Question

During an isothermal expansion of an ideal gas: (a) its internal energy decreases (b) its internal energy does not change (c) the work done by the gas is equal to the quantity of heat absorbed by it (d) both (b) and (c) are correct

Name: Problem 21, Chapter 17: Arihant AIEEE Physics
Uploaded: 2021-09-21T15:07:15-08:00
Duration: 1 min 9 s
Channel: Ajay Singhal
Description: During an isothermal expansion of an ideal gas: (a) its internal energy decreases (b) its internal energy does not change (c) the work done by the gas is equal to the quantity of heat absorbed by it (d) both (b) and (c) are correct

    During an isothermal expansion of an ideal gas:
(a) its internal energy decreases
(b) its internal energy does not change
(c) the work done by the gas is equal to the quantity of heat absorbed by it
(d) both (b) and (c) are correct

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 17, Problem 21

Instant Answer

Solved by Expert Ajay Singhal

09/21/2021

Step 1

The internal energy of an ideal gas is directly proportional to its temperature. Therefore, if the temperature is constant, the internal energy of the gas also remains constant. This can be represented as: \[\Delta U = 0\] where \(\Delta U\) is the change in Show more…

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During an isothermal expansion of an ideal gas: (a) its internal energy decreases (b) its internal energy does not change (c) the work done by the gas is equal to the quantity of heat absorbed by it (d) both (b) and (c) are correct

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Key Concepts

Isothermal Process

An isothermal process is one in which the temperature of the system remains constant throughout the process. In the context of an ideal gas, this means that any change in volume or pressure does not affect the internal energy, since internal energy is solely a function of temperature.

Internal Energy of an Ideal Gas

For an ideal gas, the internal energy depends only on the temperature. During an isothermal process, because the temperature remains constant, the internal energy does not change, regardless of changes in volume or pressure.

First Law of Thermodynamics

The first law of thermodynamics states that the change in the internal energy of a system is equal to the heat added to the system minus the work done by the system. In an isothermal process for an ideal gas, the internal energy change is zero, so the amount of heat absorbed by the gas must exactly equal the work performed by the gas.

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