Internal Energy Calculation

Internal energy calculation determines the change in a system’s total microscopic energy, including molecular motion, bonding, and intermolecular interactions. In chemistry, the first law of thermodynamics relates this change to heat transferred and work performed: ΔU = q + w, with signs determined by whether energy enters or leaves the system; for expansion work, w = −PΔV under constant external pressure. Chemists use these relationships with calorimetry data, reaction conditions, and measured pressure or volume changes to quantify energy transformations. Internal energy calculations help interpret chemical reactions, compare thermodynamic processes, and predict how heat and work affect closed systems.

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JoVE Core - Chemistry
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Internal Energy

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2020

The total of all possible kinds of energy present in a substance is called the internal energy (U), sometimes symbolized as E. Suppose a system with initial internal energy, Uinitial, undergoes a change in energy (transfer of work or heat), and the final internal energy of the system is Ufinal. Change in internal energy equals the difference between Ufinal and Uinitial. Although the values for Ufinal and Uinitial cannot be determined for a system, the first law of thermodynamics only...

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JoVE Core - Physics

Internal Energy

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2025

The internal energy of a thermodynamic system is the sum of the kinetic and potential energies of all the molecules or entities in the system. The kinetic energy of an individual molecule includes contributions due to its rotation and vibration, as well as its translational energy. The potential energy is associated only with the interactions between one molecule and the other molecules of the system. Neither the system's location nor its motion is of any consequence as far as the internal...

Calculating Standard Free Energy Changes

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2020

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...

Calculating Internal Rate of Return

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2024

The IRR is the discount rate that makes a project or investment's Net Present Value (NPV) equal to zero. For instance, consider a renewable energy company evaluating a project that requires an initial investment of $200,000, with expected annual cash flows of $50,000 over the next six years. To determine the IRR for this project, the NPV is computed for different rates on a trial-and-error basis using a financial calculator or an Excel spreadsheet. At a 10% discount rate, the NPV is $17,763,...

Internal Energy and Formulation of the First Law

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2026

In thermodynamics, energy is used to describe and predict the behavior of physical systems. The internal energy (U) of a system is the sum of all microscopic forms of energy within the system, including molecular kinetic and potential energies, as well as contributions from electronic and nuclear energy levels. Although the individual components of internal energy cannot be measured directly, the internal energy of any system is well defined within thermodynamic theory.The first law of...

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