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How much energy does it take to heat a block of ice

by Runaway
Tags: energy, heat, latent heat, melting ice
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Runaway
#1
Jan31-11, 09:42 PM
P: 48
1. The problem statement, all variables and given/known data
How much energy is required to change a 35 g ice cube from ice at −15 C to steam at 117 C?
The specific heat of ice is 2090 J/kg * C, the specific heat of water is 4186 J/kg * C, the specific heat of stream is 2010 J/kg * C, the heat of fusion is 3.33 10^5 J/kg, and the heat of vaporization is 2.26 10^6 J/kg.
Answer in units of J.


2. Relevant equations

Q=m*L
Q=m*c*[tex]\Delta[/tex]T

3. The attempt at a solution
35g*15C*2090J/kg*C - heat to raise ice's temp. to freezing
+ 3.33 * 10^5 J/kg *35g - heat to melt ice into water
+ 100C *4186J/kg*C *35g - heat to raise water temperature to boiling
+ 2.26*10^6 J/kg* 35g - heat to boil water into vapor
+ 2010 J/kg*C *117C *35g - heat to make vapor rise to 117 C
=114734 J

I tried this answer and the program says it's incorrect, what am I doing wrong?
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gneill
#2
Jan31-11, 10:06 PM
Mentor
P: 11,626
The steam only has to rise 17C in temperature from 100C to 117C.
Runaway
#3
Feb1-11, 05:14 PM
P: 48
Thanks for your help... I completely missed that, I guess that's what I get for trying to do physics late at night. :)


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