183_notes:examples:thermal_equilibrium

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183_notes:examples:thermal_equilibrium [2014/10/28 05:13] – pwirving183_notes:examples:thermal_equilibrium [2014/10/28 13:54] (current) – pwirving
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 The total energy of the two blocks does not change, because there is no energy transfer from or to the surroundings. The total energy of the two blocks does not change, because there is no energy transfer from or to the surroundings.
 +
 +Therefore we want to solve for $T_{f}$ which is the final temperature for both blocks.
  
 $m_{1}C_{1}(T_{f} - T_{1i}) + m_{2}C_{2}(T_{f} - T_{2i}) = 0$ $m_{1}C_{1}(T_{f} - T_{1i}) + m_{2}C_{2}(T_{f} - T_{2i}) = 0$
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 +Substitute in values for all known variables and solve for $T_{f}$.
  
 $(300g)(1.0 J/K/g)(T_{f} - 500) + (650 g)(0.42 J/K/g)(T_{f} - 350) = 0$ $(300g)(1.0 J/K/g)(T_{f} - 500) + (650 g)(0.42 J/K/g)(T_{f} - 350) = 0$
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