quiz3 - p – v diagram Evaluate the Clausius integral H δ...

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MAE110A Thermodynamics Fall Quarter 2007 http://maecourses.ucsd.edu/mae110a Quiz III This is a 50 minute closed-book exam; no notes. Please put your name on the top sheet. Answer all three questions. Explain your working and state any assumptions you have made. 1 (3 points) Circle the correct answer. 1. The Kelvin–Planck statement of the Second Law can be derived from the First Law. is stated in terms of a single thermal reservoir. is different from the Clausius statement. violates the First Law. applies only to ideal gases. 2. The Clausius inequality involves energy. involves heat fluxes in the interior of the system. applies only to heat pumps. is a measure of the irreversibility of a process. applies only to reversible cycles. 3. Entropy is a property. always decreases. is defined only for cycles. is dimensionless. appears in the First Law. 1

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2 (7 points) Define the Carnot cycle. Give one implementation of it and sketch its
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Unformatted text preview: p – v diagram. Evaluate the Clausius integral H δ Q / T ) b for the Carnot cycle. What is maximum efﬁciency of a Ocean Temperature Energy Conversion Plant operating between 27 ◦ C (surface) and 7 ◦ C (700 m depth)? The current efﬁciency of actual plants is about 2%. Comment. 2 3 (10 points) Air in a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three internally reversible processes in series. Process 1–2: Constant volume-heating from T 1 = 288 K, p 1 = . 1 MPa to p 2 = . 42 Mpa. Process 2–3: Constant-pressure cooling. Process 3–1: Isothermal heating to the initial state. Employing the ideal-gas model with c p = 1 kJ/kg · K, evaluate the change in speciﬁc entropy, in kJ/kg · K, for each process. Sketch the cycle on p – v and T – s coordinates. For each process, associate work and heat transfer with areas on these diagrams, respectively. 3...
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