A 15kg iron ball whose specific heat is 045 kJkgC is at a un
A 15-kg iron ball whose specific heat is 0.45 kJ/kg.°C is at a uniform temperature of -10°C. For an environment temperature of 25°C, the exergy content of this ball is 1. Less than zero 2. 0 kJ 3. 1.0 kJ 4. 15 kJ 5. 236 kJ
Solution
MASS OF IRON BALL,M = 15KG
SPECIFIC HEAT OF BALL,Cp = .45KJ/KG.°C
TEMPERATURE OF BALL,Tb = -10°C
SURROUNDING TEMPERATURE,To = 25°C
EXERGY CONTENT OF BALL,X = M.Cp[(Tb-To)-[To.ln(To/Tb) ]] = 15*.45*(25 -(-10)) KJ -15*.45*298*ln(298/263) KJ =( 236 - 251) KJ =15 KJ
SO X = 15 KJ
SO OPTION (4) IS CORRECT
