(a) Explanation Express mass of the ball. m = ρ ν = ρ [ π D 3 6 ] (I) Here, density of ball made up of steel is ρ , volume of ball is ν and diameter of ball is D . Express the energy balance by taking single ball as the closed system. E in − E out = Δ E system − Q out = Δ U Q out = m c p ( T 1 − T 2 ) (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 is Δ U , initial and final temperature is T 1 and T 2 respectively, heat transfer is Q out and specific heat at constant pressure is c p Express the rate of heat transfer from the balls to the air. Q ˙ out = n ˙ ball Q out (III) Here, rate of ball annealing per hour is n ˙ ball . Conclusion: Perform the unit conversion of diameter of ball from mm to m. D = 12 cm = 12 cm [ m 100 cm ] = 0.012 m Substitute 8085 kg / m 3 for ρ and 0.012 m for D in Equation (I) m = ( 8085 kg / m 3 ) [ π ( 0 (b) To determine The rate of exergy destruction due to heat loss from the balls to the air.

8th Edition

ISBN: 9780073398174

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

Publisher: McGraw-Hill Education

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Chapter 8.8, Problem 44P

(a)

To determine

The rate of heat transfer from the balls to the air.

(b)

To determine

The rate of exergy destruction due to heat loss from the balls to the air.

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Chapter 8.8, Problem 43P

Chapter 8.8, Problem 45P

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