Final temperature of the liquid water?

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Homework Help Overview

The problem involves a 10-kg block of ice at -12°C absorbing heat to determine the final temperature of the resulting liquid water after phase changes and temperature increases. The context is thermodynamics, specifically focusing on heat transfer and phase changes of water.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the necessary calculations involving the change in temperature of the ice, the heat required for melting, and the subsequent heating of the water. There are attempts to set up energy balance equations, and some participants express confusion about their calculations and the correct application of formulas.

Discussion Status

Some participants are actively working through the problem, attempting to set up the correct equations for energy balance. One participant indicates a misunderstanding in their approach but later expresses that they have gained clarity on the necessary steps involved in the calculations.

Contextual Notes

There is mention of specific heat capacities and latent heat values relevant to the problem, but the discussion also highlights the participants' struggles with the calculations and the need for clarification on the correct application of these concepts.

name_ask17
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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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