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Steam enters a nozzle at 400°C and 800 kPa with a velocity
Chapter 5, Problem 30P(choose chapter or problem)
Steam enters a nozzle at \(400^{\circ} \mathrm{C}\) and \(800 \mathrm{kPa}\) with a velocity of \(10 \mathrm{~m} / \mathrm{s}\), and leaves at \(300^{\circ} \mathrm{C}\) and \(200 \mathrm{kPa}\) while losing heat at a rate of \(25 \mathrm{~kW}\). For an inlet area of \(800 \mathrm{~cm}^{2}\), determine the velocity and the volume flow rate of the steam at the nozzle exit.
Questions & Answers
QUESTION:
Steam enters a nozzle at \(400^{\circ} \mathrm{C}\) and \(800 \mathrm{kPa}\) with a velocity of \(10 \mathrm{~m} / \mathrm{s}\), and leaves at \(300^{\circ} \mathrm{C}\) and \(200 \mathrm{kPa}\) while losing heat at a rate of \(25 \mathrm{~kW}\). For an inlet area of \(800 \mathrm{~cm}^{2}\), determine the velocity and the volume flow rate of the steam at the nozzle exit.
ANSWER:
Step 1 of 5
Given
Inlet pressure \(P_{1}=800 \ \mathrm{kPa}\)
Inlet temperature \(T_{1}=400^{\circ} \mathrm{C}\)
Inlet velocity \()V_{1}=10 \mathrm{~m} / \mathrm{s}\)
Inlet cross-sectional area \(A_{1}=800 \mathrm{~cm}^{2}=0.08 \mathrm{~m}^{2}\) Exit pressure \(P_{2}=200 \ k P a\)
Exit temperature \(T_{2}=300^{\circ} \mathrm{C}\)
The rate of heat loss \(\dot{Q}=-25 k W\)