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# finalexam - 16.050 Thermal Energy Final Exam Fall 2002 Do...

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16.050 Thermal Energy Final Exam – Fall 2002 Do all eight problems. All problems count the same. 1. A system undergoes a reversible cycle while exchanging heat with three thermal reservoirs, as shown below. Compute the magnitude and direction of Q 3 and W. 2. A tank contains 2 kg of nitrogen at 100 K with a quality of 50%. Through a valve, 0.5 kg is now removed while the temperature remains constant. Find the final quality inside the tank and the volume of nitrogen removed if the valve is located at: a) the top of the tank, b) the bottom of the tank. Hint: a table for saturated nitrogen is given on page 5. 3. Saturated water vapor enters a reversible, adiabatic turbine at a pressure of 10 MPa. At exit the pressure is 0.1 MPa. A table for steam properties is given on page 6. a) What are the inlet and exit temperatures? b) What are the inlet and exit entropy per unit mass? c) What are the inlet and exit qualities? d) What is the turbine work per unit mass? Suppose now that the turbine adiabatic efficiency is 0.8: e) Draw both the ideal and non-ideal processes on T-s and h-s diagrams and sketch isobars and isotherms through the inlet and exit states for the liquid region, inside the vapor dome and for superheated vapor. f) What is the turbine work per unit mass for the non-ideal expansion? g) What is the exit quality for the non-ideal expansion? Page 1 of 6

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4. Hydrogen and oxygen in gaseous form flow into a combustion chamber and react with each other to produce H 2 O, also in gaseous form. The flow rate of oxygen is 1 kmol/second and the proportions of the hydrogen and oxygen are such that all the incoming gas is involved in the reaction. The temperature of the reactants entering the combustion chamber is 298 K. a) What is the equation that describes the reaction? b) Assuming that all gases involved in the reaction can be considered perfect, what is the adiabatic flame temperature? c) If the maximum temperature that can be tolerated in the combustion
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finalexam - 16.050 Thermal Energy Final Exam Fall 2002 Do...

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