Specific Latent Heat of Fusion
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Measuring Specific Latent Heat of Fusion of Ice

Objective

To enable the student to measure the specific latent heat of fusion of ice by an electric method

Theory

Specific latent heat of fusion is the amount of heat that is needed change 1 Kg of a substance in the solid state into the liquid state at the melting point.

When an electric heater is immersed in a ice, the electrical energy flowing in heater will be totally converted into heat energy in the ice.  From electricity, the electrical energy is given by E=Pt where "P" is the heater power in watts, "t" time in seconds and "E" electrical energy in joules.  From heat, we know that the heat gained by the ice is given by H=mc(T2-T1) where "H" is heat energy in joules, "m" ice mass in "Kg", "c" specific heat in "J/KgC", T1 ice initial temperature in degrees Celsius before heating, T2 is the ice temperature after heating in degree Celsius 

Assuming there no heat lost to the surroundings of the ice, we can say the heat energy gained by the ice is equal to the electrical energy.

Heat energy gained by ice=Electrical energy given by heater that is  Pt=mLf.  By solving for "Lf" we obtain  Lf=pt/m.  Thus from this equation we need the following data to measure the specific heat of the ice

  1. Electric heater power.  We can obtain this data from the specification of an electric heater
  2. Heating time: We need a stop-watch to measure the heating time
  3. Ice mass: we need a balance to measure ice that tuned into liquid
Tools
  1. Holding Container: to hold the ice 
  2. Collecting Container: to collect liquid.
  3. Ice: to measure its specific latent heat of fusion
  4. Lagging: to prevent heat from being lost to the surroundings
Equipment
  1. Electric heater or Kettle: to supply heat
  2. Stop-watch: to measure time interval during which heat is supplied to ice
  3. Balance: measure the mass of the ice that melted 
Precautions
  1. When heating the ice, immerse the heater completely in the ice
  2. Use lagging (heat insulators) to reduce heat loss to surroundings

Procedure and DATA

Method-I:
  1. Prepare all the needed tools and equipment
  2. Assemble the experiment as shown
  3. Place a quantity of ice in the funnel
  4. Place the electric heater in the melting ice packed in the funnel
  5. Switch on the heater and the stop-watch
  6. Collect the water from melting ice for several minutes
  7. Switch of the heater and the stop watch
  8. Record the time of the watch as "t"
  9. Find the mass of the collected water and record it as "m" 
  10. Evaluate the latent heat of fusion  from Lf=pt/m
  11. Calculate the average the three values obtained Lf
  Heater Power "P"   Watts  
  Collecting Container Mass "m1"   Kg  
Try Stop-Watch time

Mass of  Container+Liquid 

Liquid Mass Calculated
Lf
  t M2 m=M2-M1 Lf=pt/m
1        
2        
3        
     

Average 

 
Method-II:
  1. Prepare all the needed tools and equipment
  2. Assemble the experiment as shown
  3. Find the baker mass and record it as M1
  4. Read the heater power from its name plate and record it as "P"
  5. Place a quantity of ice in the funnel
  6. Place the electric heater in the melting ice packed in the funnel
  7. Switch on the heater and the stop-watch
  8. Collect the water from melting ice for several minutes
  9. Each five minutes record the time and the mass of water.  Record mass in M2 
  10. repeat step "7" for five times
  11. Evaluate the "liquid mass" in the fourth column
  12. Plot mass of water versus time
  13. Evaluate the slop from the graph
  14. Calculate the heat of fusion from m=(P/Lf) t where slop=P/ Lf
Heater Power (P)    
Baker Mass (M1)    
Try Time Mass of  Container+Liquid Liquid Mass
  t M2 m=M2-M1
1      
2      
3      
4      
5      
         
Analysis Questions
  1. What is the percentage error of your experiment? use %Error=(Actual-Experimental)/Actual
  2. If your experimental value is less than the actual value, then  explain why?
  3. If your experimental value is greater than the actual value, then  explain why?
  4. Name the objects that will gain heat other than the ice?
  5. Why did we use the electric heater rather than using Bunzen flame?
  6. Why does the heater should be completely immersed in the ice?
  7. Why should we the use the lagging?
 

For more information write: abumsamh@emirates.net.ae
Created SEP 1, 2000
Copyright © 2000
Designed by: R. K. Abu-Msameh
Last modified: January 05, 2001