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A geothermal source provides 15 kg/s of water at 150ºC and 500 kPa for an instant evaporator. The evaporator discharges saturated liquid and saturated water vapor at a pressure of 150 kPa.

Determine the evaporator irreversibility generation rate (kW).

Answer :

Final answer:

The irreversibility generation rate in an evaporator can be calculated based on the latent heat of vaporization of water and the mass flow rate. More detailed thermodynamic assessment would be required to precisely calculate this rate.

Explanation:

The evaporator irreversibility generation rate from a geothermal source that provides 15 kg/s of water at 150ºC and 500 kPa can be determined using thermal dynamics and engineering calculations. This involves considering the properties of water under these conditions as well as the phase change from liquid to vapor at 150 kPa.

Firstly, we need to find the amount of heat energy required to convert the liquid water into vapor. This could be estimated from the latent heat of vaporization of water which is approximately 2256 kJ/kg. Therefore, the total heat energy (Qv) required per second can be calculated as Qv = m * Lv, where m is the mass flow rate of the water (15 kg/s) and Lv is the latent heat of vaporization.

Subsequently, the irreversibility rate generation, which is essentially the rate of entropy generation could be obtained. This requires more detailed information on the process and likely embarks on a more complex thermodynamic assessment.

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