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# Why is $PV$ work negative?

Last updated date: 26th Mar 2023
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Hint:Work is a term we generally use for the energy required to displace or change the position of the body against the applied force. To confine the discussion in thermodynamics: In a system, when we work on the system its internal energy increases but when the system does work on its surrounding the internal energy decreases.

$w = - {P_{external}} \times \Delta V$
$\Delta V = {V_{final}} - {V_{initial}}$
The system loses energy as volume of the system is increased and the work done by the system is negative. Thus, $PV$ work is negative.