How many moles of oxygen can be separated

Reference no: EM13983615

A geothermal power souce is used to operate a plant to produce oxygen. A deep well of water with volume 1000 m³ at initial temperature 100 Celsius is used as the power source for the plant. There is an infinite lake nearby at a temperature 5 Celcius. The plant will separate O₂ from the air at 1 atm pressure and 20^o Celcius. The air is a mix of ideal gases (O₂ and N₂) with mole fractions 1/5 for 02 and 4/5 for N₂.

Assuming Carnot efficiency, how many moles of 0₂ can be separated out before the power source is depleted (remember: the temperature of the well decreases as energy is extracted from it).

Reference no: EM13983615

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