SUMMARY
The final temperature of the mixture, calculated using the principle of conservation of energy, is approximately 20.81 degrees Celsius. The experiment involves 1.1 kg of aluminum heated to 92 degrees Celsius and mixed with 0.5 kg of water at 12 degrees Celsius. The heat lost by aluminum equals the heat gained by water, leading to the equation (1.1)(880)(92-t) = (0.5)(4200)(t-12). The solution reveals an arithmetic error in the original calculation, emphasizing the importance of verifying each step in the process.
PREREQUISITES
- Understanding of heat transfer principles
- Knowledge of specific heat capacity (Cw and Cal)
- Ability to solve linear equations
- Familiarity with the conservation of energy concept
NEXT STEPS
- Review the concept of specific heat capacity in thermodynamics
- Practice solving heat transfer problems involving different materials
- Learn about the conservation of energy in closed systems
- Explore common arithmetic errors in physics calculations
USEFUL FOR
Students studying physics, particularly those focusing on thermodynamics and heat transfer, as well as educators looking for examples of energy conservation in practical scenarios.