Specific heat capacity - heating ice/water

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Homework Help Overview

The problem involves a pot containing water and ice at equilibrium, where the temperature remains constant at 0°C for a period before increasing. Participants are tasked with determining the initial mass of ice based on specific heat capacity and latent heat equations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss equating heat transfer equations involving the mass of ice and water, questioning the validity of their approaches when results differ from textbook answers.

Discussion Status

Multiple approaches have been presented, with participants exploring the implications of time on the melting and heating stages. Some guidance has been offered regarding the constant heat source, but no consensus has been reached on the correct method or assumptions.

Contextual Notes

Participants are considering the effects of time on the heating and melting processes, as well as the specific heat and latent heat values provided in the problem statement.

slaw155
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Homework Statement


A pot on a stove burner contains 10kg of water and an unknown mass of ice at equilibrium at 0degC at time = 0min. During the first 50mins, the mixture remains at 0degC. From 50 to 60mins the temperature increases to 2degC. What is the initial mass of ice? Ignore the heat capacity of the pot. Take specific heat capacity of water to be 4186J/kg/degC and latent heat of water fusion to be 3.3x10^5 J/kg.


Homework Equations



q=mcT and q=mL

The Attempt at a Solution


I tried equating the two 'q' in the above equations with 'm' in mcT being mass of ice added to mass of water, and T there being 2. However this gives me an answer different to the book. Is my approach wrong or am I missing something?
 
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What is your approach to solving this?
 
NascentOxygen said:
What is your approach to solving this?

I went (mass of ice + mass of water) x c x 2 = mass of ice x L. This gives mass of ice in the range of 0.3kg whereas the textbook answer is about 1.4kg.
 
slaw155 said:
I went (mass of ice + mass of water) x c x 2 = mass of ice x L. This gives mass of ice in the range of 0.3kg whereas the textbook answer is about 1.4kg.
What about the time taken in each stage?
 
haruspex said:
What about the time taken in each stage?

How would we take into account the time of each stage? Melting takes 50mins and the heating to raise temp by 2degC takes 10mins.
 
slaw155 said:
How would we take into account the time of each stage? Melting takes 50mins and the heating to raise temp by 2degC takes 10mins.
The heat source is adding heat to the pot's contents at a constant rate.
 
Forgot to quote
 
NascentOxygen said:
The heat source is adding heat to the pot's contents at a constant rate.
Thanks
 
Last edited:

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