A) \[\Delta U=-W\]in 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 adiabaitc process
Correct Answer: A
Solution :
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 first law of thermodynamics \[W=-\Delta U\] Or \[\Delta U=-\,W\]
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