- #1

Funky_Sp

_{f}. The temperature remains the same during the process and the gas is an ideal one.

We have to calculate the work that is done.

I am not quite sure how deal with it, since the volume is constant i cannot use the trivial expression [tex]W=\int_{Vi}^{Vf}pdV[/tex]

I tried to derive an equation for the work, depending on the change in density and number of particles but I don't have enough information for that. My next attempt was to use the general expression for the work, [tex]W=\int_{i}^{f}Fdx[/tex] but after a little calculus I am coming back to the first equation. My last attempt was to proceed with that , and state, that since the gas is an ideal one then [tex]p_{i}V_{i}=p_{f}V_{f}\Rightarrow \frac{p_{i}}{p_{f}}=\frac{V_{i}}{V_{f}}\Rightarrow ln\frac{p_{i}}{p_{f}}=ln\frac{V_{i}}{V_{f}}[/tex]

but I think this is silly.

Does anyone has an idea how to solve it?