Explanation Express the mass of the egg. m = ρ ν = ρ [ π D 3 6 ] (I) Here, diameter is D , density is ρ and volume is ν . Express the energy balance by taking the egg as the system which is a closed system. E in − E out = Δ E system Q in = Δ U egg = m ( u 2 − u 1 ) = m c p ( T 2 − T 1 ) (II) Here, the total energy entering the system is E in , the total energy leaving the system is E out , the change in the total energy of the system is Δ E system , net internal energy of egg is Δ U egg , heat transfer is Q in , initial and final specific internal energy is u 1 and u 2 respectively, specific heat at constant pressure is c p and initial and final temperature is T 1 and T 2 respectively. Express the change in entropy of system. Δ S system = m ( s 2 − s 1 ) = m c p ln T 2 T 1 (III) Here, initial and final specific entropy is s 1 and s 2 respectively, specific heat at constant pressure is c p and initial and final temperature is T 1 and T 2 respectively. Express the entropy generation by taking entropy balance on an extended system that includes the egg and its immediate surroundings. S in − S out + S gen = Δ S system Q in T 0 + S gen = Δ S system S gen = − Q in T 0 + Δ S system (IV) Here, net entropy transfer by heat and mass is S in − S out , entropy generation is S gen , change in entropy of system is Δ S system and surrounding temperature is T 0 . Express the amount of exergy destruction associated with the heat transfer process. X destroyed = T 0 S gen (V) Here, entropy generation is S gen . Conclusion: Substitute 1020 kg / m 3 for ρ and 5 .5 cm for D in Equation (I). m = ( 1020 kg / m 3 ) [ π ( 5 .5 cm ) 3 6 ] = ( 1020 kg / m 3 ) [ π { ( 5 .5 cm ) ( m / 100 cm ) } 3 6 ] = ( 1020 kg / m 3 ) [ π ( 0.055 m ) 3 6 ] = 0.08886 kg Substitute 3 .32 kJ / kg ⋅ °C for c p , 0

8th Edition

ISBN: 9781307434316

Author: CENGEL

Publisher: INTER MCG

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Chapter 8.8, Problem 45P

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The heat transferred to the egg and the amount of exergy destruction associated with the heat transfer process.

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Chapter 8.8, Problem 44P

Chapter 8.8, Problem 46P

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