Thermochemical equation.....
Calculate the calories required to convert 84.2g of H2O(s) at 0.0 degrees C to H2O(g) at 100 degrees C.
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OpenStudy (mertsj):
How many degrees do we want to raise the water?
OpenStudy (osuxbucks15):
100?
OpenStudy (mertsj):
how many grams do we want to heat?
OpenStudy (osuxbucks15):
84.2g
OpenStudy (mertsj):
How many calories does it take to raise 1 g of water 1 degree?
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OpenStudy (osuxbucks15):
is it 4?
OpenStudy (mertsj):
What is the definition of a calorie?
OpenStudy (osuxbucks15):
ummm, Im not sure, i no it equals 4.18 J if we need that for this?
OpenStudy (osuxbucks15):
Either of two units of heat energy.
OpenStudy (osuxbucks15):
84.2g x 100 x 4/ 18?
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OpenStudy (anonymous):
there are two things involved here
1) raise temperature of water from 0 to 100 degrees -> use the specific heat for water
2) convert liquid water at 100deg to gas at 100deg -> use latent heat of vaporization
OpenStudy (anonymous):
total heat = sum of heat for both the steps
OpenStudy (anonymous):
wait.. another one
step 0) convert SOLID water at 0 to liquid water at 0 -> latent heat of fusion
OpenStudy (anonymous):
total heat = sum of all three heats
OpenStudy (osuxbucks15):
336.8/ 84.2g x 100 for step 1 = .04
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OpenStudy (anonymous):
start with step 0
OpenStudy (osuxbucks15):
ok
OpenStudy (anonymous):
us the equation button below so I can understand.
OpenStudy (osuxbucks15):
o ok never saw that before, and im not sure how to do step 0
OpenStudy (anonymous):
same exact thing like step 2 just a different value for Lf
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OpenStudy (osuxbucks15):
can u give me the equation, and ill plug in the numbers, because i dont know the equation
OpenStudy (anonymous):
\[Q_0=mL_f=84.2{\rm g}\times L_f\]
Lf is the latent heat of fusion.. should be in a table in your book
OpenStudy (osuxbucks15):
506.0?
OpenStudy (osuxbucks15):
84.2 x 6.01
OpenStudy (anonymous):
you cannot solve without the unitz
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OpenStudy (anonymous):
84.2 g
6.01 what?
OpenStudy (osuxbucks15):
84.2g x 6.01 H2O
OpenStudy (osuxbucks15):
\[H _{2}O\]
OpenStudy (anonymous):
H2O is the chemical formula for water.
It is not a unit for a physical quantity
units are like.. grams for mass, second for time, calori or joule for heat, etc..
OpenStudy (anonymous):
you are looking for the latent heat of fusion.
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OpenStudy (anonymous):
i.e., the amount of heat required to convert 1g of ice to water.
OpenStudy (osuxbucks15):
delta H\[_{fus}\] (KJ/mol) = H2O 6.01
OpenStudy (anonymous):
that is the latent heat of fution for ice or water.
OpenStudy (anonymous):
ok. so, this value is in moles
and the amount we have is in grams
so, first convert 84.2g to moles for water
OpenStudy (anonymous):
how mny moles of water do we have in 84.2g?
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OpenStudy (osuxbucks15):
84.2g x 6.01 x \[10^{23}\]
OpenStudy (osuxbucks15):
= 5.06 x \[10^{25}\]
OpenStudy (anonymous):
no
OpenStudy (anonymous):
1mole of water = 2(1)+16=18g
OpenStudy (osuxbucks15):
4.6 moles?
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OpenStudy (anonymous):
so, how many moles do we have in 84.2g?
OpenStudy (anonymous):
good
lets use 4.68
OpenStudy (osuxbucks15):
84.2/18= 4.7
OpenStudy (osuxbucks15):
o ok 4.68 works to
OpenStudy (anonymous):
now ou can multiply apples with apples.
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OpenStudy (osuxbucks15):
28.1
OpenStudy (anonymous):
\[Q_0=4.68{\rm mol}\times6.01{\rm kJ/mol}\]
=?
