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What is the Final Temperature of the Mixture?

1. The problem statement, all variables and given/known data
Assuming no heat loss to the container or the environment, what is the final temperature (K) of a mixture of 9.28L of liquid 1 (density=1070kg/L & specific heat capacity of 4358J/kg/K) at 378K and 12.15L of a second liquid (density=1070kg/L & specific heat capacity of 1776J/kg/K) at 296K?

2. Relevant equations
I believe it should be cmΔT=cmΔT

3. The attempt at a solution
I came up with (cH)(mH)(TH-TM)=(cL)(mL)(TM-TL)
H= Mixture with higher temp
M=The middle temp we are looking for
L= Mixture with lower temp
 

SteamKing

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1. The problem statement, all variables and given/known data
Assuming no heat loss to the container or the environment, what is the final temperature (K) of a mixture of 9.28L of liquid 1 (density=1070kg/L & specific heat capacity of 4358J/kg/K) at 378K and 12.15L of a second liquid (density=1070kg/L & specific heat capacity of 1776J/kg/K) at 296K?

2. Relevant equations
I believe it should be cmΔT=cmΔT

3. The attempt at a solution
I came up with (cH)(mH)(TH-TM)=(cL)(mL)(TM-TL)
H= Mixture with higher temp
M=The middle temp we are looking for
L= Mixture with lower temp
Yeah, but what's the answer to the question?

Also, isn't a liquid with a density of 1070 kg/L rather heavy? You'd need a crane to pick up a cupful of this stuff.
 

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