Under conditions of constant pressure, for which of the following reactions is the magnitude of pressure-volume work going to be the smallest? w = -PAV A) BaO(s) + SO3(g) – BaSO,(s) B) 2NO(g) + O2(g) → 2NO2(g) C) 2H,O2() → 2H,0(1) + O2(g) D) 2KCIO3(s) → 2KCI(s) + 302(g) E) H2(g) + Cl2(g) → 2HCI(g)

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**Title: Pressure-Volume Work in Chemical Reactions**

**Understanding the Impact of Pressure-Volume Work:**

In the study of thermodynamics, understanding the concept of pressure-volume work is essential. This type of work is represented by the equation:

\[ w = -P\Delta V \]

This equation signifies that the work done by or on the system involves pressure (\(P\)) and the change in volume (\(\Delta V\)). 

**Objective:**

Under conditions of constant pressure, determine which of the following reactions results in the smallest magnitude of pressure-volume work.

**Reaction Options:**

A) \( \text{BaO(s) + SO}_3\text{(g)} \rightarrow \text{BaSO}_4\text{(s)} \)

B) \( 2\text{NO(g)} + \text{O}_2\text{(g)} \rightarrow 2\text{NO}_2\text{(g)} \)

C) \( 2\text{H}_2\text{O}_2\text{(l)} \rightarrow 2\text{H}_2\text{O(l)} + \text{O}_2\text{(g)} \)

D) \( 2\text{KClO}_3\text{(s)} \rightarrow 2\text{KCl(s)} + 3\text{O}_2\text{(g)} \)

E) \( \text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)} \)

**Discussion:**

To determine which reaction has the smallest magnitude of pressure-volume work, consider the change in the number of moles of gas from reactants to products, as this affects the volume change (\(\Delta V\)). Decreases in gas moles generally result in smaller pressure-volume work.
Transcribed Image Text:**Title: Pressure-Volume Work in Chemical Reactions** **Understanding the Impact of Pressure-Volume Work:** In the study of thermodynamics, understanding the concept of pressure-volume work is essential. This type of work is represented by the equation: \[ w = -P\Delta V \] This equation signifies that the work done by or on the system involves pressure (\(P\)) and the change in volume (\(\Delta V\)). **Objective:** Under conditions of constant pressure, determine which of the following reactions results in the smallest magnitude of pressure-volume work. **Reaction Options:** A) \( \text{BaO(s) + SO}_3\text{(g)} \rightarrow \text{BaSO}_4\text{(s)} \) B) \( 2\text{NO(g)} + \text{O}_2\text{(g)} \rightarrow 2\text{NO}_2\text{(g)} \) C) \( 2\text{H}_2\text{O}_2\text{(l)} \rightarrow 2\text{H}_2\text{O(l)} + \text{O}_2\text{(g)} \) D) \( 2\text{KClO}_3\text{(s)} \rightarrow 2\text{KCl(s)} + 3\text{O}_2\text{(g)} \) E) \( \text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)} \) **Discussion:** To determine which reaction has the smallest magnitude of pressure-volume work, consider the change in the number of moles of gas from reactants to products, as this affects the volume change (\(\Delta V\)). Decreases in gas moles generally result in smaller pressure-volume work.
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