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 ?

Question

anonymous · Answer

@ajprincess  @UnkleRhaukus  @Carl_Pham

anonymous · Answer

@Aperogalics

anonymous · Answer

$$W=\int\limits_{V_1}^{V_2}p(V)dV$$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

anonymous · Answer

Remember standard units:
R=8.31
T measured in Kelvin
V in metres ^3
p in pascals

anonymous · Answer

W in Joules

anonymous · Answer

I've no idea why the equation is correct, it should be interesting to derive

anonymous · Answer

$$W=\int\limits Fdx= \int\limits P Adx= \int\limits P dV$$

anonymous · Answer

@Kryten