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What is meant by the standard enthalpy of a reaction?

Short Answer

Expert verified
The standard enthalpy of a reaction is the enthalpy change at 1 atm and a specified temperature, usually with substances in their standard states.

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01

Introduction to Enthalpy

Enthalpy is a thermodynamic property of a system, usually denoted as \(H\), which represents the total heat content of the system. It is the sum of the internal energy of the system plus the product of pressure and volume.
02

Defining Standard Enthalpy

The standard enthalpy of a reaction, denoted as \(\Delta H^\circ\), is the enthalpy change that occurs in a system when reactants are converted to products under standard conditions, which are 1 atm pressure and a specified temperature (usually 298.15 K).
03

Conditions for Standard Enthalpy

Standard enthalpy is measured under constant pressure and assumes all reactants and products are in their standard states – the most stable physical form of the compound at 1 atm and the given temperature.
04

Expressing the Standard Enthalpy of Reaction

It is expressed as the difference between the total enthalpy of the products and the total enthalpy of the reactants: \(\Delta H^\circ = \Sigma H^\circ_{products} - \Sigma H^\circ_{reactants}\). A negative \(\Delta H^\circ\) indicates an exothermic reaction, while a positive \(\Delta H^\circ\) indicates an endothermic reaction.

Key Concepts

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

Thermodynamic Properties
Thermodynamic properties are essential to understanding how different forms of energy are converted and transferred in chemical reactions. These properties include enthalpy, entropy, and temperature, among others. Each property provides insight into a system's behavior under various conditions.
Enthalpy, for instance, helps us determine how much heat a system can store or release. When assessing reactions, thermodynamic properties play a crucial role in predicting whether a reaction will occur spontaneously and how energy efficient it will be.
  • Internal Energy: The total energy contained within a system.
  • Pressure and Volume: These contribute to a system's capacity to do work due to changes in its size, shape or external environment.
  • Heat Transfer: Understanding how heat transfers between systems can help in designing better reactions for industrial purposes.
By examining these properties under controlled conditions, scientists can optimize reactions for desired outcomes.
Enthalpy
Enthalpy is a vital concept in thermodynamics, representing the total heat content of a system. It is denoted by the symbol \(H\). Enthalpy combines a system's internal energy and the product of its pressure and volume.
This concept is essential for predicting heat changes in reactions conducted at constant pressure, which is typically the case in most laboratory settings.
In an easy-to-remember formula, it can be expressed as: \[H = U + PV\]where \(U\) is the internal energy, \(P\) is the pressure, and \(V\) is the volume.
  • Important Note: Enthalpy reflects a system's ability to release or absorb heat.
  • Practical Application: It helps measure the energy needed to break or form chemical bonds.
These reasons make enthalpy fundamental in studies investigating reaction kinetics and energy efficiency.
Exothermic and Endothermic Reactions
Exothermic and endothermic reactions are two types of chemical reactions that either release or absorb heat, respectively. Understanding them helps in understanding energy changes during reactions.
**Exothermic Reactions:** These reactions release heat into the surroundings, indicated by a negative enthalpy change (\( \Delta H < 0\)). Such reactions are typical in processes like combustion and respiration.
  • Examples: Burning wood, explosion of dynamite
  • Energy Focus: Releases energy, usually in the form of heat.
**Endothermic Reactions:** These reactions absorb heat from their surroundings, reflected by a positive enthalpy change (\( \Delta H > 0\)). These are seen in photosynthesis and melatonin synthesis.
  • Examples: Melting ice, photosynthesis
  • Energy Focus: Requires energy input to proceed.
Understanding these types of reactions helps predict how changes in conditions can affect reaction rates and extents.
Standard Conditions
Standard conditions are predefined values of temperature and pressure, set for the comparison of thermodynamic data. They simplify calculations and ensure consistency in communicating scientific results.
Typically, standard conditions refer to a pressure of 1 atmosphere (atm) and a temperature of 298.15 Kelvin (25 °C). It’s important that all reactants and products are in their standard states for comparisons to be meaningful.
  • Standard State: The most stable physical form of a substance at 1 atm and the specified temperature.
  • Consistency: Provides a reference point for comparing enthalpy values across different studies.
  • Relevance: The agreed-upon global standard among scientists for data presentation.
These conditions are crucial for calculating standard enthalpies, allowing accurate evaluation of reactions under controlled settings.
Enthalpy Change
Enthalpy change, denoted as \( \Delta H\), is a measure of the heat absorbed or released during a reaction at constant pressure. It provides insight into the energy dynamics of chemical processes. This change can indicate whether a reaction is exothermic or endothermic.
To calculate enthalpy change (\( \Delta H\)), you need the enthalpy values of products and reactants:
\[ \Delta H = \Sigma H_{products} - \Sigma H_{reactants} \]
  • Negative \( \Delta H\): In exothermic reactions, heat is released, making \( \Delta H\) negative.
  • Positive \( \Delta H\): In endothermic reactions, heat is absorbed, resulting in a positive \( \Delta H\).
  • Practical Importance: Used in designing processes like heating systems or endothermic reaction-driven cooling mechanisms.
Understanding enthalpy change helps optimize reactions for efficiency in energy usage and control temperature in synthetic and production settings.

