Calculating Final Temp of a mixture

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To calculate the final temperature of a mixture of ice and water, one must consider the heat transfer between the two substances. The specific heat capacities of ice and water, along with the enthalpy of fusion for ice, are crucial for solving the problem. The heat gained by the ice as it warms and melts must equal the heat lost by the water as it cools. Without access to the textbook, the individual is seeking guidance on the appropriate equations and methods to approach the calculation. Accurate application of thermodynamic principles will lead to the final temperature of the mixture.
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Homework Statement


A 22.0 g sample of ice at -12.0°C is mixed with 120.0 g of water at 86.0°C. Calculate the final temperature of the mixture assuming no heat loss to the surroundings. The heat capacities of H2O(s) and H2O(l) are 2.08 and 4.18 J/g°C, respectively, and the enthalpy of fusion for ice is 6.02 kJ/mol


Homework Equations


I am not at home and don't have my book and the homework is due at 6:30 tonight so I can't figure out how to do this.


The Attempt at a Solution


I have no idea what equations to use to even try an attempt. Please Help.
 
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