Specific heat and latent heat of fusion

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SUMMARY

The discussion focuses on calculating the mass of remaining ice after adding it to a jar of tea to cool it down. The specific heat capacity of water is established as 4186 J/Kg°C, and the latent heat of fusion for water is 3.33 x 10^5 J/Kg. The calculations provided indicate that the mass of the remaining ice is incorrectly calculated as 553.1 grams, which exceeds the initial mass of ice added (112 grams). The error arises from not accounting for the temperature increase of the melted ice after it has fully melted.

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  • Understanding of specific heat capacity and its formula (Q = Cp * m * ΔT)
  • Knowledge of latent heat of fusion and its application (Q = m * Lf)
  • Basic algebra skills for manipulating equations
  • Familiarity with units of measurement in physics (grams, kilograms, Joules)
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  • Review the principles of thermodynamics related to heat transfer
  • Study the calculations involving specific heat and latent heat in detail
  • Practice problems involving phase changes and temperature changes in substances
  • Explore the concept of thermal equilibrium and its applications
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Students studying physics, particularly those focusing on thermodynamics, as well as educators looking for practical examples of heat transfer calculations.

rahndezvous
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Hi this is my first post and I'm stumped on my last HW problem, so I'm open to suggestions or solutions.

1. A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 35°C. In an attempt to cool the liquid, which has a mass of 220 g, 112 g of ice at 0.0°C is added. At the time at which the temperature of the tea is 15°C, determine the mass of the remaining ice in the jar. Assume the specific heat capacity of the tea to be that of pure liquid water.

_______grams




2. specific heat of water 4186 J/Kg*C
Latent heat of fusion for water 3.33*10^5 J/Kg
Q=Cp*m*/\T
Q=m*Lf
m=Q/Lf




4186 Cp*.22 Kg*20 C=18418.4
18418.4/3.33*10^5 Lf = .5531
.5531*1000=553.1g


Why do I get more than i started with?
 
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please reply within the next 9.5 hours thanks :)
 
rahndezvous, don't forget that once you've melted the ice, you then need to increase the temperature of the melted ice to 15oC.
 

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