Answer to Question #163856 in General Chemistry for Mark Johnson

Question

An air compressor contains 11.5L of gas at 1.10atm. If the pressure inside the compressor has to be increased to 4.3atm without changing its temperature, what should be the final volume setting?

Answer 1

Initial pressure, P1 = 1.10 atm

Initial volume, V1 = 11.5 L

Final pressure, P2 = 4.3 atm

Final Volume, V2 = x L (say)

We know at constant temperature

$P1V1 = P2V2$

$Or, V2 = P1V1/P2$

$Or, V2 = (1.1×11.5)/4.3$

$Or, V2 = 2.942$

Hence,the final volume setting = 2.942 L