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Question

Equation for Helmholtz free energy is :

A
F=U+TS
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B
F=TSU
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C
F=UTS
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D
F=U×TS
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Solution

The correct option is C F=UTS

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. The negative of the difference in the Helmholtz energy 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 is not held constant, part of this work will be performed as boundary work. The Helmholtz energy is commonly used for systems held at constant volume.

The Helmholtz energy is defined as:

F=UTS

Where,

F is the Helmholtz free energy (joules)

U is the internal energy of the system (SI: joules)

T is the absolute temperature (kelvin) of the surroundings, modeled as a heat bath,

S is the entropy of the system (SI: joules per kelvin)


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