Question
Show that pressure times volume (PV) is equal to work.
✓
Answer
The work is defined as the energy by which a body is displaced through a distance $d$ by applying a force $f$.
$\therefore W=f \times d$
If area is $A=d^2$ and volume $V=d^3$ then,
$P V=\frac{f}{A} \times d^3=\frac{f}{d^2} \times d^3=f \times d=W$
$\therefore$ The term PV represents the pressure-volume work.
$\therefore W=f \times d$
If area is $A=d^2$ and volume $V=d^3$ then,
$P V=\frac{f}{A} \times d^3=\frac{f}{d^2} \times d^3=f \times d=W$
$\therefore$ The term PV represents the pressure-volume work.
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