Optimizing Water Temperature and Density for Mixing

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Homework Help Overview

The discussion revolves around a problem involving the mixing of water at different temperatures, specifically determining the volume of water at 25°C needed to achieve a final mixture temperature of 60°C when combined with water at 75°C.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the concept of heat transfer using the equation Q = mcΔt, questioning whether the heat lost by the hotter water equals the heat gained by the cooler water. There is also a discussion about setting up an equation based on the proportionality of heat in the mixture.

Discussion Status

Some participants have provided insights into the heat transfer principles involved and have begun to formulate an equation to represent the problem. However, there remains a lack of explicit consensus on the specific values or additional information needed to solve for the unknowns.

Contextual Notes

There is an indication that the original poster has not specified the volume of the 25°C water or the total desired volume of the mixture, which affects the ability to reach a definitive solution.

jazzchan
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Dear all

Here is a question i need to help

Can I know how much water at 25^C to put into a water at 75^C and then the mixture is 60^C ??

thanks and best regards

Jazz
 
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Use
[tex]Q = mc\Delta t[/tex]
Viet Dao,
 
is it mean the Q of temperature from 75 to 60^c is equal to the Q of 25 to 60^C ??

thank
 
Since we are dealing with water of a constant heat capacity, it's not the complicated. You can treat it as a "mixture" problem. If you have x cm 3 of 25 degree water, the heat is proportional to 25x. If you have y cm3 of 75 degree water, the heat is proportional to 75y. Mixing those together you have x+ y cm3 of water that you want to be 60 degrees so the mixture's hear is proportional to 60(x+y). You want 25x+ 75y= 60(x+y). Of course, that's one equation in two unknowns because you didn't say how much of the 25 degree water you had or how much water you wanted to end up with.
 
yes...my question is to find how much 25 degree water should be used...

would u tell me more ??

thanks...
 

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