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Physics: Please explain as detail as possible. I need it more as a study subject

ID: 1598937 • Letter: P

Question

Physics: Please explain as detail as possible. I need it more as a study subject

The cylinder in the drawing below is divided into two compartments by a frictionless piston that can slide back and forth. Note that the two temperatures of the compartments are given. How do the pressures of (he compartments compare? (Circle one) the compartment on the left side (at 80 degree C) is at a higher pressure. The compartment on the left side (at 80 degree C) is at a lower pressure. The two compartments have equal pressure. the cylinder below is divided into two compartments, but this time there is no movable piston; in other words, the volumes of the two compartments are fixed. Note that the volumes, temperatures, and number of moles are given for both compartments. the compartment on the left side (at 400K) is at a higher pressure. The compartment on the left side (at 400K) is at a lower pressure the two compartments have equal pressure.

Explanation / Answer

3. a) The two compartments have equal pressure. Because the two compartments are separated by movable frictionless piston. Therefore, if there is any pressure difference between the two compartments, the piston will adjust itself in such a way that pressure becomes equal in the two chambers.

b) PV = nRT (ideal gas equation)

P = nRT/V
P1= ( 1 x 8.314 x 400) / (0.010) = 332560 Pa

P = ( 2 x 8.314 x 200) / (0.005) = 665120 Pa

As the piston is not free to move, we can have different pressure in two compartments