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Energy Analysis of Control Volumes at Steady StateAt
Chapter 4, Problem 28P(choose chapter or problem)
At steady state, air at \(200 \mathrm{kPa}, 52^{\circ} \mathrm{C}\) and a mass flow rate of \(0.5 \mathrm{~kg} / \mathrm{s}\) enters an insulated duct having differing inlet and exit cross-sectional areas. At the duct exit, the pressure of the air is \(100 \mathrm{kPa}\), the velocity is \(255 \mathrm{~m} / \mathrm{s}\), and the cross-sectional area is \(2 \times 10^{-3} \mathrm{~m}^2\). Assuming the ideal gas model, determine
(a) the temperature of the air at the exit, in \({ }^{\circ} \mathrm{C}\).
(b) the velocity of the air at the inlet, in \(\mathrm{m} / \mathrm{s}\).
(c) the inlet cross-sectional area, in \(\mathrm{m}^2\).
Questions & Answers
QUESTION:
At steady state, air at \(200 \mathrm{kPa}, 52^{\circ} \mathrm{C}\) and a mass flow rate of \(0.5 \mathrm{~kg} / \mathrm{s}\) enters an insulated duct having differing inlet and exit cross-sectional areas. At the duct exit, the pressure of the air is \(100 \mathrm{kPa}\), the velocity is \(255 \mathrm{~m} / \mathrm{s}\), and the cross-sectional area is \(2 \times 10^{-3} \mathrm{~m}^2\). Assuming the ideal gas model, determine
(a) the temperature of the air at the exit, in \({ }^{\circ} \mathrm{C}\).
(b) the velocity of the air at the inlet, in \(\mathrm{m} / \mathrm{s}\).
(c) the inlet cross-sectional area, in \(\mathrm{m}^2\).
ANSWER:Step 1 of 2
We have to calculate exit temperature,inlet velocity and inlet cross sectional area.
Given data:
C
kPa
kg/s
kPa
m/s