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A steel cylinder capacity 10L holds 20 Moles of O2 at 27 C an imperfection causes the gas to leak out slowly so that temperature remains Contant Ext Pressure is 1 atm The cylinder Finaaly Contain 1 atm Calculate Work Done in Calories ?
@ajprincess @UnkleRhaukus @Carl_Pham
\[W=\int\limits_{V_1}^{V_2}p(V)dV\]By the ideal gas eqn: \[W=\int\limits_{V_1}^{V_2}\frac{nRT}{V}dV=nRT (ln(V_2)-ln(V_1))\] http://physics.stackexchange.com/questions/36350/work-on-ideal-gas-by-piston See the answer to this also
Remember standard units: R=8.31 T measured in Kelvin V in metres ^3 p in pascals
I've no idea why the equation is correct, it should be interesting to derive
\[W=\int\limits Fdx= \int\limits P Adx= \int\limits P dV\]