A steel bar weighing 4 kg was heated and 200,000 J of heat was expended. Determine the final body
May 30, 2021 | education
| A steel bar weighing 4 kg was heated and 200,000 J of heat was expended. Determine the final body temperature if the initial temperature is t = 10 ° C.
The amount of heat that was spent on heating the steel bar:
Q = C * m * (tк – tн), where Q is the consumed amount of heat (Q = 200000 J), C is the specific heat capacity of steel (C = 500 J / (kg * K)), m is the mass of the bar (m = 4 kg), tк – final temperature, tн – initial temperature (tн = 10 ºС).
Let us express and calculate the final temperature of the bar:
Q = С * m * (tк – tн).
tк = Q / (С * m) + tн = 200000 / (500 * 4) + 10 = 110 ºС.
Answer: The final temperature of the bar is 110 ° C.
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