Can an Equation Account for Heat Exchange Between Two Liquids in a Solution?

[jamesyboy1990]

Homework Statement

hi, i have a lab for thermal physics in which the cooling of coffee is monitored. The variable change is the amount of milk that is added once the coffee is brewed. My question is whether there is an equation that relates heat exchange between 2 liquids in a solution? (an equation that also accounted for the room temperature would be even more helpful)

Homework Equations

mcΔT = mcΔT

The Attempt at a Solution

i know that the above equation due to law of conservation of energy where m is mass, c is heat capacity, and ΔT is temperature change. However, this one only finds a final temperature. I wanted an equation that would take into account for time. Thanks.

 

[anathema]

Hello, thank you for your question. Yes, there is an equation that relates heat exchange between two liquids in a solution. It is known as the heat transfer equation and it is given by:

Q = U x A x ΔT

where Q is the heat transfer rate, U is the overall heat transfer coefficient, A is the surface area of heat transfer, and ΔT is the temperature difference between the two liquids. This equation takes into account the time factor as it is a rate equation.

In your specific case, you can use this equation to calculate the heat transfer rate between the coffee and milk as they mix together. You can also account for the room temperature by including it in the temperature difference (ΔT) term. The overall heat transfer coefficient (U) depends on various factors such as the properties of the liquids, the geometry of the container, and the flow rate of the liquids. You can find more information on how to calculate U for your specific setup in thermal physics textbooks or online resources.

I hope this helps and good luck with your lab!

 

[m2003]

I would suggest using the equation Q = mcΔT to calculate the heat exchange between two liquids in a solution, where Q is the amount of heat transferred, m is the mass of the liquid, c is the specific heat capacity, and ΔT is the change in temperature. This equation takes into account both the initial and final temperatures, as well as the time it takes for the heat exchange to occur. Additionally, the room temperature can also be taken into consideration by including it as one of the temperatures in the equation. It is important to note that the specific heat capacity may vary depending on the type of liquid and the temperature range, so it is important to use the correct value for accurate calculations.