# External pressure on a piston with/without friction

1. Aug 28, 2014

### Dishsoap

1. The problem statement, all variables and given/known data

"A gas is enclosed in a cylinder with a piston of area A. The relation between the pressure and volume of the gas at a constant temperature T is shown in Figure B. On a similar figure, sketch graphs of the ratio of the external force F to the area A, F/A, as a function of V, as the gas is (1) is slowly compressed, and (2) is slowly expanded at the temperature T. Ther is a force of sliding friction f between the piston and the cylinder.

The image is similar to

2. Relevant equations

P = F/A
W = P*Delta(V)

3. The attempt at a solution

All I did was say that the work is proportional to F*Delta(V). I think that the work would be the same in both cases, since the work done by friction would remove remove energy from the system regardless of which direction the piston is moving. From there, I don't know how to draw the graph.

2. Aug 29, 2014