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.
PREREQUISITES
- 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.
NEXT STEPS
- Learn how to apply the conservation of energy principle in thermal systems.
- Study the concept of latent heat and its role in phase changes.
- Explore more complex heat transfer problems involving multiple substances.
- Investigate the effects of different initial temperatures on heat exchange outcomes.
USEFUL FOR
Students in physics or engineering, particularly those studying thermodynamics, as well as professionals involved in heat transfer calculations and thermal system design.