Consider a volume V filled with N atoms of monatomic ideal gas. 1. What is the Helmholtz energy of
Blaine Stein
Answered question
2022-05-09
1. What is the Helmholtz energy of this system? (Be sure to substitute the form of any relevant partition function(s) from your formula sheet).
2. Base don the Thermo dynamic square, what is there lation ship between Helmholtz energy and pressure. (Give a general thermodynamic expression not involving the par- tition function.)
3. Combine your previous two answers to generate a simplified expression (involving no derivatives) for the pressure of the ideal monatomic gas
Answer & Explanation
Marco Meyer
Beginner2022-05-10Added 16 answers
1.) Helmholtz free energy is a thermodynamics concept in which, thermodynamic potential is used to measure the work of a closed system with constant temperature and volume. It can be defined in the form of the following equation :
F = U - TS ,
Where,
F is the Helmholtz free energy in Joules
U is the internal energy of the system in Joules
T is the absolute temperature of the surroundings in Kelvin
S is the entropy of the system in joules per Kelvin
2.) At constant temperature, the Helmholtz free energy is minimized at equilibrium. For example, in explosives research Helmholtz free energy is often used, since explosive reactions by their nature induce pressure changes. It is also frequently used to define fundamental equations of state of pure substances.
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