Can anyone point out to me where in the work I did in pic related

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Anonymous
2016-01-27 03:28:09 Post No. 7813559
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Anonymous 2016-01-27 03:28:09 Post No. 7813559 [Report]

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.

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Anonymous 2016-01-27 03:29:18 Post No.7813562
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Anonymous 2016-01-27 03:29:18 Post No.7813562 [Report]

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.

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Anonymous 2016-01-27 03:56:16 Post No.7813621
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Anonymous 2016-01-27 03:56:16 Post No.7813621 [Report]

Shameless self-bump.

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Anonymous 2016-01-27 04:02:12 Post No.7813631
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Anonymous 2016-01-27 04:02:12 Post No.7813631 [Report]

>>7813559
Yep, gas looses energy/ heat as it expands. Why your A/C works. Look over your math and find what you did wrong.