Energy needed to decrease or increase entropy?

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SUMMARY

The discussion centers on the relationship between entropy and energy requirements in thermodynamic systems. It establishes that increasing the entropy of a low entropy system requires a certain amount of energy, denoted as x. In contrast, increasing the entropy of a high entropy system may require more than x or less than x, depending on the system's temperature. The conversation highlights that the energy needed for incremental changes in entropy is linked to the system's temperature, with higher temperatures generally necessitating more energy for such changes.

PREREQUISITES
  • Understanding of thermodynamic concepts, particularly entropy and internal energy.
  • Familiarity with the principles of thermodynamic equilibrium.
  • Knowledge of the relationship between temperature and energy in thermodynamic systems.
  • Basic grasp of partial derivatives in the context of thermodynamics.
NEXT STEPS
  • Research the laws of thermodynamics, focusing on entropy and energy relationships.
  • Study the concept of thermodynamic equilibrium and its implications on energy requirements.
  • Explore the mathematical formulation of temperature as a function of entropy and internal energy.
  • Investigate real-world applications of entropy changes in various thermodynamic processes.
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Students and professionals in physics, particularly those specializing in thermodynamics, as well as engineers and researchers involved in energy systems and entropy analysis.

ahmed11
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is incresing the entropy of low entropy system easier than trying to increase the entropy of a high entropy system?
or is it vice versa?
let's say it requires x amount of energy to increase a low entropy system, now will increasing an already high entropy system require 2x amount of energy or less than x amount of energy?
 
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ahmed11 said:
is incresing the entropy of low entropy system easier than trying to increase the entropy of a high entropy system?
or is it vice versa?
let's say it requires x amount of energy to increase a low entropy system, now will increasing an already high entropy system require 2x amount of energy or less than x amount of energy?
If your measure of "how hard is it to increase entropy" is the amount of energy required to produce an incremental change in entropy, be aware that this is one way of defining temperature. The higher the temperature, the more energy it takes.

From wiki (which in turn sources from various Thermo textbooks):

"If internal energy is considered as a function of the volume and entropy of a homogeneous system in thermodynamic equilibrium, thermodynamic absolute temperature appears as the partial derivative of internal energy with respect the entropy at constant volume.
 
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