An industrial process requires a 10.0 Kg Iron bar to be at heated to a temperature...

An industrial process requires a 10.0 Kg Iron bar to be at heated to a temperature of T_F = 1100.0 C before a forging process can proceed. The induction heater that is used during the process produces a power output of P = 50,000 watts or (j/s) to heat the bar.

a) If the bar starts at a temperature of T_i = 20.0 C how much energy is required to raise the temperature of the bar to the working temperature of T_F = 1100 C? The specific heat of Iron is C_I = 450.0 (j/Kg C).

b) How long will it take the induction heater at a power output of P = 50,000 watts or (j/s) to heat the bar?

c) If the bar has an initial length of L_o=1.0 m at 20 C what will the length of the bar be after a heating process that increases its temperature from 20.0 C to 1100 C? The linear expansion coefficient of Iron is α_I = 12.0 x 10^-6 (1/C).

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genius_generous answered 1 year ago

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