Heat Absorbed to Melt Ice & Warm Water to 10°C

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Homework Help Overview

The discussion revolves around calculating the heat absorbed by a block of ice as it transitions from a temperature of -20°C to melting and then warms to 10°C. The problem involves concepts from thermodynamics, specifically related to heat transfer and phase changes.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to calculate three distinct energy components: heating the ice, melting the ice, and heating the resulting water. There is mention of using specific heat capacities for both ice and water, and some participants express uncertainty about the term "latent heat of fusion."

Discussion Status

There appears to be a productive exchange of ideas, with participants clarifying the steps involved in the calculations. Some guidance has been provided regarding the different specific heats and the concept of latent heat, although not all participants fully understand the latter.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the depth of discussion regarding the underlying principles. There is a noted lack of clarity around certain terms, such as "latent heat of fusion," which may affect the understanding of the problem.

Sabres151
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A 4.00kg block of ice is removed from a freezer where its temperature was maintained at -20C. Find the heat that the ice must absorb in order to warm up to its melting point, melt, and then the water warms up to 10.0 degrees. The specific heat capacity of ice = 2000J/kg-degrees C, the specific heat of water is 4180 J/kg-degrees C and the latent heat of fusion for ice is 335000 J/kg.

I don't even know where to start.
Something with this: Q = Cm(delta T)
DeltaT = 30 degrees C
 
Last edited:
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you need a 3 energies -

one to heat the ice
one to melt the ice
one to heat the water

th first and third are calculated the way you state (but with different speicifc heats, since they are different for water and ice)
the second is calculated by mass * specific heat capacity
 
stunner5000pt said:
you need a 3 energies -

one to heat the ice
one to melt the ice
one to heat the water

th first and third are calculated the way you state (but with different speicifc heats, since they are different for water and ice)
the second is calculated by mass * specific heat capacity

Ok, that clarifies a few things then. Thanks for the help Stunner. Though I'm not exactly sure what "latent heat of fusion" means, I think it applies to the mass equation..
 
stunner5000pt said:
you need a 3 energies -

one to heat the ice
one to melt the ice
one to heat the water

th first and third are calculated the way you state (but with different speicifc heats, since they are different for water and ice)
the second is calculated by mass * specific heat capacity

Ok, that clarifies a few things then. Thanks for the help Stunner. Though I'm not exactly sure what "latent heat of fusion" means, I think it applies to the mass equation..
 
stunner5000pt said:
you need a 3 energies -

one to heat the ice
one to melt the ice
one to heat the water

th first and third are calculated the way you state (but with different speicifc heats, since they are different for water and ice)
the second is calculated by mass * specific heat capacity

Ok, that clarifies a few things then. Thanks for the help Stunner. Though I'm not exactly sure what "latent heat of fusion" means, I think it applies to the mass equation..
 
Sabres151 said:
Ok, that clarifies a few things then. Thanks for the help Stunner. Though I'm not exactly sure what "latent heat of fusion" means, I think it applies to the mass equation..

latent heat of fusion is the amount of energy required per kilogram to melt the ice
 

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