Chemistry Need help determining the correct equation

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The discussion centers on the correct application of the equation q=mcΔT for calculating heat transfer. The initial calculation is deemed incorrect due to an erroneous value for specific heat capacity (c). It emphasizes that solving problems requires a comprehensive understanding of the scenario rather than merely applying an equation. Two distinct processes are highlighted: the cooling of water and the melting of ice, each requiring separate considerations. Understanding these processes is crucial for accurately determining the amount of ice that can be melted by the heat released from the water.
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Homework Statement
How much ice in grams would have to melt to lower the temperature of 52.4 g of water from 50.0 ∘C to 0 ∘C? (Assume that the density of water is 1.0 g/mL.)
Relevant Equations
q=mc(change in T)
I thought it would be...
q=mc(change in T)
=52.4g(1.0C/gC)(50C)
= 2620 g

This is incorrect. Am I using the right equation?
 
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Your value of c is wrong. Fix it and you get the heat in J the ice has to absorb. That is not the amount of ice you need.
 
Solving problems is NOT about "using a correct equation". It is about understanding the problem and describing it mathematically.

There are two separate thing happening here: one is cooling water - how much heat does it give away?
Second is melting ice - how much ice will the heat given away by water melt?
 

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