In: Physics
how much heat is necessary to change 450g of ice at -11 degrees c to water at 20 degrees Celsius?
The heat Q required to change the temperature of a substance of mass m from Ti to Tf is
where C is the specific heat of the substance.
Consider the process in three steps:
1. Increase in temperature of ice from -11oC to 0oC.
2. Change in phase of ice (solid) to water (liquid) at 0oC.
3. Increase in temperature of water (liquid) from 0oC to 20oC
The heat required in the first step is
where Cice is the specific heat of the ice
The heat required in the second step is
where Lfusion is the latent heat of fusion of water.
The heat required in the third step is
Total heat required is
Substituting , , , we get