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ID: 1787910 • Letter: D
Question
dit t/itemView?assignmentProblemID-88008976&offset-next; 11.62- MC a previc Problem 11.62- MC Part A Each second, a nuclear power plant What is the maximum possible thermal efficiency of the power plant? Express your answer as a percent using three significant figures. 3200 MJ of heat energy from nuclear reactions in the reactor's core. This energy is used to boil water and produce high-pressure steam at 340 °C. The steam spins a turbine, which produces 700 MW of steam is condensed and the water is cooled to 40 Hints electric power, then the o C before starting the cycle again. emax = Give Up Incorrect; Try Again Part RExplanation / Answer
Solution:
Carnot efficiency = maximum possible efficiency
=> 1 - Tc / Th (cooled steam temperature Tc , hot steam temperature = Th
=> 1 - 313 / 613
=> 0.4893
Percentage efficiency = 0.4893 x 100
=> % efficiency = 48.9
____________________________________________________________________
Given,
Initial pressure (p) = 3 atm = 3(101,325) pa = 303,975 Pa
Volume of gas (V) = 0.000225 m^3
Number of moles of gas (n) = 7.0 x 10^ -3
Initial temperature of gas = T
pV = nRT
(303,975 x 0.000225) = (7.0 x 10^ -3)*(8.314)*(T)
=> 68.394375 = 0.05819T
=> T = 1175.4 K
=> T = (1175.4 - 273) C = 902.4 C
Therefore, initial temperature of gas = 946.31 oC
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