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 adiabatic process
Correct Answer: A
Solution :
An isothermal process is a constant temperature process. In this process, \[\text{T}\,\text{=}\,\text{constant}\,\text{or}\,\text{ }\!\!\Delta\!\!\text{ T}\,\text{=}\,\text{0}\text{.}\] \[\therefore \] \[\Delta U=n{{C}_{v}}\Delta \Tau =0\] An adiabatic process is defined as one with no eat 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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