Temperature using Helmholtz Free Energy, Internal Energy and Entropy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy
T = (U-A)/S
This formula uses 4 Variables
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Internal Energy - (Measured in Joule) - The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.
Helmholtz Free Energy - (Measured in Joule) - Helmholtz free energy is a thermodynamics concept in which, the thermodynamic potential is used to measure the work of a closed system.
Entropy - (Measured in Joule per Kelvin) - Entropy is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work.
STEP 1: Convert Input(s) to Base Unit
Internal Energy: 1.21 Kilojoule --> 1210 Joule (Check conversion ​here)
Helmholtz Free Energy: 1.1 Kilojoule --> 1100 Joule (Check conversion ​here)
Entropy: 16.8 Joule per Kelvin --> 16.8 Joule per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (U-A)/S --> (1210-1100)/16.8
Evaluating ... ...
T = 6.54761904761905
STEP 3: Convert Result to Output's Unit
6.54761904761905 Kelvin --> No Conversion Required
FINAL ANSWER
6.54761904761905 6.547619 Kelvin <-- Temperature
(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Surathkal
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Temperature using Helmholtz Free Energy, Internal Energy and Entropy Formula

​LaTeX ​Go
Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy
T = (U-A)/S

What is Helmholtz Free Energy?

In thermodynamics, the Helmholtz free energy is a thermodynamic potential that measures the useful work obtainable from a closed thermodynamic system at a constant temperature and volume (isothermal, isochoric). The negative of the change in the Helmholtz energy during a process is equal to the maximum amount of work that the system can perform in a thermodynamic process in which volume is held constant. If the volume were not held constant, part of this work would be performed as boundary work. This makes the Helmholtz energy useful for systems held at constant volume.

What is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Temperature using Helmholtz Free Energy, Internal Energy and Entropy?

Temperature using Helmholtz Free Energy, Internal Energy and Entropy calculator uses Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy to calculate the Temperature, The Temperature using Helmholtz Free Energy, Internal Energy and Entropy formula is defined as the ratio of the difference of internal energy and Helmholtz energy to the entropy. Temperature is denoted by T symbol.

How to calculate Temperature using Helmholtz Free Energy, Internal Energy and Entropy using this online calculator? To use this online calculator for Temperature using Helmholtz Free Energy, Internal Energy and Entropy, enter Internal Energy (U), Helmholtz Free Energy (A) & Entropy (S) and hit the calculate button. Here is how the Temperature using Helmholtz Free Energy, Internal Energy and Entropy calculation can be explained with given input values -> 6.547619 = (1210-1100)/16.8.

FAQ

What is Temperature using Helmholtz Free Energy, Internal Energy and Entropy?
The Temperature using Helmholtz Free Energy, Internal Energy and Entropy formula is defined as the ratio of the difference of internal energy and Helmholtz energy to the entropy and is represented as T = (U-A)/S or Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy. The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state, Helmholtz free energy is a thermodynamics concept in which, the thermodynamic potential is used to measure the work of a closed system & Entropy is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work.
How to calculate Temperature using Helmholtz Free Energy, Internal Energy and Entropy?
The Temperature using Helmholtz Free Energy, Internal Energy and Entropy formula is defined as the ratio of the difference of internal energy and Helmholtz energy to the entropy is calculated using Temperature = (Internal Energy-Helmholtz Free Energy)/Entropy. To calculate Temperature using Helmholtz Free Energy, Internal Energy and Entropy, you need Internal Energy (U), Helmholtz Free Energy (A) & Entropy (S). With our tool, you need to enter the respective value for Internal Energy, Helmholtz Free Energy & Entropy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Temperature?
In this formula, Temperature uses Internal Energy, Helmholtz Free Energy & Entropy. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature = modulus((Enthalpy-Gibbs Free Energy)/Entropy)
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