Which of the following processes are exothermic? a. \(\mathrm{N}_{2}(g) \longrightarrow 2 \mathrm{~N}(g)\) b. \(\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{H}_{2} \mathrm{O}(s)\) c. \(\mathrm{Cl}_{2}(g) \longrightarrow 2 \mathrm{Cl}(g)\) d. \(2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(g)\) e. \(\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{O}(g)\)

Short Answer

Expert verified
The exothermic processes are (b) \(\mathrm{H}_{2}\mathrm{O}(l) \longrightarrow \mathrm{H}_{2}\mathrm{O}(s)\) and (d) \(2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2}\mathrm{O}(g)\).

Step by step solution

01

Analyze Reaction (a)

: In Reaction (a), we have the process: \(\mathrm{N}_{2}(g) \longrightarrow 2 \mathrm{N}(g)\) Here, the bond within the nitrogen molecule, which is a triple bond, is broken. Breaking a bond requires energy; hence this process is endothermic, not exothermic.
02

Analyze Reaction (b)

: In Reaction (b), we have the process: \(\mathrm{H}_{2}\mathrm{O}(l) \longrightarrow \mathrm{H}_{2}\mathrm{O}(s)\) Here, we are converting liquid water to solid water (ice). This process involves the release of energy due to the formation of a more stable, solid structure. The hydrogen bonds in ice are stronger and more stable than those in liquid water. Thus, this process is exothermic.
03

Analyze Reaction (c)

: In Reaction (c), we have the process: \(\mathrm{Cl}_{2}(g) \longrightarrow 2 \mathrm{Cl}(g)\) Here, the bond within the chlorine molecule is broken. Breaking a bond requires energy; hence this process is endothermic, not exothermic.
04

Analyze Reaction (d)

: In Reaction (d), we have the process: \(2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2}\mathrm{O}(g)\) This reaction is a combustion reaction where hydrogen gas reacts with oxygen gas to form water vapor. In this process, the energy released upon the formation of two O-H bonds in the water molecule is greater than the energy required to break the initial H-H and O=O bonds. Thus, this process is exothermic.
05

Analyze Reaction (e)

: In Reaction (e), we have the process: \(\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{O}(g)\) Here, the bond within the oxygen molecule is broken. Breaking a bond requires energy; hence this process is endothermic, not exothermic.
06

Answer:

: Based on the analysis of the given processes, the exothermic processes are (b) and (d).

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