/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 80 Calculate \(\Delta H^{\circ}\) f... [FREE SOLUTION] | 91Ó°ÊÓ

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Calculate \(\Delta H^{\circ}\) for each of the following reactions using the data in Appendix 4: $$ \begin{array}{c} 4 \mathrm{Na}(s)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{Na}_{2} \mathrm{O}(s) \\ 2 \mathrm{Na}(s)+2 \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow 2 \mathrm{NaOH}(a q)+\mathrm{H}_{2}(g) \\ 2 \mathrm{Na}(s)+\mathrm{CO}_{2}(g) \longrightarrow \mathrm{Na}_{2} \mathrm{O}(s)+\mathrm{CO}(\mathrm{g}) \end{array} $$ Explain why a water or carbon dioxide fire extinguisher might not be effective in putting out a sodium fire.

Short Answer

Expert verified
The standard enthalpy change for each reaction is as follows: 1) \(∆H° = -832\) kJ/mol 2) \(∆H° = -364.6\) kJ/mol 3) \(∆H° = -133\) kJ/mol Water is not suitable for extinguishing sodium fires because it reacts with sodium to produce sodium hydroxide and combustible hydrogen gas. Carbon dioxide is also not effective as it reacts with sodium to form sodium oxide and carbon monoxide, which do not help in extinguishing the fire. A special Class D fire extinguisher should be used for sodium fires.

Step by step solution

01

1) Reaction 1: 4 Na(s) + O2(g) → 2 Na2O(s)

First, find the standard enthalpies of formation (∆Hf°) for each substance in Appendix 4: Na(s): 0 kJ/mol (element in standard state) O2(g): 0 kJ/mol (element in standard state) Na2O(s): -416 kJ/mol Next, apply the formula to calculate ∆H° for the reaction: ∆H° = [2(∆Hf° of Na2O)] - [4(∆Hf° of Na) + 1(∆Hf° of O2)] ∆H° = [2(-416)] - [4(0) + 0] ∆H° = -832 kJ/mol
02

2) Reaction 2: 2 Na(s) + 2 H2O(l) → 2 NaOH(aq) + H2(g)

Find ∆Hf° for each substance in Appendix 4: Na(s): 0 kJ/mol (element in standard state) H2O(l): -285.8 kJ/mol NaOH(aq): -468.1 kJ/mol H2(g): 0 kJ/mol (element in standard state) Calculate ∆H° for the reaction: ∆H° = [2(∆Hf° of NaOH) + 1(∆Hf° of H2)] - [2(∆Hf° of Na) + 2(∆Hf° of H2O)] ∆H° = [2(-468.1) + 0] - [2(0) + 2(-285.8)] ∆H° = (-936.2) - (-571.6) ∆H° = -364.6 kJ/mol
03

3) Reaction 3: 2 Na(s) + CO2(g) → Na2O(s) + CO(g)

Find ∆Hf° for each substance in Appendix 4: Na(s): 0 kJ/mol (element in standard state) CO2(g): -393.5 kJ/mol Na2O(s): -416 kJ/mol CO(g): -110.5 kJ/mol Calculate ∆H° for the reaction: ∆H° = [1(∆Hf° of Na2O) + 1(∆Hf° of CO)] - [2(∆Hf° of Na) + 1(∆Hf° of CO2)] ∆H° = [(-416) + (-110.5)] - [2(0) + (-393.5)] ∆H° = (-526.5) - (-393.5) ∆H° = -133 kJ/mol In the first reaction, sodium reacts with oxygen, generating a large amount of heat. This suggests that sodium fires burn extremely hot, which may make it difficult to extinguish. Water is not suitable to extinguish sodium fires because of the second reaction. Water reacts with sodium to produce sodium hydroxide and hydrogen gas. Hydrogen gas is combustible, so using water to extinguish a sodium fire may make it more intense or even explosive. Using carbon dioxide as the fire extinguisher may not be effective due to the third reaction. Sodium can react with carbon dioxide to form sodium oxide and carbon monoxide, both of which do not help in putting out the fire. Considering these results, neither water nor carbon dioxide fire extinguishers are suitable for extinguishing sodium fires. A special Class D fire extinguisher should be used to effectively put out a sodium fire.

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Key Concepts

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

Enthalpy of Formation
The enthalpy of formation, denoted as \( \Delta H^\circ_f \), is a critical concept in thermochemistry. It's defined as the heat change that occurs when one mole of a compound is formed from its elements in their standard states. For instance, when sodium (\

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Most popular questions from this chapter

The specific heat capacity of silver is \(0.24 \mathrm{~J} /{ }^{\circ} \mathrm{C} \cdot \mathrm{g}\). a. Calculate the energy required to raise the temperature of \(150.0 \mathrm{~g}\) Ag from \(273 \mathrm{~K}\) to \(298 \mathrm{~K}\). b. Calculate the energy required to raise the temperature of \(1.0 \mathrm{~mol} \mathrm{Ag}\) by \(1.0^{\circ} \mathrm{C}\) (called the molar heat capacity of silver). c. It takes \(1.25 \mathrm{~kJ}\) of energy to heat a sample of pure silver from \(12.0^{\circ} \mathrm{C}\) to \(15.2^{\circ} \mathrm{C}\). Calculate the mass of the sample of silver.

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On Easter Sunday, April 3, 1983 , nitric acid spilled from a tank car near downtown Denver, Colorado. The spill was neutralized with sodium carbonate: \(2 \mathrm{HNO}_{3}(a q)+\mathrm{Na}_{2} \mathrm{CO}_{3}(s) \longrightarrow 2 \mathrm{NaNO}_{3}(a q)+\mathrm{H}_{2} \mathrm{O}(l)+\mathrm{CO}_{2}(g)\) a. Calculate \(\Delta H^{\circ}\) for this reaction. Approximately \(2.0 \times 10^{4}\) gal nitric acid was spilled. Assume that the acid was an aqueous solution containing \(70.0 \% \mathrm{HNO}_{3}\) by mass with a density of \(1.42 \mathrm{~g} / \mathrm{cm}^{3}\). What mass of sodium carbonate was required for complete neutralization of the spill, and what quantity of heat was evolved? \(\left(\Delta H_{\mathrm{f}}^{\circ}\right.\) for \(\mathrm{NaNO}_{3}(a q)=-467 \mathrm{~kJ} / \mathrm{mol}\) ) b. According to The Denver Post for April 4, 1983 , authorities feared that dangerous air pollution might occur during the neutralization. Considering the magnitude of \(\Delta H^{\circ}\), what was their major concern?

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