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Determining the Latent Heat of Fusion of Ice: Experimental Procedure and Calculation, Study Guides, Projects, Research of Physics

An experiment to determine the latent heat of fusion of ice using the method of mixtures. The theoretical background, equipment list, and step-by-step experimental procedure. The goal is to measure the mass of ice, the initial and final temperatures of the water, and calculate the latent heat of fusion using the given equation.

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2021/2022

Uploaded on 09/27/2022

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19c Latent Heat of Fusion - 1 -
Latent Heat of Fusion
Introduction
The purpose of this lab is to determine the Latent Heat of Fusion of ice. In this
experiment the heat of fusion of ice will be determined by using the method of mixtures
(Quantity of heat lost = Quantity of heat gained).
Equipment
Computer w/ Logger Pro SW Triple Beam Balance Water
Calorimeter Digital Scale
Digital Themometer Ice
Theory
When a solid has reached its melting point, additional heating melts the solid without a
temperature change. The temperature will remain constant at the melting point until ALL
of the solid has melted. The amount of heat needed to melt the solid depends only on the
mass of the solid. We have:
Q = MLf Eq. 1
where Q is the amount of heat absorbed by the solid, M is the mass of the solid and Lf is
the latent heat of fusion measured in cal/g (to fuse means to melt). Ice will be added to a
calorimeter containing warm water. The heat energy lost by the water and calorimeter
does two things:
1. It melts the ice;
2. It warms the water formed by the melting ice from zero to the final temperature.
Heat lost = Heat gained
Heat lost by warn water = heat needed to melt ice + heat needed to warm water which was once ice
MwCw (Tw - Tf) = MiceLf + MiceCw (Tf - 0) Eq. 2.
* Note: The mass of the melted water is the same as the mass of the ice.
where Mw = mass of warm water initially in calorimeter
Mice = mass of ice and water from melting
Cw = specific heat of water
Lf = heat of fusion of ice
Tw = initial temperature water
Tf = equilibrium temperature of mixture
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Latent Heat of Fusion

Introduction The purpose of this lab is to determine the Latent Heat of Fusion of ice. In this experiment the heat of fusion of ice will be determined by using the method of mixtures (Quantity of heat lost = Quantity of heat gained).

Equipment

Computer w/ Logger Pro SW Triple Beam Balance Water Calorimeter Digital Scale Digital Themometer Ice

Theory When a solid has reached its melting point, additional heating melts the solid without a temperature change. The temperature will remain constant at the melting point until ALL of the solid has melted. The amount of heat needed to melt the solid depends only on the mass of the solid. We have:

Q = MLf Eq. 1

where Q is the amount of heat absorbed by the solid, M is the mass of the solid and Lf is the latent heat of fusion measured in cal/g (to fuse means to melt). Ice will be added to a calorimeter containing warm water. The heat energy lost by the water and calorimeter does two things:

  1. It melts the ice;
  2. It warms the water formed by the melting ice from zero to the final temperature.

Heat lost = Heat gained

Heat lost by warn water = heat needed to melt ice + heat needed to warm water which was once ice

MwCw (Tw - Tf) = MiceLf + MiceCw (Tf - 0) Eq. 2.

  • Note: The mass of the melted water is the same as the mass of the ice.

where Mw = mass of warm water initially in calorimeter

Mice = mass of ice and water from melting Cw = specific heat of water Lf = heat of fusion of ice Tw = initial temperature water Tf = equilibrium temperature of mixture

Experimental Procedure:

  1. Using the digital scale or the triple beam balance determine the mass of the empty calorimeter cup Mc. Record the value in the Data Section below.
  2. Fill the calorimeter cup to about half full with warm water. The water temperature should be between 5o-10o^ above room temp. (Room temp ~20oC.)
  3. Determine the mass of the calorimeter cup and water Mcw. Record the values in the Data Section.
  4. Calculate the mass of the added water, Mw. Record the values in the Data Section.
  5. Measure and record the initial temperature of the water, Tw.
  6. Dry several small pieces of ice with a paper towel to remove any adhering water. We want to add ice and not the liquid water on the ice.
  7. Add the pieces of ice to the calorimeter and keep adding ice periodically until the temperature of the mixture is between 5o^ and 10o^ C below room temperature. Keep the mixture well stirred.
  8. When all the ice has melted, measure and record the equilibrium temperature ( Tf ).
  9. Measure and record the combined mass of the calorimeter cup and water, which now includes water from the melted ice Mcwi****.
  10. Calculate and record the mass of the ice, Mice = Mcwi. - Mcw

Data

  1. Mass of empty calorimeter cup ( Mc ) __________ g
  2. Mass of calorimeter cup and warm water ( Mcw ) __________ g
  3. Mass of warm water ( Mw = Mcw - Mc ) __________ g
  4. Mass of calorimeter cup and water (after ice melts) ( Mcwi .) __________ g

5. Mass of ice added ( Mice = Mcwi - Mcw ) __________ g

  1. Initial temperature of warm water ( Tw ) _________ oC
  2. Final temperature of water and melted ice ( Tf ) __________ oC
    1. Specific Heat of Water ( Cw ) 1.00 cal/(g oC)