Final temperature of the liquid water?

AI Thread Summary
To determine the final temperature of a 10-kg block of ice initially at -12°C after absorbing 4.15 x 10^6 J of heat, an energy balance approach is required. The heat absorbed must account for both the temperature change from -12°C to 0°C and the phase change from ice to water, using the equations Q=mcΔT for heating and Q=mL for melting. The correct setup involves calculating the heat needed to raise the temperature of the ice to 0°C and the heat required for the phase change, then summing these to equal the total heat absorbed. The user initially struggled with the calculations but ultimately understood the need to consider both the melting of the ice and the warming of the resulting water. The discussion concludes with the user expressing gratitude for the clarification received.
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Homework Statement


A 10-kg block of ice has a temperature of -12°C. The pressure is one atmosphere. The block absorbs 4.15 106J of heat. What is the final temperature of the liquid water?



Homework Equations


Q=mcT



The Attempt at a Solution


i know i have to find the change from -12 to 0 deg c and then use mLfusion for the ice and add them. i am lost after that. i keep getting the wrong answer. how do i do this?
 
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name_ask17 said:

The Attempt at a Solution


i know i have to find the change from -12 to 0 deg c and then use mLfusion for the ice and add them. i am lost after that. i keep getting the wrong answer. how do i do this?

You'll need to do an energy balance.

Heat absorbed = heat to change phase of the ice + heat to increase the temperature from -12 to T.

you know that heat to change phase of the ice=mLfusion and the heat to increase the temperature = mc(T2-T1).
 


so would i do Q=mcT+mL as 4.15E6=(10)(4186)(T-12)+(10)(334)? because that is not giving me the correct answer. can you please explain to me what I am doing wrong here?
 


dont bother. i undersand it now. i was to take the heat gained to ive, ice melting, and water warming up. thank you for your assistance
 
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