- #1
MAC5494
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Homework Statement
160 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 950 grams and initial temperature 26° C (the heat capacity of aluminum is 0.9 J/gram/K).
(a) After a short time, what is the temperature of the water?
Homework Equations
ΔE = ΔKsys + Δ(Msysc^2) + ΔUsys + ΔEint = Wsurr + Q
Wsurr + Q = 0 because the surroundings aren't effecting the problem, and ΔEint isn't changing.
ΔEint = 0
So...
m1C1*ΔT + m2C2*ΔT = 0
m1C1(Tf - 373.15K) + m2C2(Tf - 299.15K) = 0
From there I don't know what to do. I know I have to solve for Tf, but I guess my problem is I don't know how to solve for Tf.
I know that Tf is the same for both of them, but that doesn't really help me solve for it. I'm probably just not thinking straight right now.
The Attempt at a Solution
Couldn't get an answer because I can't figure out how to solve for Tf.