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Most popular questions from this chapter

At \(25^{\circ} \mathrm{C}\), the standard enthalpy of formation of \(\mathrm{HF}(a q)\) is \(-320.1 \mathrm{~kJ} / \mathrm{mol} ;\) of \(\mathrm{OH}^{-}(a q),\) it is \(-229.6 \mathrm{~kJ} / \mathrm{mol} ;\) of \(\mathrm{F}^{-}(a q)\) it is \(-329.1 \mathrm{~kJ} / \mathrm{mol} ;\) and of \(\mathrm{H}_{2} \mathrm{O}(l),\) it is \(-285.8 \mathrm{~kJ} / \mathrm{mol}\). (a) Calculate the standard enthalpy of neutralization of \(\mathrm{HF}(a q)\) \(\mathrm{HF}(a q)+\mathrm{OH}^{-}(a q) \longrightarrow \mathrm{F}^{-}(a q)+\mathrm{H}_{2} \mathrm{O}(l)\) (b) Using the value of \(-56.2 \mathrm{~kJ}\) as the standard enthalpy change for the reaction \(\mathrm{H}^{+}(a q)+\mathrm{OH}^{-}(a q) \longrightarrow \mathrm{H}_{2} \mathrm{O}(l)\) calculate the standard enthalpy change for the reaction \(\mathrm{HF}(a q) \longrightarrow \mathrm{H}^{+}(a q)+\mathrm{F}^{-}(a q)\)

Determine the amount of heat (in kJ) given off when \(1.26 \times 10^{4} \mathrm{~g}\) of ammonia is produced according to the equation \(\mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g) \quad \Delta H_{\mathrm{rxn}}^{\circ}=-92.6 \mathrm{~kJ} / \mathrm{mol}\) Assume that the reaction takes place under standardstate conditions at \(25^{\circ} \mathrm{C}\).

Explain the cooling effect experienced when ethanol is rubbed on your skin, given that \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(g) \quad \Delta H^{\circ}=42.2 \mathrm{~kJ} / \mathrm{mol}\)

Glauber's salt, sodium sulfate decahydrate \(\left(\mathrm{Na}_{2} \mathrm{SO}_{4} .\right.\) \(\left.10 \mathrm{H}_{2} \mathrm{O}\right),\) undergoes a phase transition (i.e., melting or freezing) at a convenient temperature of about \(32^{\circ} \mathrm{C}\) : \(\begin{aligned}{\mathrm{Na}_{2} \mathrm{SO}_{4} \cdot 10 \mathrm{H}_{2} \mathrm{O}(s) \longrightarrow \mathrm{Na}_{2} \mathrm{SO}_{4} \cdot 10 \mathrm{H}_{2} \mathrm{O}(l)}{\Delta H^{\circ}} &=74.4 \mathrm{~kJ} / \mathrm{mol} \end{aligned}\) As a result, this compound is used to regulate the temperature in homes. It is placed in plastic bags in the ceiling of a room. During the day, the endothermic melting process absorbs heat from the surroundings, cooling the room. At night, it gives off heat as it freezes. Calculate the mass of Glauber's salt in kilograms needed to lower the temperature of air in a room by \(8.2^{\circ} \mathrm{C}\). The mass of air in the room is \(605.4 \mathrm{~kg} ;\) the specific heat of air is \(1.2 \mathrm{~J} / \mathrm{g} \cdot{ }^{\circ} \mathrm{C}\).

Define these terms: thermochemistry, exothermic process, endothermic process.

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