Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Standard heat of formation, [tex]\Delta H_{i}[/tex], is defined as the enthalpy change for the formation of one mole of a substance from its constituent elements in their standard states. Thus, elements in their standard states have [tex]\Delta H_i = 0[/tex]. Heat of formation values are used to calculate the enthalpy change of any reaction.

Consider, for example, the reaction:
[tex]\[ 2 NO (g) + O_2(g) \rightleftharpoons 2 NO_2(g) \][/tex]

The heat of formation values is given by the following table:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Substance & \begin{tabular}{c}
$\Delta H_{f}^{\circ}$ \\
$(kJ/mol)$
\end{tabular} \\
\hline
$NO (g)$ & 90.2 \\
\hline
$O_2(g)$ & 0 \\
\hline
$NO_2(g)$ & 33.2 \\
\hline
\end{tabular}
\][/tex]

The standard heat of reaction for the overall reaction is:
[tex]\[
\begin{aligned}
\Delta H_{\text{rxn}} &= \Delta H_i \text{ (products)} - \Delta H_i \text{ (reactants)} \\
&= 2(33.2) - 2(90.2) \\
&= -114 kJ
\end{aligned}
\][/tex]

Part A

For which of the following reactions is [tex]\Delta H_{m}^\circ[/tex] equal to [tex]\Delta H_{i}^\circ[/tex] of the product(s)? You do not need to look up any values to answer this question. Check all that apply.

1. [tex]Na (s) + \frac{1}{2} F_2 (l) \rightarrow NaF (s)[/tex]
2. [tex]CaCO_3 (s) \rightarrow CaO (s) + CO_2 (g)[/tex]
3. [tex]CO (g) + \frac{1}{2} O_2 (g) \rightarrow CO_2 (g)[/tex]
4. [tex]2 Na (s) + F_2 (g) \rightarrow 2 NaF (s)[/tex]
5. [tex]Na (s) + \frac{1}{2} F_2 (g) \rightarrow NaF (s)[/tex]
6. [tex]C (s, \text{graphite}) + O_2 (g) \rightarrow CO_2 (g)[/tex]

Submit

Hints:
- Look again at the states of the reactants.
- The heat of formation is defined by a reaction in which the reactants are elements in their standard states.
- Review Hint 1: How to approach the problem.


Sagot :

To determine for which of the given reactions the enthalpy change, [tex]\(\Delta H_m^\rho\)[/tex], is equal to the standard enthalpy of formation, [tex]\(\Delta H_i^\rho\)[/tex], of the product(s), we need to identify the reactions where the reactants are in their standard states and form the products directly.

The definition of the standard enthalpy of formation, [tex]\(\Delta H_i^\rho\)[/tex], is the enthalpy change when one mole of a compound is formed from its constituent elements in their standard states. Elements in their standard states have an enthalpy of formation, [tex]\(\Delta H_i^\rho\)[/tex], of zero.

Let's analyze each reaction one by one:

1. Na (s) + [tex]\(\frac{1}{2}\)[/tex] F[tex]\(_2\)[/tex] (l) [tex]\(\rightarrow\)[/tex] NaF (s)
- Sodium (Na) is in its standard state (solid).
- Fluorine (F[tex]\(_2\)[/tex]) is in the liquid state, but its standard state is gaseous.
- Hence, the reactants are not all in their standard states.
- This reaction does not meet the criteria.

2. CaCO[tex]\(_3\)[/tex] (g) [tex]\(\rightarrow\)[/tex] CaO + CO[tex]\(_2\)[/tex] (g)
- This is a decomposition reaction, breaking down calcium carbonate into calcium oxide and carbon dioxide.
- It’s not forming a compound from elements in their standard states.
- This reaction does not meet the criteria.

3. CO (g) + [tex]\(\frac{1}{2}\)[/tex] O[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] CO[tex]\(_2\)[/tex] (g)
- Carbon monoxide (CO) and oxygen (O[tex]\(_2\)[/tex]) are both in their standard gaseous states.
- The reaction forms carbon dioxide (CO[tex]\(_2\)[/tex]) directly.
- This reaction meets the criteria.

4. 2 Na (s) + F[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] 2 NaF (s)
- Sodium (Na) is in its standard state (solid), and fluorine (F[tex]\(_2\)[/tex]) is in its standard state (gas).
- However, this reaction involves the formation of two moles of NaF, not one mole.
- This reaction does not meet the criteria strictly as per the standard formation definition.

5. Na (s) + [tex]\(\frac{1}{2}\)[/tex] F[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] NaF (s)
- Sodium (Na) is in its standard state (solid), and fluorine (F[tex]\(_2\)[/tex]) is in its standard state (gas).
- The reaction forms one mole of NaF.
- This reaction meets the criteria.

6. C (s, graphite) + O[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] CO[tex]\(_2\)[/tex] (g)
- Carbon in its graphite form is in its standard state (solid), and oxygen (O[tex]\(_2\)[/tex]) is in its standard state (gas).
- The reaction forms carbon dioxide (CO[tex]\(_2\)[/tex]) directly.
- This reaction meets the criteria.

Therefore, the reactions for which [tex]\(\Delta H_m^\rho\)[/tex] is equal to [tex]\(\Delta H_i^\rho\)[/tex] of the product(s) are:

- CO (g) + [tex]\(\frac{1}{2}\)[/tex] O[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] CO[tex]\(_2\)[/tex] (g)
- Na (s) + [tex]\(\frac{1}{2}\)[/tex] F[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] NaF (s)
- C (s, graphite) + O[tex]\(_2\)[/tex] (g) [tex]\(\rightarrow\)[/tex] CO[tex]\(_2\)[/tex] (g)
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.