Solving an Automobile Cooling System Question: 18L to kg Conversion

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SUMMARY

The forum discussion centers on calculating the heat absorbed by an automobile cooling system containing 18 liters of water as its temperature rises from 20ºC to 90ºC. The user initially assumes that 1 liter of water equals approximately 1 kilogram but later clarifies that the density of water is about 0.96 kg/L, leading to a mass of 17.28 kg for 18 liters. The heat absorbed is calculated using the formula Q = mc(T1 - T2), resulting in a total heat absorption of 5,063,385.6 Joules.

PREREQUISITES
  • Understanding of specific heat capacity (Q = mc(T1 - T2))
  • Basic knowledge of water density and conversions (1 L = 0.96 kg)
  • Familiarity with temperature scales (Celsius)
  • Concept of heat transfer in thermodynamics
NEXT STEPS
  • Research the specific heat capacity of different fluids for comparison
  • Learn about the effects of temperature on the density of water
  • Explore thermodynamic principles related to heat transfer
  • Investigate the implications of using varying densities in calculations
USEFUL FOR

Students studying physics, automotive engineers, and anyone involved in thermodynamics or heat transfer calculations.

Ryan231
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I've got a question to solve.. Just need 1 thing..

An automobile cooling system holds 18L of water. How much heat does it absorb if its temperature rises from 20ºC to 90ºC?

I need to find how many kg of water I have... and then plug into

Q =mc(T1-T2)

Q = (m)(4186)(-70)

Look good? just need help with converting 18L of water into kg\

Sorry this seems like a school question... I'm just not sure about converting from L to kg.. seemed like general physics to me
 
Last edited:
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If memory serves me correct, 1 liter of water has a mass of approximately 1 kilogram.

EDIT: to be more precise, 1 liter weighs 0.96 kilograms.
 
18L*.96 = 17.28kg of water...

So. Q= (17.28)(4186)(70)
= 5063385.6J

I think that's right?
 
Density of Water

As I understand it, the gram was defined as the mass of 1 cm^3 of water (at 4°C). That would make 1 liter of water exactly 1 kg. Where are you getting the .96 figure?
 
davidchandler said:
As I understand it, the gram was defined as the mass of 1 cm^3 of water (at 4°C). That would make 1 liter of water exactly 1 kg. Where are you getting the .96 figure?
Um...I went on wikipedia and did a search on liter
http://en.wikipedia.org/wiki/Liter

They said that
One litre of water weighs almost exactly one kilogram. Similarly: 1 ml of water weighs about 1 g; 1000 litres of water weighs about 1000 kg (1 tonne)

Its that almost exactly thing that made me do s ome searching.
here is where I got 0.96 from.
 
Last edited:

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