apart into hydrogen and bromine atoms. This process requires energy to overcome the strong bond between hydrogen and bromine, resulting in a positive enthalpy change \((\Delta H > 0)\), indicating an endothermic reaction. Decomposition reactions are characterized by:
  • A single substance breaking down into simpler components.
  • The absorption of energy is required to break bonds.
  • These reactions are generally endothermic.
Understanding decomposition is important for fields like environmental science and chemical manufacturing, where breaking down complex substances into simpler forms is essential.

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Most popular questions from this chapter

It is estimated that the net amount of carbon dioxide fixed by photosynthesis on the landmass of Earth is \(5.5 \times 10^{16} \mathrm{~g} / \mathrm{yr}\) of \(\mathrm{CO}_{2}\). Assume that all this carbon is converted into glucose. (a) Calculate the energy stored by photosynthesis on land per year, in \(\mathrm{kJ} .\) (b) Calculate the average rate of conversion of solar energy into plant energy in megawatts, MW \((1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s})\). A large nuclear power plant produces about \(10^{3} \mathrm{MW}\). The energy of how many such nuclear power plants is equivalent to the solar energy conversion?

For the following processes, calculate the change in internal energy of the system and determine whether the process is endothermic or exothermic: (a) A balloon is cooled by removing \(0.655 \mathrm{~kJ}\) of heat. It shrinks on cooling, and the atmosphere does \(382 \mathrm{~J}\) of work on the balloon. (b) A \(100.0-\mathrm{g}\) bar of gold is heated from \(25^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\) during which it absorbs \(322 \mathrm{~J}\) of heat. Assume the volume of the gold bar remains constant.

(a) Which of the following cannot leave or enter a closed system: heat, work, or matter? (b) Which cannot leave or enter an isolated system? (c) What do we call the part of the universe that is not part of the system?

Suppose that the gas-phase reaction \(2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow\) \(2 \mathrm{NO}_{2}(g)\) were carried out in a constant-volume container at constant temperature. (a) Would the measured heat change represent \(\Delta H\) or \(\Delta E ?(\mathbf{b})\) If there is a difference, which quantity is larger for this reaction? (c) Explain your answer to part (b).

Consider the decomposition of liquid benzene, \(\mathrm{C}_{6} \mathrm{H}_{6}(I),\) to gaseous acetylene, \(\mathrm{C}_{2} \mathrm{H}_{2}(g)\) $$ \mathrm{C}_{6} \mathrm{H}_{6}(l) \longrightarrow 3 \mathrm{C}_{2} \mathrm{H}_{2}(g) \quad \Delta H=+630 \mathrm{~kJ} $$ (a) What is the enthalpy change for the reverse reaction? (b) What is \(\Delta H\) for the formation of 1 mol of acetylene? (c) Which is more likely to be thermodynamically favored, the forward reaction or the reverse reaction? (d) If \(\mathrm{C}_{6} \mathrm{H}_{6}(g)\) were consumed instead of \(\mathrm{C}_{6} \mathrm{H}_{6}(l)\), would you expect the magnitude of \(\Delta H\) to increase, decrease, of stay the same? Explain.

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