t05_ps02_sol

t05_ps02_sol - Q ( +, -, or zero) W ( + , -, or zero) Leg...

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0.5 0.75 1.0 1.25 1.5 50 100 150 200 250 300 200 250 300 350 400 450 500 550 600 0.5 0.75 1.0 1.25 1.5 T5 SOLUTIONS (Waitz) a) Draw a thermodynamic cycle on p-v and T- v diagrams consisting of Leg 1-2: adiabatic expansion Leg 2-3: constant volume heat addition Leg 3-4: constant pressure expansion Leg 4-1: isothermal compression Assume that all processes are quasi-static and involve an ideal gas. Pressure (kPa) lines of constant temperature 1 3 4 2 For 1-2, pv γ =constant adiabat is steeper than pv=constant (an Temperature (Kelvin) Specific Volume (m 3 /kg) isotherm) 3 4 1 2 lines of constant pressure For 1-2, Tv γ−1 =constant a curved line much like the adiabat on a p-v diagram but it would be shallower Specific Volume (m 3 /kg)
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b) For each leg determine if the heat and work transfers are (+), (-), or zero.
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Unformatted text preview: Q ( +, -, or zero) W ( + , -, or zero) Leg 1-2 0 + Leg 2-3 + 0 Leg 3-4 + + -Leg 4-1 -c) Is the net work for this cycle positive or negative? The net work for this cycle is negative The area under the expansion process is less than the area under the compression processes. d) What common purpose might you use a cycle like this for and why? This cycle could serve as a cooler or refrigerator. Overall it takes in energy in the form of heat from cold temperatures and expels energy in the form of heat from high temperatures. The net work for the cycle as a whole is negative, meaning that energy is put into the system to enable these transfers of heat to take place....
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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t05_ps02_sol - Q ( +, -, or zero) W ( + , -, or zero) Leg...

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