How much water boils off when a hot horseshoe is dropped in

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SUMMARY

The discussion centers on calculating the amount of water that boils off when a 0.7 kg iron horseshoe at 1200°C is dropped into 0.5 L of water at 30°C. The key equations used include Q = mcΔT for both the horseshoe and the water, where m is mass, c is specific heat, and ΔT is the change in temperature. The final calculations reveal that approximately 0.0922 kg (or 0.0922 L) of water boils off, based on the heat exchange until thermal equilibrium is reached.

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  • Understanding of heat transfer principles, specifically the conservation of energy.
  • Familiarity with the specific heat capacities of water (4187 J/(kg*K)) and iron (460.548 J/(kg*K)).
  • Knowledge of latent heat of vaporization (2256 kJ/kg) for water.
  • Ability to apply the equation Q = mcΔT in thermal calculations.
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  • Learn how to apply the conservation of energy principle in thermal systems.
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  • #31
haruspex said:
Right, so how much water will boil off.

with delta(E) = 0 = Qshoe + Qsteam
-Qshoe = Qsteam
208076.96J = L Msteam with L being the latent heat of vaporization = 2256 kJ/kg = 2256000 J/kg
Msteam = .0922kg = .0922L
 
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  • #32
Shmiam said:
with delta(E) = 0 = Qshoe + Qsteam
-Qshoe = Qsteam
208076.96J = L Msteam with L being the latent heat of vaporization = 2256 kJ/kg = 2256000 J/kg
Msteam = .0922kg = .0922L
Looks right.
 
  • #33
haruspex said:
Looks right.
Awesome! Thank you very much for all of the guidance, I think it helped me to understand the concepts here much more
 
  • #34
Shmiam said:
Awesome! Thank you very much for all of the guidance, I think it helped me to understand the concepts here much more
That's a good result then.
 

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