The piston of an internal combustion engine compresses 538 mL of gas. The final pressure is 15 times greater than the initial pressure.

Question

The piston of an internal combustion engine compresses 538 mL of gas. The final pressure is 15 times greater than the initial pressure. What is the final volume of the gas, assuming constant temperature?

Answer 1

V1 = initial volume = 538 ml

P1 = initial pressure = 1

V2 = final volume = ?

P2 = final pressure = 15 (15 x the initial pressure)

At constant temperature, we are dealing with Boyle's law: P1V1 = P2V2

Solving for V2 we have..

V2 = P1V1 / P2 = (1)(538) / (15

V2 = 35.9 mls