Applying Standard Enthalpy of Fusion towards Finding the Final Temperature

[lapalla]

Why is it that when we are calculating final temperature of a system consisting of ice and water, we must multiply the standard enthalpy of fusion by the moles of ice? Why do we have to add this product to the heat flow of ice?

[WPING1A]

You must add the product because it is needed to calculate the energy required to melt the ice. You then add this to the heat flow of the ice as it will add up to the total energy needed to heat the ice to final temperature, which would be equivalent to the temperature as the water cools down.

[nyireess]

When calculating the final temperature during the phase change of ice to water, the multiplication of the standard enthalpy of fusion by the moles of ice accounts for the energy required for the phase transition. Adding this product to the heat flow of the ice ensures a comprehensive calculation that considers both temperature change and the specific energy associated with the transition from solid to liquid.