Final answer:
The correct equation to calculate the heat when ice melts into water is q = m∆Hf, involving the mass of ice and the enthalpy of fusion, which represents the heat needed to melt ice at 0.0°C into liquid water.
Step-by-step explanation:
The correct equation to calculate the heat (q) of the reaction when ice melts into water is q = m∆Hf, where m is the mass of the ice, and ∆Hf is the enthalpy of fusion, the amount of heat needed to convert ice at its melting point to liquid water without changing its temperature.
This phenomenon is also known as the heat of fusion. While the general equation q = mC∆T is used for calculating heat transfer associated with temperature changes, in the case of melting ice the temperature remains constant at 0.0°C and thus, C∆T (specific heat times temperature change) is not involved. Instead, the enthalpy of fusion is used to represent the heat required to change the state from solid to liquid at constant temperature.