Chemistry 122 d

Question

A gas trapped under a piston has a volume of 1.0 L at a pressure of 850 torr. What is the volume when the pressure is 1270 torr? (If all other parameters are held constant)

Answer 1

Given:

Initial volume = V1 = 1.0 L

Initial pressure = P1 = 850 torr

Final pressure = P2 = 1270 torr

Asked for:

Final volume = V2 = ?

From the Combined Gas Law, P1V1/T1 = P2V2/T2 we derive P1V1 = P2V2 when temperature is constant.

Solving P1V1 = P2V2 for V2, we have...

V2 = P1V1 / P2

V2 = (850)(1.0) / 1270

V2 = final volume = 0.669 L