Name: Basic Terminologies in Thermodynamics
Uploaded: 2019-07-19
Duration: 5 min 15 s
Description: An important part of the study of thermodynamics is its terms and definitions, which must be understood clearly. In this video, we will explore the thermodyn...

Question

Is the statement is true: The work done along any adiabatic between two isothermal is independent of the particular adiabatic.

Accepted Answer

According to the first law of thermodynamics, $∆ Q = ∆ U + ∆ W$ .

We know that in adiabatic process, the heat transfer is zero. Hence, the work done in an adiabatic process is the negative of the change in the internal energy of the system.

$∴ 0 = ∆ U + ∆ W \Rightarrow ∆ W = - ∆ U$

Now, we also know that the internal energy of a system is a state function, i.e., it is independent of the path taken by the process to reach from initial to the final state of the given process. Hence, work done in an adiabatic process is also independent of the path.

Between two isothermal, there can be many adiabatic processes possible, but the initial and final state of the process remains same. Hence, the work done along any adiabatic between two isothermal is independent of the particular adiabatic.

Thus, the given statement is true.

Is the statement is true: The work done along any adiabatic between two isothermal is independent of the particular adiabatic.

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