A heat engine operating on the Carnot cycle uses solar energy as the source of high-tem- perature heat input. The solar irradiation, averaged over the day, has a value of q'ux =0.51 kW/m?. This provides energy to the cycle at a uniform temperature of 450 K, and the cycle rejects heat to the environment at a temperature of 300 K. The engine produces 2000 kW of power. During solution, the following parts must be in order. (a) Sketch the system and its boundary, with all the given data displayed on it. (b) Draw the temperature-entropy (T-s) diagram of the cycle. Assume start of heat addi- tion is state point 1 and all the given data displayed on it. (c) Determine the minimum area of the solar panel in acres that is needed to provide this power. Write down units in each step of the solution, where appropriate. Write your comments on the outcome of your solution. Use correct and appropriate symbols for the known and unknown thermodynamic quantities and properties.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A heat engine operating on the Carnot cycle uses solar energy as the source of high-tem-
perature heat input. The solar irradiation, averaged over the day, has a value of q'ux =0.51
kW/m?. This provides energy to the cycle at a uniform temperature of 450 K, and the cycle
rejects heat to the environment at a temperature of 300 K. The engine produces 2000 kW
of power. During solution, the following parts must be in order.
(a) Sketch the system and its boundary, with all the given data displayed on it.
(b) Draw the temperature-entropy (T-s) diagram of the cycle. Assume start of heat addi-
tion is state point 1 and all the given data displayed on it.
(c) Determine the minimum area of the solar panel in acres that is needed to provide this
power.
Write down units in each step of the solution, where appropriate. Write your comments
on the outcome of your solution. Use correct and appropriate symbols for the known and
unknown thermodynamic quantities and properties.
Transcribed Image Text:A heat engine operating on the Carnot cycle uses solar energy as the source of high-tem- perature heat input. The solar irradiation, averaged over the day, has a value of q'ux =0.51 kW/m?. This provides energy to the cycle at a uniform temperature of 450 K, and the cycle rejects heat to the environment at a temperature of 300 K. The engine produces 2000 kW of power. During solution, the following parts must be in order. (a) Sketch the system and its boundary, with all the given data displayed on it. (b) Draw the temperature-entropy (T-s) diagram of the cycle. Assume start of heat addi- tion is state point 1 and all the given data displayed on it. (c) Determine the minimum area of the solar panel in acres that is needed to provide this power. Write down units in each step of the solution, where appropriate. Write your comments on the outcome of your solution. Use correct and appropriate symbols for the known and unknown thermodynamic quantities and properties.
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