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, \[T=\] 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 \[\Delta U=-W\] |
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