Entropy Numericals

Solve the following Numericals based on Entropy

Q1. A body at 200oC undergoes an reversible isothermal process. The heat energy removed in the process is 7875 J. Determine the change in the entropy of the body.

Q2. Air is compressed isothermally from 100 kPa to 800 kPa. Determine the change in specific entropy of the air.

Q3. A rigid insulated container holds 5 kg of an ideal gas. The gas is stirred so that its state changes from 5 kPa and 300 K to 15 kPa. Assuming Cp =1.0 kJ/kgK and g =1.4, determine the change of entropy of the system.

Entropy

Entropy means the amount of disorder or randomness of a system. It is a measure of thermal energy per unit of the system which is unavailable for doing work. The concept of entropy can be applied in various contexts and stages, including cosmology, economics, and thermodynamics. Entropy is a concept that essentially discusses the spontaneous changes that take place in ordinary phenomena or the Universe’s inclination towards disorder.

In this article, we will learn what is meaning of Entropy, the entropy change formula, and how it is associated with the laws of thermodynamics.

Table of Content

  • What is Entropy?
  • Properties of Entropy
  • Entropy Formula
  • Change in Entropy
  • Entropy Changes During Phase Transition
  • Entropy and Enthalpy

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What is Entropy?

Entropy is a scientific concept commonly associated with disorder, randomness, or uncertainty. It is a measure of the unavailable energy in a closed thermodynamic system that is also usually considered a property of the system’s state. Entropy is dynamic – the energy of the system is constantly being redistributed among the possible distributions as a result of molecular collisions. It is a state function, like temperature or pressure, instead of a path function, like heat or work. The letter “S” serves as the symbol for entropy....

Meaning of Entropy

Entropy can be understood as a measure of how dispersed and random the energy and mass of a system are distributed....

Properties of Entropy

Some of the critical properties of entropy include:...

Entropy Formula

Entropy is a scientific concept often associated with a state of disorder, randomness, or uncertainty. In the context of thermodynamics, entropy is related to the energy and temperature of a system, and it is represented by the equation...

Change in Entropy

Change in Entropy is a state function, meaning that it depends only on the initial and final states of the system and not on the path taken to get there....

Entropy Changes During Phase Transition

During a phase transition, such as melting or vaporization, there is a change in the entropy of the system as follows:...

Entropy in Thermodynamics

The relationship between entropy and different laws of thermodynamics is as follows:...

Entropy and Enthalpy

Entropy and Enthalpy are two most important factors of Thermodynamics. Entropy is measure of randomness and disorder of a system while enthalpy is total amount of internal energy of the system. To learn more difference between Enthaloy and Entropy check, Enthalpy vs Entropy...

Entropy – Solved Examples

Example 1. Calculate the entropy change when 10 moles of an ideal gas expands reversibly and isothermally from an initial volume of 10L to 100L at 300K....

Entropy JEE Mains and Advanced Solved Questions

1. The process with negative entropy change is...

Entropy Numericals

Solve the following Numericals based on Entropy...

Entropy – Frequently Asked Questions(FAQs)

What is Entropy in Thermodynamics?...