OpenStudy (anonymous):
28.1 what ?
joules,
kilo joules,
bananas,
calories,...?
OpenStudy (osuxbucks15):
28.1 KJ/mol
OpenStudy (anonymous):
we have to be careful or evrything will go waste
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OpenStudy (anonymous):
notice that the mol gets cancelled.
so,
\[Q_0=28.1kJ\]
OpenStudy (anonymous):
so, we apply this much heat and all that ice will turn to water
OpenStudy (anonymous):
now we heat the water up to 100deg
\[Q_1=mc\Delta T\]
OpenStudy (osuxbucks15):
not sure how to do that... 28.1KJ x 100 deg?
OpenStudy (anonymous):
m=84.2g
c=4.186J/g
delta T = 100-0=100
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OpenStudy (osuxbucks15):
35246.1 J/ Degrees C
OpenStudy (osuxbucks15):
g degrees C
OpenStudy (anonymous):
heat is just joules or KJ or cal or Kcal no more things with it.
so, \[Q_1=35246J=35.25kJ\]
since our first one was in KJ, we make all our heats to KJ
OpenStudy (anonymous):
now, the liquid water is ready to be turned to steam and blow up:)
OpenStudy (anonymous):
so, we do Latent Hat for Vaporization.
\[Q_3=mL_v\]
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OpenStudy (osuxbucks15):
4.68 x 40.7 Delta H vap ( KJ/mol)
OpenStudy (osuxbucks15):
4.68 moles
OpenStudy (osuxbucks15):
190.5KJ
OpenStudy (anonymous):
nice work
OpenStudy (anonymous):
I cannot verify the values for the latent heats but thats the steps to do this problem.
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OpenStudy (anonymous):
so, total heat for the reaction = sum of all the heats
\[Q=Q_0+Q_1+Q_2\]
OpenStudy (anonymous):
when you add, make sure they all have the same units. (in our case, it is kJ)
OpenStudy (anonymous):
the final heat will also be in kJ
OpenStudy (osuxbucks15):
what is latent heat?
OpenStudy (anonymous):
but I think the question asks for the value in calories... so do the necesary conversion
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OpenStudy (anonymous):
Latent heat is the amount of heat required to change the physical state of a unit mass of a subtance at a constant temperature.
OpenStudy (osuxbucks15):
so where would i find latent heat, in another table?
OpenStudy (anonymous):
like from solid to liquid at its melting point
or from liquid to solid at melting point
from liquid to gas at boiling point and backwards
OpenStudy (osuxbucks15):
what elements or things do i need to find them for?
OpenStudy (anonymous):
any element or compound that can change the states will have the corresponding latent heat
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OpenStudy (osuxbucks15):
ok, im sorry but im really confused right now
OpenStudy (anonymous):
what with?
OpenStudy (osuxbucks15):
i have no idea how to change latent heat or get it
OpenStudy (anonymous):
it will be provided to you in the test.
In homeworks, they expect you to use the textbook (as they usually have the values for common materials)
OpenStudy (anonymous):
you do not change latent heats. they are the properties of that material. you have to take it as given
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OpenStudy (osuxbucks15):
4.18 for water?
OpenStudy (anonymous):
4.18J/gC is the "specific heat for water"
OpenStudy (osuxbucks15):
Latent heat of melting - 334 kJ/kg
OpenStudy (osuxbucks15):
for water
OpenStudy (osuxbucks15):
its not negative the dash is like an equal sign
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OpenStudy (anonymous):
right.. units are different but representing the same quantity.
OpenStudy (osuxbucks15):
now what?
OpenStudy (anonymous):
did you add up the three heats??
OpenStudy (osuxbucks15):
what other heats do i need to find? for what elements would it be 190.5 and 32.25?
OpenStudy (anonymous):
???
are we still talking about this question or jumping out randomly?
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OpenStudy (osuxbucks15):
no thats what we got before, im not sure what i need to find the heat for now?
OpenStudy (anonymous):
ADD em up
OpenStudy (anonymous):
the three heats that we found
OpenStudy (osuxbucks15):
wait, im just wondering are those the heats?
OpenStudy (anonymous):
yes the "Q" is the symbol for heats
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