MHT CET · Physics · Thermodynamics
In a thermodynamic system, ' \(W\) ' represents the work done by the system and ' \(\Delta U\) ' is the increase in internal energy. Which of the following statements is TRUE?
- A In an adiabatic process, \(\Delta U=-W\)
- B In an isothermal process, \(\Delta U=W\)
- C In an adiabatic process, \(\Delta \mathrm{U}=\mathrm{W}\)
- D In an isothermal process, \(\Delta \mathrm{U}=-\mathrm{n} \mathrm{W}\)
Answer & Solution
Correct Answer
(A) In an adiabatic process, \(\Delta U=-W\)
Step-by-step Solution
Detailed explanation
Concept based.
According to the first law of thermodynamics,
\(\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}\)
In adiabatic process \(\Delta \mathrm{Q}=0\)
So, \(\Delta \mathrm{U}=-\Delta \mathrm{W}\)
According to the first law of thermodynamics,
\(\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}\)
In adiabatic process \(\Delta \mathrm{Q}=0\)
So, \(\Delta \mathrm{U}=-\Delta \mathrm{W}\)
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