Calculate the mass of ice with heat transfer / latent heat

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Homework Help Overview

The problem involves calculating the initial mass of ice in a heat transfer scenario, where a solid is placed on top of the ice, leading to melting and a final equilibrium temperature. The subject area includes thermodynamics and heat transfer principles, particularly focusing on latent heat and specific heat capacities.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply heat transfer equations to find the mass of ice but expresses uncertainty about the next steps after calculating heat exchanges. Some participants question the initial and final conditions of the system and seek clarification on whether the goal is to find the mass of ice remaining or the initial mass.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the final temperature and clarifying the setup of the problem. There is no explicit consensus yet, but guidance is being offered regarding the interpretation of the final conditions and their effects on the calculations.

Contextual Notes

Participants note the importance of understanding the experimental circumstances, including the placement of the solid on the ice and the resulting final temperature of the system.

adam640
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Homework Statement



Find mi, the initial mass of ice.

Ti = -20
ci = 2093Jkg-1K-1
Ts = +35
ms = 2kg
cs = 837.4Jkg-1K-1
cw = 4187Jkg-1K-1
lf = 3.35x105Jkg-1

S = solid
W = water
I = ice
lf = latent heat of fusion of ice / water

Homework Equations


Q=mc\DeltaT
Q=C\DeltaT
Q=ml

The Attempt at a Solution


For the Solid
Qs = (2)(837.4)(10-35)
Qs = -4.187x104J

For the Water / Ice
Qi = mix(4.186x104)
Q = mix(3.35x105)
Qw = mix(4.187x104)

I don't know where to go from here, I have seen the markscheme however and I am aware that the answer is: mi = 0.100kg
 
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You've specified everything but the experimental circumstances. What are the initial and final conditions? Do you want to calculate the mass of ice remaining, or the initial mass of ice?
 
Oops, the Solid is placed on top of the ice. The ice then melts and the final temperature of both the solid and the ice is 10. So basically I'm looking for the initial mass of the ice, before the rock was placed onto it.
 
So, the final temperature is 10C. What does that tell you about the the water in the system?
 

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