A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains 0.110 m3 of air at a pressure of 0.355 atm. The piston is slowly pulled out until the volume of the gas is increased to 0.390 m3. If the temperature remains constant, what is the final value of the pressure?

0.10013 atm

Explanation:

Applying Boyle's Law,

P'V' = PV ... Equation 1

Where P' = Initial pressure of air, V' = Initial volume of air, P = Final pressure of air, V = Final volume of air.

make P the subject of the equation

P = P'V'/V ... Equation 2

Given: P' = 0.355 atm, V' 0.110 m³, V = 0.390 m³

Substitute into equation 2

P = 0.355 (0.11) / 0.39

P = 0.10013 atm.