SUMMARY
The equilibrium temperature when mixing 1 kg of water at 100°C with 10 kg of water at 0°C is slightly above 0°C. The calculation involves using the formula Q = mcΔT, where Q represents heat, m is mass, c is specific heat capacity (4186 J/kg°C for water), and ΔT is the change in temperature. The heat lost by the hot water equals the heat gained by the cold water, leading to a final temperature of approximately 9.09°C. This scenario exemplifies a weighted average problem in thermodynamics.
PREREQUISITES
- Understanding of thermodynamics principles
- Familiarity with the specific heat capacity of water (4186 J/kg°C)
- Knowledge of the Q = mcΔT formula
- Basic algebra for solving equations
NEXT STEPS
- Study the concept of heat transfer in thermodynamics
- Learn about latent heat and its effects on phase changes
- Explore weighted averages in mathematical problems
- Investigate the specific heat capacities of different substances
USEFUL FOR
Students studying physics or chemistry, educators teaching thermodynamics, and anyone interested in understanding heat transfer and equilibrium temperature calculations.