Cooling Time of Water: Vol, Temp & Details

In summary, the main question is how long it would take for a volume of water to cool from an initial temperature to a final temperature in a given ambient temperature. The specific heat capacity of water and the area through which the heat dissipates are key pieces of information. Other important details to consider include the shape of the container, whether it is open or closed, the insulation value of the container, the temperature of the room, and the humidity. The most efficient method to determine the cooling time is by measuring the temperature drop at various time intervals and using Newton's law of cooling to calculate the final time. It is challenging to predict heat transfer performance without experimental data, so using a curve based on actual measurements is recommended.
  • #1
Razzor7
49
0
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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  • #2
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.
 
  • #3
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.
 
  • #4
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.
 
  • #5
Sorry should have said extrapolate not estimate
 

What is the cooling time of water?

The cooling time of water refers to the amount of time it takes for water to decrease in temperature to a desired level.

What factors affect the cooling time of water?

The volume of water, starting temperature, and surrounding temperature all affect the cooling time of water. Other factors such as air flow and agitation can also impact the cooling time.

How does the volume of water impact the cooling time?

The larger the volume of water, the longer it will take to cool down. This is because there is more mass to cool and it takes longer for heat to dissipate from a larger body of water.

What is the relationship between starting temperature and cooling time?

The higher the starting temperature of water, the longer it will take to cool down. This is because there is a larger difference in temperature between the water and its surroundings, causing heat to dissipate at a slower rate.

How does surrounding temperature affect the cooling time of water?

The surrounding temperature plays a significant role in the cooling time of water. If the surrounding temperature is lower than the starting temperature of the water, it will cool down faster. However, if the surrounding temperature is higher, it will take longer for the water to cool down.

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