What is the Final Temperature of the Mixture?

[Brian13]

Homework Statement

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?

Homework Equations

I believe it should be cmΔT=cmΔT

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]

Homework Statement

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?

Homework Equations

I believe it should be cmΔT=cmΔT

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.