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Related Concept Videos

Entropy02:39

Entropy

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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Entropy01:18

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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
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Standard Entropy Change for a Reaction03:00

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Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.
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Calculating Standard Free Energy Changes02:49

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The free energy change for a reaction that occurs under the standard conditions of 1 bar pressure and at 298 K is called the standard free energy change. Since free energy is a state function, its value depends only on the conditions of the initial and final states of the system. A convenient and common approach to the calculation of free energy changes for physical and chemical reactions is by use of widely available compilations of standard state thermodynamic data. One method involves the...
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Aromatic Hydrocarbon Anions: Structural Overview01:18

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Neutral hydrocarbons like cyclopentadiene with an odd number of carbon atoms and one intervening CH2 group in the ring are not aromatic. Cyclopentadiene with 4 π electrons does not satisfy the 4n + 2 π electron rule. Additionally, the intervening CH2 group is sp3 hybridized and lacks a vacant p orbital, thereby interrupting the overlap of p orbitals in a continuous manner and preventing the delocalization of π electrons throughout the ring.
Due to the absence of continuous...
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Aromatic Hydrocarbon Cations: Structural Overview01:18

Aromatic Hydrocarbon Cations: Structural Overview

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Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
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Accurate entropy calculation for large flexible hydrocarbons using a multi-structural 2-dimensional torsion method.

Junjun Wu1, Hongbo Ning, Xuefei Xu

  • 1Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, New Territories, Hong Kong. renwei@mae.cuhk.edu.hk.

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A new multi-structural 2-dimensional torsion (MS-2DT) method accurately predicts entropy for large molecules. This computationally affordable approach addresses conformational torsional anharmonicity in combustion kinetic modeling.

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Area of Science:

  • Thermodynamics
  • Combustion Chemistry
  • Computational Chemistry

Background:

  • Accurate entropy prediction is crucial for combustion kinetic modeling.
  • Conformational torsional anharmonicity significantly impacts entropy calculations.
  • The multi-structural torsion (MS-T) method, while accurate, is computationally prohibitive for large molecules.

Purpose of the Study:

  • To develop a computationally efficient method for predicting entropy in large flexible molecules.
  • To accurately account for conformational torsional anharmonicity.
  • To reduce the computational cost associated with traditional MS-T methods.

Main Methods:

  • Proposed a multi-structural 2-dimensional torsion (MS-2DT) method utilizing minimally coupled torsions.
  • Generated conformer space using 2D coupled torsion combinations (size CN2·9).
  • Calculated standard entropy and heat capacity for C6-C8 alkanes (5-7 torsions) from 200-2000 K.

Main Results:

  • MS-2DT calculations showed excellent agreement with the benchmark MS-T method.
  • Observed small deviations: -0.19 ± 0.15 cal mol-1 K-1 for entropy and -0.10 ± 0.21 cal mol-1 K-1 for heat capacity.
  • Demonstrated improved accuracy for n-decane (9 torsions) compared to conventional methods.

Conclusions:

  • The MS-2DT method offers an affordable and accurate solution for treating conformational torsional anharmonicity in large alkanes.
  • This approach enhances the feasibility of entropy prediction in complex molecular systems.
  • The MS-2DT method is a valuable tool for advancing combustion kinetic modeling.