Can anyone point out to me where in the work I did in pic related is wrong? It's a thermo problem.
"A rigid, well-insulated gas cylinder initially contains N_o moles of an ideal gas at a temperature T_o and pressure P_o. A venting valve is opened and the gas is pumped out of the tank. Derive an expression for the instantaneous temperature of the gas as a function of the number of moles remaining in the tank. The heat capacity at constant volume of the gas is independent of temperature.
I forgot to edit it out in the picture, but I am assuming dN_out to be equal to dN since there is only one output stream in the system.
Shameless self-bump.
>>7813559
Yep, gas looses energy/ heat as it expands. Why your A/C works. Look over your math and find what you did wrong.