Write the equation used to determine the latent heat of fusion of ice in terms o
ID: 1708368 • Letter: W
Question
Write the equation used to determine the latent heat of fusion of ice in terms of the appropriate masses, temperature changes and specific heats (define all quantities) in an adiabatic process. Check the experiment for the items making up the system. Have the ice start off at 0°C. Keep the equation that you are writing in non-numerical terms. Starting at 0°C is telling you that you will have a term involving the latent heat of fusion and another term of warming to the equilibrium temperature. State in one sentence the basic principle of physics expressed by this equation.Explanation / Answer
This is a little hard without the experimental details. You have a mass of ice at zero C. To melt this ice at zero to form water at zero, requires heat equal to the mass of the ice times its latent heat of fusion. Once the ice melts the water heats up to the equilibrium temperature. The energy required for this step is equal to the mass of water times the specific heat capacity of water. Heat gained by the ice equals heat lost by the calorimeter. Mass of ice = Mi Latent (latent means hidden; we add heat to the ice, but we don't see a change in temperature. This tells us that something is going on at the molecular level; the ice crystal is breaking apart - or forming for fusion) heat of fusion of water = Lwi Specific heat capacity of water Cw Mass of Calorimeter = Mc Specific heat capacity of calorimeter Cc Starting temp of calorimeter T0c Final temp of everything Tf Mi(Lwi) + Mi(Cw)(Tf-0) = Mc(Cc)(Tf-T0c) You measured the mass of ice, starting and equilibrium temps, You have previously calculated Cc and you know its mass. You are given Cw, so you only have one unknown, Lwi The basic principle of physics expressed here is that energy is neither created or destroyed. If the ice melts and heats up, it is because the surrounding lost this same amount of energy. This is why we could set the two sides equal, which is what an equation is.
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