Want to Calculate Volume, Given Time, Temperature & Energy

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Discussion Overview

The discussion revolves around calculating the volume of a tank containing water, given specific parameters such as temperature change, time to empty the tank, and energy absorbed during the temperature increase. The scope includes mathematical reasoning and conceptual clarification regarding the definitions of temperature and energy in this context.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks to calculate the volume of water in a tank based on a temperature change from 7°C to 11°C, a time of 20 minutes to empty, and an energy absorption of 25 kW.
  • Several participants question which volume is being referred to, specifically whether it is the volume at 7°C or at 11°C.
  • Another participant emphasizes that the temperature difference of 4°C does not correspond to a specific volume, suggesting that the actual temperature of the water should be considered.
  • A participant points out a potential error in the use of energy and power units, indicating that energy should be measured in kJ rather than kW.

Areas of Agreement / Disagreement

Participants express confusion regarding the definition of volume in relation to temperature and the appropriate units for energy and power. Multiple competing views remain regarding the interpretation of the temperature change and its implications for the volume calculation.

Contextual Notes

There are unresolved issues regarding the assumptions made about temperature and volume, as well as the correct application of energy and power units in the calculations.

FarabiBinImran
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Hi,
I want to calculate volume of a tank ,

1. Tank contains water and it leaves tank at 7 degree celsius and comes back at 11 degree celsius. So ∇T= 4°C.
2. Time required to complately empty 20 Minutes
3. Energy absorbed in raise from 7ºC to 11ºC = 25 KW
I need to calculate the volume of the Tank which contains water! how much water i need.

Thanks
 
Last edited:
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Which volume? At 7 C, or at 11 C?
 
Bystander said:
Which volume? At 7 C, or at 11 C?
At temperature difference 4 degree Celsius!
 
Start by calculating how many kg of water are involved. Try wikipedia to refresh your memory of what is meant by the Specific Heat of a substance.
 
FarabiBinImran said:
At temperature difference 4 degree Celsius!

This doesn't make sense. The water is never at this temperature; it's just a difference in temperatures, not an actual temperature.

To see this clearly, ask yourself what temperature you would be interested in if we were using Kelvin instead of Celsius: the water is changing temperature from 280 K to 284 K. Would you still want its volume at 4 K?
 
3. Energy absorbed in raise from 7ºC to 11ºC = 25 KW
Energy is measured in kJ. Power is measured in kW. So you need to make a correction to your statement in 3.
 

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