For the Latent Heat of Fusion , i remember this experiment.
Put 100g of ice in a beaker with a heater connected to a joulemeter.
Also, Put a thermometer inside the heater with its bulb touching the crushed ice.
Find how many joules are needed to just melt the ice without making it hotter.
100g = 0.1Kg
Say the reading is 'x' joules.
Therefore , x joules are required to melt 0.1 Kg of ice, thus 10x joules are required to melt 1 Kg of ice. Finally, Check if it agrees with the accepted value of 340 000 J/Kg.
Another and a more suitable way of finding the Latent Heat of Fusion is
Put Finely crushed ice inside a galss funnel and attach the funnel to a stand to hold it. The mass of the ice shud be known.
Inside the crushed ice, put a 40W heater , and have a beaker below the funnel to collect the water. Record the time for which the water is collected.
With all the values , calculate the latent heat of fusion using the formula 40 * Time = Latent heat * Mass of Ice.