fall_2003_pset3

fall_2003_pset3 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.01/16.02 Unified Engineering I, II Fall 2003 Problem Set #3 Name: Due Date: 9/23/03 Problems: T6, T7, T8, T9, C5, C6, C7 Time Spent (min) T6 T7 T8 T9 C5 C6 C7 Study Time Announcements:
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UNIFIED ENGINEERING Fall 2003 Ian A. Waitz Problem T6. (Thermodynamics) Consider the following thermodynamic cycle. Assume all processes are quasi-static and involve an ideal gas. p isothermal compression adiabatic expansion Const. volume heat addition 3 1 2 4 Const. Pressure cooling v Air undergoes a quasi-static thermodynamic cycle 1-2-3-4-1 as shown above. Process 1-2 is isothermal compression, 2-3 is constant volume heat addition, process 3-4 is adiabatic expansion, and process 4-1 is constant pressure cooling. The conditions at state 1 are p 1 = 100kPa, T 1 =300K. The pressure ratio (p 2 /p 1 ) over process 1-2 is 10 and the peak temperature of the cycle is 1500K. Assume that c p = 1.0035 kJ/kg-K and c v = 0.7165 kJ/kg-K are constants, and that R = 0.287 kJ/kg-K. a) For each leg of the cycle identify whether the heat added to the system, Q, and the work done by the system, W, are positive, negative or zero. b) For each leg of the cycle calculate the work and heat transfer, the change in internal energy and the change in enthalpy. c) What is the net work of the cycle? d) What is the thermal efficiency of the cycle? e) If you reversed the direction of the cycle and used it as a refrigerator, what is the maximum amount of heat you could you remove per Joule of power input? (LO# 4, LO#6)
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UNIFIED ENGINEERING Fall 2003 Ian A. Waitz Problem T7 (Unified Thermodynamics) MIT’s gas turbine power plant operates on a Brayton cycle. Assume the cycle is ideal and the gas behaves as an ideal gas with constant specific heats c p = 1.0035kJ/kg-K, and c v = 0.7165kJ/kg-K. The maximum temperature at entrance to the turbine is 1400K. From the web page, determine current atmospheric conditions and also the compressor discharge pressure (labeled COMP DEL PRESS). Use this to determine the pressure ratio for the cycle. (LO #4, LO#6) a) Starting from the measured atmospheric conditions, calculate the pressure and temperature at each point for the ideal cycle. b)
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fall_2003_pset3 - Massachusetts Institute of Technology...

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