How many joules of heat are required to melt 40kg of ice at 0 degrees celsious?

Note that Celsius is the correct spelling.

q = mass x heat fusion.
Look up the heat of fusion for ice (in joules/g). You have the mass. Calculate q, the heat required to melt the ice. Be careful that specific heat you use doesn't conflict with the units for mass.

The heat of fusion of ice is 4180 J/kg.

Multiply that by the mass that is melting

To calculate the amount of heat required to melt a given amount of ice at 0 degrees Celsius, we need to use the specific heat capacity and the heat of fusion of ice.

1. Determine the specific heat capacity of ice: The specific heat capacity (c) of ice is the amount of heat required to raise the temperature of 1 gram of ice by 1 degree Celsius. The specific heat capacity of ice is approximately 2.09 J/g°C.

2. Calculate the heat required to raise the temperature of the ice to 0 degrees Celsius:
Since we need to melt the ice at 0 degrees Celsius, we don't need to raise its temperature. Therefore, no heat is required for this step.

3. Calculate the heat of fusion of ice: The heat of fusion (ΔHf) is the amount of heat required to convert 1 gram of ice at 0 degrees Celsius into 1 gram of water at 0 degrees Celsius. The heat of fusion of ice is approximately 334 J/g.

4. Calculate the total heat required to melt the ice:
The total heat required to melt the ice can be calculated using the formula:

Heat required = Mass of ice (in grams) x Heat of fusion

Let's convert the mass of ice from kilograms to grams:
40 kg = 40,000 grams.

Heat required = 40,000 g x 334 J/g
Heat required = 13,360,000 J

Therefore, 13,360,000 joules (J) of heat are required to melt 40 kg of ice at 0 degrees Celsius.