Question $4$

A mass of air weighing $1kg$ undergoes the following transformation:

Initial State $P_1$~~${10}^{5}Pa$

$V_1$~~$0,9m^3$

Final State $P_2$~~$4,5*{10}^{5}Pa$

$V_2=?$

The transformation $12$ is such that the product $P.V=$ Cte.

Trace with precision, on a grid sheet, the curve representative of the transformation in P$($V$)$ plane.

Calculate the work exchanged during this transformation, on the one hand graphically on the other algebraically.

Is it necessary to provide driving energy to achieve this transformation?