16.050 Thermal Energy
Quiz #1 – Fall 2002
Do all three problems. All problems count the same.
1. A reversible cycle plots as a perfect circle on a
TS
diagram with maximum and
minimum temperatures 600 K and 300 K and a maximum and minimum entropy of
600 kJ/K and 300 kJ/K.
a)
What is the net work of this cycle?
b) Indicate the path in the cycle along which heat is rejected. How do you
know? (A sentence or two is required, perhaps bolstered by an equation).
c)
What is the thermodynamic efficiency of this cycle?
2.
The following device operates at steadystate and is well insulated. Air enters at one
location and exits at another with a mass flow rate of 10 kg/s. Assuming ideal gas
behavior and negligible potential energy effects, determine the direction of the air
flow and the direction of the power flow. Determine the power in kW. Assume
cp=1000 J/kgK for air. (Hint: it might be useful to initially assume directions of the
different energy fluxes and then to check for consistency.)
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Inlet:
45 bar
650 K
Outlet:
15 bar
500 K
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 Fall '02
 ZoltanSpakovszky
 Thermodynamics, Mass flow rate, kg/s, potential energy effects, Ts diagram

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