Calculating Pressure in Differently-Sized Cylinders

[barkhumpy]

Homework Statement

Two cylindrs of different sizes, 10 litre and 4 litre, are connected by a thin tube of negligible volume. The cylinders contain a gas at a tpressure of two atmoshheres when at 25 deg celsius. If the small cylinder is immersed in an ice bath at 0 deg celsius and the larger cylinder is brought to ta temperature of 80 deg celsius, calculate the pressure in each container.

Homework Equations

P1V1/T = P2V2/ T2

The Attempt at a Solution

P1 = 2 x 1.013 x 10*5 Pa
T1 = 298K
V1 = 14 x 10 *-3 m*3
P2 = ?
T2 = 353K
V2 = 10 x 10*-3 m*3
T3 = 273K
V3 = 4 x 10*-3 m*3

 

[grey_earl]

Take the full ideal gas law, that one containing also the amount of gas n or N. Since your containers are connected by a tube, gas will flow between them as long as there is a pressure difference between the two. Using the ideal gas law, you should first calculate how much gas is inside each container at 25° C (and their pressure, volume, etc.) and then you know that the total amount of gas doesn't change, it just changes container.