Thermodynamics - Calculate the initial temperature of the iron.

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Homework Help Overview

The problem involves calculating the initial temperature of hot iron rivets after they are transferred to water in a calorimeter. The scenario includes specific masses and heat capacities, as well as a final temperature and mass loss due to steam. The context is thermodynamics, specifically heat transfer and calorimetry.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the heat lost by the iron and the heat gained by the water and calorimeter, questioning how to incorporate all elements into their calculations. There is confusion regarding the relevance of the calorimeter's mass and specific heat capacity, as well as the correct values to use in their equations.

Discussion Status

Some participants have provided guidance on the relationships between heat lost and gained, while others express uncertainty about how to apply the given data. Multiple interpretations of the problem are being explored, particularly regarding the equations and values to use.

Contextual Notes

Participants note the complexity of the data provided and express a desire for clarification on how to approach the problem without receiving direct answers. There is mention of specific heat capacities and the latent heat of vaporization, which may influence the calculations.

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Homework Statement



A 100g of hot iron rivets is heated to some temperature and then quickly transferred to 120g of water at 40°C in a copper calorimeter of mass 50g and specific heat capacity of 400J/(kg.°C).It is found that the final temperature of the mixture is 100°C and the water has lost20% of its mass to steam. If the iron has a heat capacity of 460 J/(kg.°C), calculate the initial temperature of the iron. (The latent heat of vapour is 2.26 m/kg)


Homework Equations



E= M x C x ∆T and E = M x L Are these the equations I am supposed to use?

The Attempt at a Solution



I don’t want an answer to this. There is lot of data in this question which is confusing me. Can anyone please break the question down for me into simpler form? Thank you
 
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Heat lost by iron = heat gained by warming the water + heat used to make steam
 
Delphi51 said:
Heat lost by iron = heat gained by warming the water + heat used to make steam

Thank you Delphi51. :) I really appreciate your help. In the question they have given mass and heat capacity of copper calorimeter. I don't know what I need that information for and what I am supposed to work out first. :confused: Confused.com
I really want to work thisout myself but I am not gettin anywhere with this.
 
I missed that! Good catch.

Heat lost by iron = heat gained by water + heat gained by calorimeter + heat used to make steam
 
Delphi51 said:
I missed that! Good catch.

Heat lost by iron = heat gained by water + heat gained by calorimeter + heat used to make steam

Thank you so much. I know how to work it out now. This is going to be the last question (hopefully)
In the question it says iron quickly tranferred to water at 40°C in a calorimeter of mass 50g...
I will be using E=MxCxΔT for heat gained by water and calorimeter and add them together. Do I use that 40°C in this equation for both of them?
Like 120x4.2x(100-40) for water and 50x400x(100-40) for the container?
 
Yes, the 100-40 looks good for both. 4.2 for the heat capacity does not look right. I seem to remember 4200. Better check it.
 

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