4. Three routes connect an origin and a destination with performance functions tl = 8 + 0.5x1, t2 = 1 + 2x2, and t3 = 3 + 0.75x3
, with the x's expressed in thousands of vehicles per hour and the t's expressed in minutes. If the peak-hour traffic demand is 3400 vehicles, determine user-equilibrium traffic flows. Note: there are 823 vehicles that must pass by a daycare in route 1.
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Answer:
Check the explanation
Explanation:
Energy alance of 2 closed systems: Heat from CO2 equals the heat that is added to air in
1x0.723x=3x0.780x
⇒
= 426.4 °K
The initail volumes of the gases can be determined by the ideal gas equation of state,
=
= 0.201
The equilibrium pressure of the gases can also be obtained by the ideal gas equation
= 1x(8.314 28.97)x426.4+3x(8.314 44)x426.4
(0.201+1.275)
= 246.67 KPa = 2.47 bar