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In a nuclear power plant, heat is taken from the reactor core at 500 degree C, w

ID: 1997018 • Letter: I

Question

In a nuclear power plant, heat is taken from the reactor core at 500 degree C, work is done to drive an electric generator, and heat is rejected to the environment at 23 degree C. What is the maximum possible thermal efficiency of this system? 56% 105% 68% 95% 62% A quantity of heat is removed from a hot reservoir at absolute temperature T and then is added to a cold reservoir at absolute temperature T/3. The cold reservoir experiences an entropy increase S. What is the change in the entropy of the universe? -S/3 -S S/3 0 3S Entropy is related to probability. An isolated system moves toward a state of high order, high probability, and high entropy. a state of low order, low probability, and high entropy. a state of low order, high probability, and high entropy. a state of low order, high probability, and low entropy. a state of high order, low probability, and high entropy. A certain blackbody radiates 100 W at a temperature of 2000 K. How much power would this body radiate at 2500 K? 41W 293 W 317 W 244 W 269 W

Explanation / Answer

Hot reservoir temperature T = 500 o C = 500 + 273 = 773 K

Cold reservoir temperature T ' = 23 o C = 23 + 273 = 296 K

maximum thermal efficiency = 1-(T ' / T )

                                         = 1-( 296/773)

                                         = 0.617

                                         = 0.62            ( two significant figures)

                                         = 62 %

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