Answer:
Final pressure, P2 = 362.26 kPa
Explanation:
Given the following data;
Initial volume = 32.5 Liters
Initial pressure = 45.7 kPa
Final volume = 4.1 Liters
To find the final pressure, we would use Boyle's law;
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 45.7 * 32.5 = P_{2} * 4.1 [/tex]
[tex] 1485.25 = 4.1P_{2} [/tex]
[tex] P_{2} = \frac {1485.25}{4.1}[/tex]
[tex] P_{2} = 362.26 [/tex]
Final pressure, P2 = 362.26 kPa
