how much heat is required to melt an ice cube that is 4.2 cm x 2.1 cm x 2.9 cm? The density of ice is 0.92 g/cm3
To find out the amount of heat required to melt an ice cube, we need to know the mass of the ice cube and the heat of fusion of ice.
First, let's calculate the volume of the ice cube using its dimensions. The volume can be found by multiplying the length, width, and height:
Volume = length x width x height
Volume = 4.2 cm x 2.1 cm x 2.9 cm
Now, substitute the given values to calculate the volume:
Volume = 20.286 cm³
Since the density of ice is 0.92 g/cm³, we can now calculate the mass of the ice cube:
Mass = Density x Volume
Mass = 0.92 g/cm³ x 20.286 cm³
Now, calculate the mass:
Mass = 18.676 g
The heat of fusion of ice is the amount of heat required to melt 1 gram of ice at its melting point. The heat of fusion of ice is approximately 334 J/g.
Finally, we can calculate the amount of heat required to melt the ice cube:
Heat = Mass x Heat of Fusion
Heat = 18.676 g x 334 J/g
Now, calculate the heat required:
Heat = 6,228.184 J
So, approximately 6,228.184 Joules of heat is required to melt the given ice cube.