Posted by Devin Boutte on .
Assume tat you have a sample of a gas in a cylinder with a movable piston at constant pressure. Determine the volume of the gas if the absolute temperature is decreased by twenty-five percent.
THE VOLUME WOULDN'T HAVE ANY EFFECT ON THE TEMPERATURE. FOR A GAS IN A CLOSED CONTAINER, WITH THE PRESSURE CONSTANT THE TEMPERATURE DOESN'T CHANGE THE VOLUME. WHEN TEMPERATURE INCREASES, PRESSURE INCREASES. THEY ARE DIRECTLY PROPORTIONAL.
(V1/T1) = (V2/T2)
V1 = V
T1 = make up some number such as 300 Kelvin.
Solve for V2 when T2 = 25% less. So if T1 = 300K, then 25% less than that is 225 and solve for V1. I get something like.0.75V1 which means that V2 = just 3/4 of the old volume of V1.