What is the Final Temperature of the Mixture?

Brian13

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

Related Introductory Physics Homework News on Phys.org

SteamKing

Staff Emeritus
Homework Helper
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.

"What is the Final Temperature of the Mixture?"

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving