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A steam turbine operates steadily under the following conditions. At the inlet, p = 2.5 MPa, h₁ = 3383 kJ/kg, T = 450°C,

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Final answer:

The maximum theoretical efficiency for a heat engine operating between two temperatures can be calculated using the Carnot efficiency formula.

Step-by-step explanation:

The maximum theoretical efficiency for a heat engine operating between two temperatures can be calculated using the Carnot efficiency formula. The Carnot efficiency is given by

Effc = 1 - (Tc/Th)

Where Tc is the temperature of the cold reservoir (in Kelvin) and Th is the temperature of the hot reservoir (in Kelvin).

In this case, the hot temperature is 300°C and the cold temperature is 27°C. Converting these temperatures to Kelvin, we have Th = 300 + 273 = 573 K and Tc = 27 + 273 = 300 K.

Substituting these values into the Carnot efficiency formula, we get Effc = 1 - (300/573) = 0.476, or 47.6%.

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