Answer:
Explanation:
The processes are described on the image attached below. The isobaric process consists of an horizontal line, the adiabatic expansion is described by a polytropic curve:
[tex]P_{2} \cdot V_{2}^{\gamma} = P_{3} \cdot V_{3}^{\gamma}[/tex]
Where:
[tex]\gamma = \frac{c_{p}}{c_{v}}[/tex]
[tex]\gamma = 1 + \frac{R}{c_{v}}[/tex]
Final pressure is:
[tex]P_{3} = P_{2}\cdot \left(\frac{V_{2}}{V_{3}} \right)^{\gamma}[/tex]
[tex]P_{3} = P_{o}\cdot \left(\frac{1}{2}\right)^{\gamma}[/tex]
[tex]P_{3} = \frac{P_{o}}{2^{\gamma}}[/tex]
