To determine The final temperature of the air remaining in tank in ° F . Explanation Write the equation of ideal gas model. p V = m R T (I) Here, the pressure is p , the volume is V , the mass is m , the universal gas constant is R and the temperature is T . Apply the Equation (I) for the sate 1 to obtain the initial mass of the air in tank. m 1 = p 1 V R T 1 (II) Apply the Equation (I) for the sate 2 to obtain the temperature of the air in tank. T 2 = p 2 V R m 2 (III) Here, the suffixes 1 and 2 indicate the initial and final states. Write the formula for expelled mass ( m e ) of the air at the time Δ t . m e = m ˙ e Δ t (IV) Here, the expelled mass flow rate is m ˙ e and the change in time is Δ t . Write the formula for final mass of the air in the tank. m 2 = m 1 − m e (V) Conclusion: Substitute 0.03 lb/s for m ˙ e and 90 s for Δ t in Equation (IV). m e = ( 0.03 lb/s ) ( 90 s ) = 2.7 lb Substitute 100 lbf/in . 2 for p 1 , 8 ft 3 for V , 1545 ft ⋅ lbf lbmol ⋅ °R for R and 80 ° F for T 1 in Equation (II). m 1 = ( 100 lbf/in . 2 ) ( 8 ft 3 ) ( 1545 ft ⋅ lbf lbmol ⋅ °R ) ( 80 ° F ) = ( 100 lbf/in . 2 × 144 in . 2 1 ft 2 ) ( 8 ft 3 ) ( 1545 ft ⋅ lbf lbmol ⋅ °R × 1 28

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 4.12, Problem 11P

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The final temperature of the air remaining in tank in °F.

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Fundamentals of Engineering Thermodynamics

Ch. 4.12 - Prob. 1E Ch. 4.12 - 2. When a drip coffeemaker on-off switch is turned...Ch. 4.12 - Prob. 3E Ch. 4.12 - Prob. 4E Ch. 4.12 - Prob. 5E Ch. 4.12 - Prob. 6E Ch. 4.12 - Prob. 7E Ch. 4.12 - Prob. 8E Ch. 4.12 - Prob. 9E Ch. 4.12 - 10. How does the operator of a pumper-tanker fire...

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