Air flows isentropically at the rate of 1 kg/s through a duct. At one section of the duct the cross-sectional area is 9.3 X 10-3 m², static pressure is 200 kPa, and stagnation temperature is 550 K. Determine the velocity of the stream and the minimum area at the exit of the duct that causes no reduction in the mass rate of flow.

Air flows isentropically at the rate of 1 kg/s through a duct. At one section of the duct the cross-sectional area is 9.3 X 10-3 m², static pressure is 200 kPa, and stagnation temperature is 550 K. Determine the velocity of the stream and the minimum area at the exit of the duct that causes no reduction in the mass rate of flow.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem 13: Air Flow Calculation**

_Given:_

Air flows isentropically at the rate of 1 kg/s through a duct. At one section of the duct, the cross-sectional area is \( 9.3 \times 10^{-3} \) m², the static pressure is 200 kPa, and the stagnation temperature is 550 K.

**Task:**

Determine:
1. The velocity of the stream.
2. The minimum area at the exit of the duct that causes no reduction in the mass rate of flow.

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This problem involves calculating the air velocity and determining the minimum exit area in a duct under isentropic flow conditions. The given parameters will be used to apply the principles of fluid dynamics and thermodynamics for these calculations.

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