Calc 320g H2O Melting Ice @ 68°C

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To determine how much ice can be melted by 320 grams of water at 68°C, one must calculate the energy released as the water cools to 0°C using the formula Q = m*c*ΔT. The latent heat of fusion for ice (333.7 kJ/kg) is then applied to find the mass of ice that can be melted. The calculations show that approximately 0.273 kg of ice can be melted by the heat released from the water. This approach confirms the correct use of latent heat and specific heat in the calculations. Understanding these thermodynamic principles is essential for accurate results in phase change problems.
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How much ice could be melted by 320. grams of water at 68.0 degrees C?
Would I us mL + mcT=0 for the equation, and do the latent heat of ice for the first part and water for the second?
 
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One must determine the energy (heat) from the mass of water decreasing from 68°C to 0°C. Then determine what mass of ice would be transformed to water at 0°C.

Assuming that L in your equation is latent heat, and by T you mean change in temperature, you are correct.

The heat from the liquid, Q, is just the change in energy in the liquid, i.e. Q = \Delta\,H = m\,c\,\Delta\,T, where c is specific heat.
 
So it would be m(333.7kJ/kg)+(.320kg)(4.186kJ/kg*K)(-68.0K)=.273kg of ice Is this correct?
 
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