Explanation Write the expression for the specific gas constant. R = R ¯ M (I) Here, universal gas constant is R ¯ and molecular weight of air M Write the equation for velocity of sound in air. c = k R T (II) Here specific heat ratio is k , specific gas constant is R and temperature is T . Write the expression for Mach number. M = V c (III) Here, velocity of the gas is V and velocity of sound is c . Write the equation for stagnation pressure. p 0 p = ( 1 + k − 1 2 M 2 ) k k − 1 (IV) Here, mach number is M and pressure is p . Conclusion: Substitute, 1545.36 lbf ⋅ ft / lb ⋅ mol ° R for R ¯ and 28.97 lb / lbmol for M in Equation (I) R = 1545.36 lbf ⋅ ft / lb ⋅ mol ° R 28.97 lb / lbmol = 53.343 lbf ⋅ ft / lb ⋅ ° R Substitute 1.4 for k , 53.343 lbf ⋅ ft / lb ⋅ ° R for R , 600 ° R for T in Equation (II) c = 1.4 × 53.343 lbf ⋅ ft / lb ⋅ ° R × 600 ° R = 74

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832318

Author: MORAN

Publisher: WILEY

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Chapter 9.14, Problem 49CU

To determine

Whether the given statement “An ideal gas (k=1.4) has a velocity of 500 ft/s, a temperature of 600 °R and a pressure of 8 atm. The corresponding stagnation pressure is greater than 8 atm” is true or false.

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Chapter 9.14, Problem 48CU

Chapter 9.14, Problem 50CU

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Chapter 9 Solutions

Fundamentals of Engineering Thermodynamics

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Whether the given statement “An ideal gas (k=1.4) has a velocity of 500 ft / s , a temperature of 600 ° R and a pressure of 8 atm . The corresponding stagnation pressure is greater than 8 atm ” is true or false.

Whether the given statement “An ideal gas (k=1.4) has a velocity of 500 ft/s, a temperature of 600 °R and a pressure of 8 atm. The corresponding stagnation pressure is greater than 8 atm” is true or false.

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Chapter 9 Solutions