If $\Delta \mathrm{U}$ and $\Delta \mathrm{W}$ represent the increase in internal energy and work done by…
If $\Delta \mathrm{U}$ and $\Delta \mathrm{W}$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
$\Delta \mathrm{U}=-\Delta \mathrm{W}$, in a adiabatic process
$\Delta \mathrm{U}=\Delta \mathrm{W}$, in a isothermal process
$\Delta \mathrm{U}=\Delta \mathrm{W}$, in a adiabatic process
$\Delta \mathrm{U}=-\Delta \mathrm{W}$, in a isothermal process
Solution
From first law of thermodynamics
$\Delta Q=\Delta U+\Delta \mathrm{W}$
For adiabatic process $\Delta Q=0$
$\Rightarrow \quad \Delta U=-\Delta W$
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