Cooling Time of Water: Vol, Temp & Details

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    Cooling Water
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Discussion Overview

The discussion focuses on determining the cooling time of a volume of water from an initial temperature to a final temperature in a specified ambient temperature. It explores various factors that influence this cooling process, including volume, container shape, and environmental conditions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Experimental/applied

Main Points Raised

  • One participant questions the importance of the volume of water in calculating cooling time, suggesting it may be relevant due to specific heat capacity.
  • Another participant emphasizes the need for the area through which heat dissipates and mentions using Newton's law of cooling, implying integration may be necessary.
  • Factors affecting cooling include the shape of the container, whether it is open or closed, the insulation value of the container, the ambient temperature, and humidity, especially if evaporation is significant.
  • One participant proposes measuring temperature drops at specific intervals to create a curve for estimating when the water reaches the desired final temperature.
  • A later reply asserts that predicting heat transfer performance from scratch is extremely difficult, suggesting that experimental data is typically used to establish a baseline for calculations.
  • Another participant corrects their earlier wording, indicating that extrapolation rather than estimation should be used in the context of data analysis.

Areas of Agreement / Disagreement

Participants generally agree on the importance of various factors in the cooling process, but there is no consensus on a definitive method for calculating cooling time, as multiple approaches and considerations are discussed.

Contextual Notes

Limitations include the dependence on specific assumptions about the container and environmental conditions, as well as the unresolved mathematical steps involved in applying Newton's law of cooling.

Who May Find This Useful

This discussion may be useful for individuals interested in thermodynamics, experimental physics, or engineering applications related to heat transfer and cooling processes.

Razzor7
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I would like to determine how long it would take a volume of water to cool from an initial temperature to a final temperature in a given ambient temperature. I don't know the volume, is this information important? If so, is there any way to come up with the time it would take as a function of the volume? Are there any other important details we need?
 
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Razzor7 said:
I don't know the volume, is this information important?

Yes, it has to do with the specific heat capacity of water.

Another info you will need is the area through which the heat dissipates.

You need to use Newtons law of cooling after that...with a bit of integration.
 
Razzor7 said:
Are there any other important details we need?
The shape of the container - cooling happens only on the surface of the water.
If it is open or closed
The insulation value of the container
The temperature of the room
The humidity if the water is warm enough that evaporation is going to matter.

The easy way is to measure the temperature drop in the 1st minute, 2nd minute etc for a few data points and plot a curve and then estimate where it crosses the final temperature you want.
 
mgb_phys said:
The shape of the container - cooling happens only on the surface of the water.
If it is open or closed
The insulation value of the container
The temperature of the room
The humidity if the water is warm enough that evaporation is going to matter.

The easy way is to measure the temperature drop in the 1st minute, 2nd minute etc for a few data points and plot a curve and then estimate where it crosses the final temperature you want.
It is extrordinarily difficult (virtually impossible) to predict in advanced the heat transfer performance of a vessel, from scratch. Almost all real problems like this are solved via that second method: using experimental data as a baseline at least to give you the heat transfer coefficient. That curve, though, is Newton's law of cooling, so once you have a couple of data points, you aren't estimating anymore, you have all the information to plug into the equation and calculate the answer.
 
Sorry should have said extrapolate not estimate
 

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