MHT CET · Physics · Mechanical Properties of Fluids
We consider a thermodynamic system. If \(\Delta U\) represents the increase in its internal energy and \(W\) the work done by the system, which of the following statements is true?
- A \(\Delta U=-W\) is an adiabatic process
- B \(\Delta U=W\) in an isothermal process
- C \(\Delta U=-W\) in an isothermal process
- D \(\Delta U=W\) in an adiabatic process
Answer & Solution
Correct Answer
(A) \(\Delta U=-W\) is an adiabatic process
Step-by-step Solution
Detailed explanation
An isothermal process is a constant temperature process. In this process, \(T=\) constant or \(\Delta T=0\).
\(
\therefore \Delta U=n C_{V} \Delta T=0
\)
An adiabatic process is defined as one with no heat transfer into or out of a system. Therefore, \(Q=0 .\) From the first law of thermodynamics.
\(W=-\Delta U\)
or \(\Delta U=-W\)
\(
\therefore \Delta U=n C_{V} \Delta T=0
\)
An adiabatic process is defined as one with no heat transfer into or out of a system. Therefore, \(Q=0 .\) From the first law of thermodynamics.
\(W=-\Delta U\)
or \(\Delta U=-W\)
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