At constant temperature, the final pressure of the compressed gas is 5.0atm.
Given the data in the question;
Final pressure; [tex]P_2 = \ ?[/tex]
Boyle's law states that the volume V of a given quantity of gas is inversely proportional to its pressure P at constant temperature.
It is expressed as;
[tex]P_1V_1 = P_2V_2[/tex]
Where [tex]P_1[/tex] is Initial Pressure, [tex]V_1[/tex] Initial volume, [tex]P_2[/tex] is Final Pressure and [tex]V_2[/tex] is Final volume.
To determine the final pressure of the gas, we substitute our given values into the expression above.
[tex]P_1V_1 = P_2V_2\\\\P_2 = \frac{P_1V_1}{V_2} \\\\P_2 = \frac{1.0atm \ *\ 4L}{0.800L}\\ \\P_2 = \frac{1.0atm \ *\ 4}{0.800}\\\\P_2 = \frac{4.0atm}{0.800}\\\\P_2 = 5.0atm[/tex]
Therefore, at constant temperature, the final pressure of the compressed gas is 5.0atm
Learn more about Boyle's law: brainly.com/question/1437490
