0.0012 C3. A 100 gram piece of ice at 0 oC is added to 400 grams of water at 30 oC. Assuming the system is perfectlyinsulated, what will be its final temperature when the ice has all been melted?

Given data: The mass of the piece of ice is m1=100 g. The initial temperature of the ice piece is…

Answered: 0.0012 3. A 100 gram piece of ice at 0…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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0.0012 C
3. A 100 gram piece of ice at 0 oC is added to 400 grams of water at 30 oC. Assuming the system is perfectly
insulated, what will be its final temperature when the ice has all been melted?

Expert Solution

Step 1

Given data:

The mass of the piece of ice is m₁=100 g.
The initial temperature of the ice piece is T₁=0^oC.
The mass of the water is m₂=400 g.
The initial temperature of the water is T₂=30^oC.

The amount of heat energy gained by the ice's piece will be equal to the amount of heat energy loosed by the water because of the law of energy conservation.

The expression for the final temperature of the mixture when ice is completely melted can be calculated as,

$\begin{array}{rcl} E_{gain} & = & E_{loss} \\ m_{1} C_{1} (T_{f} - T_{1}) & = & m_{2} C_{2} (T_{2} - T_{f}) \end{array}$

Here, C₁ is specific heat capacity of ice having a standard value of 2100 J/kg^oC and C₂ is specific heat capacity of water having a standard value of 4200 J/kg^oC.

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