How Much Energy Is Needed to Convert Ice at -108°C to Water Vapor at 1108°C?

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Homework Help Overview

The problem involves calculating the energy required to convert 10.0 g of ice at -108°C to water vapor at 1108°C, using specific heats and heats of fusion and vaporization. The context is thermodynamics, specifically phase changes and energy calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the total energy required by summing the energy for heating, melting, and vaporizing the ice. Some participants question the accuracy of the specific heat values used and whether all necessary equations have been applied.

Discussion Status

The discussion is ongoing, with participants expressing differing levels of confidence in the calculations. Some suggest that there may be an error in the problem statement or the values provided, while others are exploring the calculations further without reaching a consensus.

Contextual Notes

There is mention of a multiple-choice format for the question, and the original poster notes that their calculated answer does not match any of the provided options, leading to further questioning of the problem's parameters.

zhen
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question:
How much energy in kilojoules is required to convert 10.0 g of ice at -108 to water vapor at 1108°C? Specific heats are 2.09 J/g K for both ice and water vapor, and 4.18 J/g K for liquid water. Heats of vaporization and fusion are 2260 and 335 J/g.

This is what I did:
10g*108C*2.09J/g K + 10g * 335J/g + 10g*100C * 4.18 J/g K + 10g * 2260 J/g + 1008C * 10g * 2.09 J/g K= 50434.4 J =50.43 kJ

This question is a multiple choice, and there is no such choice, so this answer must be wrong. Unfortunately, I really don't know what is wrong with that.

I only the total energy is equal to the heat required to change the -108c ice to 0 C; then plus the energy require to melt the ice and then so far and so on...
 
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Well, i find your answers convincing though I have not claculated exactly. yo have missed no equation.
 
vaishakh said:
Well, i find your answers convincing though I have not claculated exactly. yo have missed no equation.
I don't think I missed any equation,(maybe there are, but I really can not think of one), and there is no mistake in the calculation.
 
zhen said:
question:
(snip)2.09 J/g K for both ice and water vapor, (snip)

You'll want to "check" this value. Either the problem statement included incorrect information, or you've misread something somewhere.
 
Bystander said:
You'll want to "check" this value. Either the problem statement included incorrect information, or you've misread something somewhere.
i check it, there is nothing wrong.
so... i think there is something wrong in the question.
I choose the closest answer which is 30 somthing, and that is correct...
 

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