SUMMARY
The final temperature of a mixture containing 300 g of water at 75°C and 20 g of ice at 0°C in a 200 g aluminum calorimeter is calculated to be 66.5°C. The heat lost by the water is determined using the formula Q = mcΔT, resulting in 94,185 J. The heat required to melt the ice is calculated using the latent heat of fusion (Lf = 33.5 x 104 J/kg), yielding 6,700 J. The heat exchange involving the aluminum calorimeter is also accounted for, confirming the final temperature of the mixture as 66.6°C.
PREREQUISITES
- Understanding of heat transfer principles
- Knowledge of specific heat capacity (Cal = 900 J/kg°C)
- Familiarity with latent heat of fusion (Lf = 33.5 x 104 J/kg)
- Ability to apply the conservation of energy concept
NEXT STEPS
- Study the principles of calorimetry and heat exchange
- Learn about specific heat capacities of various materials
- Explore the calculations involved in phase changes and latent heat
- Investigate advanced calorimetry techniques for more complex mixtures
USEFUL FOR
Students studying thermodynamics, physics educators, and anyone involved in calorimetry experiments or heat transfer calculations.