Question

n ice cube of mass 0.039 kg and temperature -11 c is heated until it is now fully melted and at a temperature of 11c now. what percentage of the total energy was used to melt the ice? (assume that there is no heat exchange with any container or the environment.) the specific heat of ice is 2200 j/kg c and the specific heat of water is 4186 j/kg c. the latent heat of fusion of ice is 334000 j/kg .

Answer 1

To find the percentage of the total energy used to melt the ice, calculate the total energy used by adding the energy required to raise the temperature of the ice, the energy required to melt the ice, and the energy required to raise the temperature of the water. Then, divide the energy required to melt the ice by the total energy used and multiply by 100%.

Step-by-step explanation:

To calculate the percentage of the total energy used to melt the ice, we need to calculate the total energy used. First, we calculate the energy required to raise the temperature of the ice from -11°C to 0°C using the specific heat capacity of ice. Then, we calculate the energy required to melt the ice using the latent heat of fusion of ice. Finally, we calculate the energy required to raise the temperature of the water from 0°C to 11°C using the specific heat capacity of water.

Using the given data:

Energy to raise the temperature of the ice = (mass of ice) * (specific heat capacity of ice) * (temperature change)

Energy to melt the ice = (mass of ice) * (latent heat of fusion of ice)

Energy to raise the temperature of the water = (mass of water) * (specific heat capacity of water) * (temperature change)

The total energy used is the sum of these three energies. The percentage of the total energy used to melt the ice can be calculated using the formula: (energy to melt the ice / total energy used) * 100%.