Thermodynamics problem - need to find amount of water that boils

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SUMMARY

The discussion focuses on calculating the amount of water that boils when molten lead (10.28 kg) is poured into water (0.658 kg) at an initial temperature of 18.7°C. The key equations used include Q = mcΔT for heating the water and Q = mL for the latent heat of vaporization, where L = 2260 kJ/kg. The calculations reveal that the heat released by the lead during its phase change is 257 kJ, and the heat required to raise the water to boiling point is approximately 223.93 kJ. Ultimately, the amount of water that boils is calculated to be approximately 0.148 kg, contingent upon the energy balance between the lead and the water.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat transfer.
  • Familiarity with specific heat capacity and latent heat concepts.
  • Ability to perform energy balance calculations in phase change scenarios.
  • Knowledge of specific heat values for water and lead.
NEXT STEPS
  • Review the concept of latent heat and its application in phase changes.
  • Learn about energy conservation in thermodynamic systems.
  • Study the specific heat capacities of various materials, including lead and water.
  • Explore more complex thermodynamic problems involving multiple phase changes.
USEFUL FOR

Students and professionals in physics and engineering, particularly those focusing on thermodynamics, heat transfer, and energy systems. This discussion is beneficial for anyone needing to solve phase change problems in practical applications.

  • #31


The logic seemed right to me. Only problem, as gneill pointed out, could be with the accuracy of the constants.
 

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