Explanation Write the expression for the number of moles of nitrogen. n = m M . (I) Here, mass of nitrogen is m , molecular mass of nitrogen is M and number of moles of nitrogen is n . Write the expression for change in internal energy. Δ U = n ( u 2 − u 1 ) (II) Here, change in the internal energy is Δ U , initial specific internal energy is u 1 and final specific internal energy is u 2 . Write the expression for rate of energy transfer. W ˙ e l e c t = V I (III) Here, rate of energy transfer is W ˙ e l e c t , voltage is V and current is I . Write the expression for electric power developed in tank. W e l e c t = W ˙ e l e c t ( Δ t ) (IV) Here, time interval is Δ t , and electric power developed in the tank is W e l e c t . Write the expression for change in internal energy by using First law of Thermodynamics. Δ U = Q − W e l e c t (V) Here, heat transfer is Q . Write the expression for final pressure using the ideal gas Equation. p 2 = p 1 ( T 2 T 1 ) (VI) Here, initial temperature is T 1 , final temperature is T 2 , initial pressure is p 1 and final pressure is p 2 . Conclusion: Substitute 2 kg for m and 28.01 kg kmol for M in Equation (I). n = 2 kg 28.01 kg / kmol = 0.0714 kmol Refer to the Table A-23, “Ideal gas properties of selected gases” to obtain the value of u 1 at 300 K as 7237.4 kJ / kmol . Substitute 6299 kJ / kmol for u 1 and 0.0714 kmol for n in Equation (II). Δ U = ( 0.0714 kmol ) ( u 2 − 6299 kJ / kmol ) = u 2 ( 0.0714 kmol ) − 449.7486 kJ Substitute 120 V for V and 1 A for I in Equation (III). W ˙ e l e c t = ( 120 V ) ( 1 A ) = ( 120 W ) ( 1 kW 1000 W ) = 0

Fundamentals of Engineering Thermodynamics, Binder Ready Version

8th Edition

ISBN: 9781118820445

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

Publisher: WILEY

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Chapter 3.14, Problem 127P

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The final temperature of nitrogen.

The final pressure of nitrogen.

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Chapter 3.14, Problem 126P

Chapter 3.14, Problem 128P

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Fundamentals of Engineering Thermodynamics, Binder Ready Version

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The final temperature of nitrogen. The final pressure of nitrogen.