An ice cube tray full of ice (125 g) at -5C is allowed to warm up to room temperature (22C). How much energy must be absorbed by the solid ice to reach this room temperature. For water: Heat of fusion = 334 J/g, Heat of vaporization = 2260 J/g, Heat capacity of solid water = 2.10 J/gC, Heat capacity of liquid water = 4.18J/gC.
NOTE: This problem is a three part problem. You must show all work
can someone solve this for me I have no idea how
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OpenStudy (anonymous):
help please
OpenStudy (caozeyuan):
I see why this is tricky
OpenStudy (caozeyuan):
you need to draw a phase transition diagram
OpenStudy (anonymous):
whats that
OpenStudy (anonymous):
how does that help?
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OpenStudy (caozeyuan):
sorry my x and y are reversed, making changes nows
OpenStudy (caozeyuan):
|dw:1454194487075:dw|
OpenStudy (caozeyuan):
different fomulae apply to temp increase and phase transtion
OpenStudy (caozeyuan):
we see 3 segments on this graph, 2 temp increase and 1 phase transition
OpenStudy (caozeyuan):
this is becuase the ice has to be at 0C before it melts and after it melted the temp has to increase to 22C
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OpenStudy (caozeyuan):
still with me?
OpenStudy (anonymous):
yes
OpenStudy (caozeyuan):
so do you know what fomula is for temp increase and what to use for phase transition
OpenStudy (anonymous):
no
OpenStudy (caozeyuan):
ok, so for temp increase we have Q=c*m*delta T
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OpenStudy (caozeyuan):
for phase transiton we have Q=Hf*m
OpenStudy (anonymous):
what would I plug in then
OpenStudy (caozeyuan):
so you don't know what the symbol means?
OpenStudy (caozeyuan):
more things for you to memorize then
OpenStudy (anonymous):
not really im really bad at this subject
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OpenStudy (caozeyuan):
Q is total heat absorbed, c is heat capacity, m is mass of matter. delta T is change in temp
OpenStudy (caozeyuan):
Hf is heat of fusion
OpenStudy (caozeyuan):
since we do not boil the water, heat of vap or Hv is irralavent here
OpenStudy (anonymous):
im still not sure on how this is to be sloved
OpenStudy (caozeyuan):
ok where are you stuck ?
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OpenStudy (anonymous):
at what to even plug in
OpenStudy (caozeyuan):
mass of water 125g, starting temp -5C, end temp 0C, heat capacty of ice 2.1 j*g^-1*C^-1
OpenStudy (caozeyuan):
correct?
OpenStudy (anonymous):
lost
OpenStudy (caozeyuan):
ok did you understand symbols on my equation?
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OpenStudy (anonymous):
yaa
OpenStudy (caozeyuan):
now, do you know the values of the variables, except for the one we want to calculate of cuse
OpenStudy (anonymous):
no
OpenStudy (caozeyuan):
mass of water is 125g rihgt?
OpenStudy (anonymous):
ya
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OpenStudy (caozeyuan):
heat capacity for ice is 2.1J/gC
OpenStudy (anonymous):
I still don't get what to do with these numbers
OpenStudy (caozeyuan):
you plug them in, obviously
OpenStudy (anonymous):
how
OpenStudy (caozeyuan):
for example in the first phase we have Q=mcdelta T
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OpenStudy (caozeyuan):
m is 125g, c is 2.1J/gC, delta T is 5C, NOT 27C
OpenStudy (caozeyuan):
so Q is?
OpenStudy (anonymous):
so I would do 125X2260/1
OpenStudy (caozeyuan):
No
OpenStudy (caozeyuan):
why would you use heat of vap when no vap happens
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OpenStudy (caozeyuan):
so ok, your problem is physics not math
OpenStudy (caozeyuan):
You need to understand when and where to use what
OpenStudy (anonymous):
Q is 1312.5
OpenStudy (caozeyuan):
great, but this is only phase I because we only bring the ice to 0C which is the mp
OpenStudy (caozeyuan):
so next step is to melt the ice
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OpenStudy (caozeyuan):
and what is the heat for this process?
OpenStudy (anonymous):
idk
OpenStudy (caozeyuan):
the equation is Q=m*Hf, you know m and Hf, so what is Q?
OpenStudy (anonymous):
whats hf
OpenStudy (caozeyuan):
Heat of fusion
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OpenStudy (caozeyuan):
I need to go cook dinner now, so stay here, I'll be right back
OpenStudy (caozeyuan):
I'm back, any idea?
OpenStudy (anonymous):
41750
OpenStudy (caozeyuan):
great, and phase 3?
OpenStudy (caozeyuan):
no hint this time
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OpenStudy (anonymous):
divide the two phases
OpenStudy (caozeyuan):
well, no but why would you say so?
OpenStudy (anonymous):
I don't know now at this point
OpenStudy (caozeyuan):
well phase 3 is the same process as phase 1 which is (), the equation for this process is (), the c in the eqaution stands for (), but not (). the value of c is () the change in temperature is () the heat absored during phase 3 is () the heat absorbed during the entire process ( phase1 and 2 and 3) is ().
OpenStudy (caozeyuan):
try fill in the blanks, I can give you hints if you stuck
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OpenStudy (anonymous):
so I X the two phases to get the 3 one
OpenStudy (caozeyuan):
no, I said try fill in the quiz I jsut give you, it will help you understand the ideas behind this question. it won't help you if I just told you the answer
OpenStudy (anonymous):
sorry computer acting up and alright im try get it