If 226 g of water is contained in a 311 g alu- minum vessel at 11◦C and an additional 92 g of water at 91◦C is poured into the container, what is the final equilibrium temperature of the mixture? The specific heat of aluminum is 900 J/kg · ◦C and of water 4186 J/kg · ◦C .
Answer in units of ◦C.
heat gained by cool water + heat gained by Al vessel + heat lost by warm water = 0
[mass cool H2O x specific heat H2O x (Tfinal-Tinitial)] + {mass Al x specific heat Al x (Tfinal-Tinitial)] + [mass warm wH2O x specific heat H2O x (Tfinal-Tinitial)]=0
Solve for Tfinal. Note that Ti of Al is the same s the cool water.
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