Hi, I am really struggling solving this problem, please I would like to have a c

Question

Hi, I am really struggling solving this problem, please I would like to have a complete annswer for this problem step by step,with a fully detailed answer.
please try to answer it as fast as you can
thank you so much

Steel balls at 150 ?C with a specific heat of 0.50 kJ/kg, ?C are quenched in an oil bath to an average temperature of 70 C at rate of 15 balls per minute. If the average mass of steel balls is 1.2kg, the rate of heat transfer from the balls of oil is
(a)22.5 KJ/s (b)12kJ/s (c)48 kJ/s (d)10.5 kJ/s (e)2880 kJ/s

Explanation / Answer

t = 150°C, c = 0.50 kJ/kg°C, t' = 70°C, dN/dt = 15 balls/min = 0.25 balls/s, m = 1.2 kg,

the heat transfer Q = (Nm)c(t - t')

the rate of heat transfer from the balls of oil = dQ/dt

= (dN/dt)*m*c*(t - t') = 0.25*1.2*0.5*(150 - 70) = 12 kJ/s

answer: b

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