Specific Heat Problem and boiling water

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Homework Help Overview

The problem involves calculating the final temperature of boiling water after it is poured into an aluminum pan. The context includes specific heat capacities and mass of both the water and the pan, along with their initial temperatures.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the heat transfer equation to find the final temperature. Some participants question the interpretation of the temperature change and whether to subtract the final temperature from the initial boiling temperature.

Discussion Status

The discussion includes attempts to clarify the calculations and the interpretation of results. Some guidance has been offered regarding the understanding of temperature changes, but no explicit consensus has been reached on the approach.

Contextual Notes

Participants are navigating the application of the heat transfer equation and the implications of the final temperature in relation to the initial conditions of the water and the pan.

clutch12
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Homework Statement


140 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1100 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K).
After a short time, what is the temperature of the water?


Homework Equations


Q=mc delta t


The Attempt at a Solution



140g(4.2J/K/gram)(T-100) = 1100g(0.9 J/K/gram)(24-T)
588T-58800 = 23760 - 990 T
588T + 990 T = 23760 + 58800
1578 T = 82560
T= 52.319

Am I doing this right?
 
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Looks good to me, clutch.
 
Alright and when I am determining the temperature am i subtracting 100-52.319 or no?
 
No, 52.319 is the final answer. 100-52.319 would be the change in temperature of the water.
 
oh ok thanks for clearing that up
 

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