(a) Explanation Write the ideal gas equation to calculate the mass of the gas ( m ) . m = P 1 V 1 R T 1 (I) Here, initial pressure of the gas is P 1 , initial volume of the gas is V 1 , gas constant is R , and the initial temperature is T 1 . Write the energy balance equation for the entire system considering it as a stationary closed system. E in − E out = Δ E system ︸ = 0 0 = Δ U 0 = [ m c v ( T 2 − T 1 ) ] N 2 + [ m c v ( T 2 − T 1 ) ] He (II) Here, net energy input to the system is E in , net energy output to the system is E out , the change in net energy is Δ E system , change in internal energy is Δ U , constant volume specific heat is c v , final temperature is T 2 , and the initial temperature is T 1 . Conclusion: Refer the Table A-1E of “Molar mass, gas constant, and critical-point properties”, obtain the gas constants of Nitrogen and Helium as R N 2 = 0.2968 kPa ⋅ m 3 / kg ⋅ K R He = 2.0769 kPa ⋅ m 3 / kg ⋅ K Refer the Table A-2E of “Ideal-gas specific heats of various common gases”, obtain the specific heats of Nitrogen and Helium as c p , N 2 = 1.039 kJ / kg ° C c v , N 2 = 0.743 kJ / kg ° C c p , He = 5.1926 kJ / kg ° C c v , He = 3.1156 kJ / kg ° C Substitute 500 kPa for P 1 , 1 m 3 for V 1 , 0.2968 kPa ⋅ m 3 / kg ⋅ K for R N 2 , and 353 K for T 1 , N 2 in Equation (I) (b) To determine The amount of wasted work potential for the process. The amount of wasted work potential for the process when piston is restricted from moving.

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 8.8, Problem 106RP

(a)

To determine

The final temperature in the cylinder at equilibrium condition.

(b)

To determine

The amount of wasted work potential for the process.

The amount of wasted work potential for the process when piston is restricted from moving.

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Chapter 8.8, Problem 105RP

Chapter 8.8, Problem 107RP

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The final temperature in the cylinder at equilibrium condition.

Solution Summary: The author analyzes the energy balance equation for the entire system considering it as a stationary closed system.

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The final temperature in the cylinder at equilibrium condition.

The amount of wasted work potential for the process. The amount of wasted work potential for the process when piston is restricted from moving.

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Chapter 8 Solutions

The amount of wasted work potential for the process.

The amount of wasted work potential for the process when piston is restricted from moving.