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Applying the Exergy Balance: Control VolumesArgon enters a
Chapter 7, Problem 78P(choose chapter or problem)
Argon enters a nozzle operating at steady state at 1300 K, 360 kPa with a velocity of 10 m/s and exits the nozzle at 900 K, 130 kPa. Stray heat transfer can be ignored. Modeling argon as an ideal gas with k = 1.67, determine (a) the velocity at the exit, in m/s, and (b) the rate of exergy destruction, in kJ per kg of argon flowing. Let \(T_0\) = 293 K, \(p_0\) = 1 bar.
Questions & Answers
QUESTION:
Argon enters a nozzle operating at steady state at 1300 K, 360 kPa with a velocity of 10 m/s and exits the nozzle at 900 K, 130 kPa. Stray heat transfer can be ignored. Modeling argon as an ideal gas with k = 1.67, determine (a) the velocity at the exit, in m/s, and (b) the rate of exergy destruction, in kJ per kg of argon flowing. Let \(T_0\) = 293 K, \(p_0\) = 1 bar.
ANSWER:Step 1 of 2
Part a
We are required to calculate the velocity at the exit.
From the energy balance equation,
Ignoring heat transfer and work components,
Now,
Where,
kJ/kg
K
kJ/kg
K
Thus, J/kg
J/kg
Therefore, m/s
m/s
Therefore, the velocity at the exit is 645 m/s.