Temperature given internal energy and Helmholtz free entropy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Liquid = Internal Energy/(Entropy-Helmholtz Free Entropy)
T = U/(S-Φ)
This formula uses 4 Variables
Variables Used
Temperature of Liquid - (Measured in Kelvin) - The temperature of liquid is the degree or intensity of heat present in a liquid.
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.
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.
Helmholtz Free Entropy - (Measured in Joule per Kelvin) - The Helmholtz Free Entropy is used to express the effect of electrostatic forces in an electrolyte on its thermodynamic state.
STEP 1: Convert Input(s) to Base Unit
Internal Energy: 121 Joule --> 121 Joule No Conversion Required
Entropy: 16.8 Joule per Kelvin --> 16.8 Joule per Kelvin No Conversion Required
Helmholtz Free Entropy: 70 Joule per Kelvin --> 70 Joule per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = U/(S-Φ) --> 121/(16.8-70)
Evaluating ... ...
T = -2.27443609022556
STEP 3: Convert Result to Output's Unit
-2.27443609022556 Kelvin --> No Conversion Required
FINAL ANSWER
-2.27443609022556 -2.274436 Kelvin <-- Temperature of Liquid
(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai
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Temperature given Gibbs free entropy
​ LaTeX ​ Go Temperature of Liquid = ((Internal Energy+(Pressure*Volume))/(Entropy-Gibbs Free Entropy))
Temperature given Gibbs and Helmholtz free entropy
​ LaTeX ​ Go Temperature of Liquid = (Pressure*Volume)/(Helmholtz Free Entropy-Gibbs Free Entropy)
Temperature given internal energy and Helmholtz free entropy
​ LaTeX ​ Go Temperature of Liquid = Internal Energy/(Entropy-Helmholtz Free Entropy)
Temperature given Helmholtz free energy and Helmholtz free entropy
​ LaTeX ​ Go Temperature of Liquid = -(Helmholtz Free Energy of System/Helmholtz Free Entropy)

Temperature given internal energy and Helmholtz free entropy Formula

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

What is Debye–Huckel limiting law?

The chemists Peter Debye and Erich Hückel noticed that solutions that contain ionic solutes do not behave ideally even at very low concentrations. So, while the concentration of the solutes is fundamental to the calculation of the dynamics of a solution, they theorized that an extra factor that they termed gamma is necessary to the calculation of the activity coefficients of the solution. Hence they developed the Debye–Hückel equation and Debye–Hückel limiting law. The activity is only proportional to the concentration and is altered by a factor known as the activity coefficient. This factor takes into account the interaction energy of ions in the solution.

How to Calculate Temperature given internal energy and Helmholtz free entropy?

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

How to calculate Temperature given internal energy and Helmholtz free entropy using this online calculator? To use this online calculator for Temperature given internal energy and Helmholtz free entropy, enter Internal Energy (U), Entropy (S) & Helmholtz Free Entropy (Φ) and hit the calculate button. Here is how the Temperature given internal energy and Helmholtz free entropy calculation can be explained with given input values -> -2.274436 = 121/(16.8-70).

FAQ

What is Temperature given internal energy and Helmholtz free entropy?
The Temperature given internal energy and Helmholtz free entropy formula is defined as the ratio of internal energy to the subtraction of Helmholtz free entropy from the entropy of the system and is represented as T = U/(S-Φ) or Temperature of Liquid = Internal Energy/(Entropy-Helmholtz Free 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, Entropy is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work & The Helmholtz Free Entropy is used to express the effect of electrostatic forces in an electrolyte on its thermodynamic state.
How to calculate Temperature given internal energy and Helmholtz free entropy?
The Temperature given internal energy and Helmholtz free entropy formula is defined as the ratio of internal energy to the subtraction of Helmholtz free entropy from the entropy of the system is calculated using Temperature of Liquid = Internal Energy/(Entropy-Helmholtz Free Entropy). To calculate Temperature given internal energy and Helmholtz free entropy, you need Internal Energy (U), Entropy (S) & Helmholtz Free Entropy (Φ). With our tool, you need to enter the respective value for Internal Energy, Entropy & Helmholtz Free 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 of Liquid?
In this formula, Temperature of Liquid uses Internal Energy, Entropy & Helmholtz Free Entropy. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Temperature of Liquid = -(Helmholtz Free Energy of System/Helmholtz Free Entropy)
  • Temperature of Liquid = ((Internal Energy+(Pressure*Volume))/(Entropy-Gibbs Free Entropy))
  • Temperature of Liquid = (Pressure*Volume)/(Helmholtz Free Entropy-Gibbs Free Entropy)
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