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  4. A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will be

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Q. A gas does $4.5\, J$ of external work during adiabatic expansion. If its temperature falls by $2 \,K$, then its internal energy will be

AP EAMCETAP EAMCET 2015

Solution:

During adiabatic process, no heat transfer takes place,
So, $d O=0$
From first law of thermodynamics,
$d O=d U+d W$
$\Rightarrow d U=-d W $
$\Rightarrow d U=-4.5\, J$
As, the temperature falls so internal energy will
decrease i.e. $d U=-4.5 \,J$