Question

Air enters an insulated turbine operating at steady state at 8 bar, 500 k, and 150m / s at the exit the conditions are 1 bar, 320 k, and 10m / s there is no significant change in elevation. determine and explain (a) the work developed and the exergy destruction, each in kj per kg of air flowing. (b) the maximum theoretical work, in kj per kg of air flowing, that could be developed by any one-inlet, one-exit control volume at steady state that has air entering and exiting at the specified states, while allowing heat transfer only at temperature to

Answer 1

To determine the work developed and exergy destruction for an insulated turbine, the first law of thermodynamics and exergy concepts are used, but specific values are needed for calculation. The maximum theoretical work is analogous to that of a Carnot engine, calculated using the temperature difference between the hot and cold reservoirs.

Step-by-step explanation:

The work developed and exergy destruction of an insulated turbine operating at steady state can be calculated using the first law of thermodynamics and the concept of exergy. However, without the specific enthalpies at the inlet and exit or the system efficiency, an accurate answer cannot be provided for this specific question.

The maximum theoretical work, which is analogous to the work output of a Carnot engine, depends on the temperatures of the heat reservoirs. This can be calculated using the equation Effc = 1 - (Tc/Th), where Tc is the temperature of the cold reservoir, and Th is the temperature of the hot reservoir, both in kelvins. The work output for the Carnot cycle or any reversible engine working between the same two temperatures is the product of the heat transfer into the system and the Carnot efficiency.