Calculate the final temperature of the metal.

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SUMMARY

The discussion focuses on calculating the final temperature of 24.100 kg of copper heated by 310.000 kJ of energy. The correct formula to use is Q = mcΔT, where Q represents heat energy, m is mass, c is specific heat capacity, and ΔT is the change in temperature. Participants clarified that the initial attempt at solving for T1 was incorrect due to algebraic errors, emphasizing the need to solve for the final temperature directly.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the specific heat capacity of copper.
  • Basic algebra skills for manipulating equations.
  • Knowledge of the formula Q = mcΔT.
NEXT STEPS
  • Research the specific heat capacity of copper for accurate calculations.
  • Practice solving heat transfer problems using Q = mcΔT.
  • Explore common mistakes in algebraic manipulation of physics equations.
  • Learn about energy conservation in thermal systems.
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone involved in heat transfer calculations in engineering or science fields.

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24.100kg of copper at 33.000 degrees Celsius receives 310.000 kJ of heat. Calculate the final temperature of the metal.


Homework Equations



Q=mc(t2-t1)



The Attempt at a Solution



I solved the equation for T1

T1=c*m*Q-T2 / C*m

The answer however seems really small and doesn't make sense, is this even the correct formula?
 
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nvm this is the wrong formula how i would still like some help solving this question
 
It's the right formula - you messed up the algebra.
You are supposed to be solving for the final temperature.

Try starting from ##Q=mc\Delta T##
 
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