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Chemistry Forums for Students => High School Chemistry Forum => Topic started by: Frederick95 on March 07, 2008, 08:00:54 AM

Title: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 08:00:54 AM
Calculate the molar enthalpy of combustion of acetone, using the experimental evidence.

           Given:
           Mass (m) of water: 100.0 g
           Specific heat capacity(c) of aluminum: 0.91 J/ g degrees Celsius
           Mass (m) of aluminum can: 50.0 g
           Initial temperature (Ti) of calorimeter: 20.0 degrees Celsius
           Final temperature(Tf) of calorimeter: 25.0 degrees Celsius
           Mass (m) of acetone burned: 0.092 g

MY WORK IS AS FOLLOWS
           
           Required:
     Molar enthalpy of combustion of acetone?

     Analysis
           ΔT = tf - ti
           = 25.0 oC - 20.0 oC
           = 5.0 oC

           Q = mc DT
              = (100.0 g) (0.91 J/(goC)) (5.0 oC)
              = 455 J
           H = - Q = - 455 J = -0.455 kJ
     Number of moles (n) = (given mass (g))/(gram-formula mass)
                                    =


HOW DO I ACCOMPLISH THIS STEP?
THANKS AGAIN
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Borek on March 07, 2008, 08:35:07 AM
Stop starting new threads with the same information, if you have additional questions - reuse your old thread. This is final warning.
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: mo_1984 on March 07, 2008, 03:29:23 PM
i have the same rpoblem as fredrick listed. it is the EXACT same question he asked any1 plz help me how to do it.
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 03:55:05 PM

Dear Frederick95, Dear Mo_1984;

First Part:  ΔT is OK!

But Part 2:  Q = ….. is wrong!    It must be:  Q = QWater + QAl !!
(Remember: mWater is not equal mAl.)

Frederick95:  I think you know, since a short while, how to finish.

I hope it helps for both of you.


Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: mo_1984 on March 07, 2008, 04:14:43 PM
yea but if u r putting in the mass of alu then u have to add the heat capacity also???
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 04:20:02 PM

Dear Mo_1984;

You’re right!, –   cAl for Al, and cWater  for …. !

Good Luck!
                    ARGOS++
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: mo_1984 on March 07, 2008, 04:24:03 PM
so when using q= mct formula for m add alu and water masses and for c add heat capacity for both???
and r u sure abt this man because every time i ask some1 they are telling me different answers so i am soo confused.
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 04:42:18 PM
Can you show us an example of this Argos?

Please

Thank you for any further help
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 04:42:43 PM

Dear Mo_1984;

NO!,  –   I told you:  QTotal  = QWater + QAl !!
You need twice: Q = mcΔT !!!

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 04:48:09 PM
Dear Frederick95, Dear Mo_1984;

QTotal  = QWater + QAl   =  mWcWΔT + mAlcAlΔT.

I hope I have been of help to you.

Good Luck!
                    ARGOS++
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 04:48:58 PM
Thank you Argos:)
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 04:57:11 PM
Argos, do you have a link to any website that explains this formula?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 05:11:40 PM

Dear Frederick95;

Not at the moment, -  but think about: 

At begin both (Water and Calorimeter, build from Al) have the Temperature Ti.
After burning the Acetone both must have the identical Temperature Tf.
Conclusion:
    Both must have taken enough Heat corresponding to their individual Mass m and individual  c!

That’s all.             You have to make you “A Picture” (see below).


Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 05:21:31 PM

Dear Frederick95, Dear Mo_1984;

Two (of a Lot) Links that may help a bit:
"Calorimetry (http://en.wikipedia.org/wiki/Calorimetry)”      "Calorimeter (http://en.wikipedia.org/wiki/Calorimeter)”

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 05:28:06 PM
Argos -----Thanks ;)

But.. My sum is 2317.5 kJ

I must find the molar enthalpy.

Is there a formula for this? I cannot find it:(

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 05:34:05 PM
Dear Frederick95;

I got quite close the same, if , if I divide YOUR result by 1000!, but for how many Moles Acetone, and that’s how many Grams?

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 05:40:58 PM
I got 0.0015 mol C3H6O(acetone) as an answer. But what to do with this?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 05:46:38 PM

Dear Frederick95;

You got Q, but you need Q per Mole, also Q / Mole!
(Use at least 2 figures more!! You can round your end result, - Not before!)


Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 05:51:46 PM
AHA!! SO....

2317.5 / 0.0015 mol C3H6O

= 1545000 J?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 05:59:07 PM

Dear Frederick95;

NO!,  –   I told you:  Use at least 2 figures more!!

That will give you:  H =  - 1462.6  kJoules / mole for Acetone.

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 06:01:08 PM
1462.6  kJoules?

But why not 2317.5 kJ?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 06:03:28 PM

Dear Frederick95;

Why should it?

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 06:05:16 PM
Because 2317.5 kJ is the value we got for q

1462.5 does not = q
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 06:17:32 PM

Dear Frederick95;

Please read correct:   H- 1462.6  kJoules / mole for Acetone.
(That's a little more precise = 2.320 kJoules / 0.001586 moles.)

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 06:30:25 PM
OHHHH! :D


So Enthalpy = 2.320 kJoules / 0.001586 moles

Therefore Enthalpy(H) is 1462 kJ/mol?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 06:34:40 PM

Dear Frederick95;

Don’t miss the Sign, as you told in your Question!

Quote
      H = - Q = - 455 J = -0.455 kJ
     Number of moles (n) = (given mass (g))/(gram-formula mass)

Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 06:36:10 PM
Enthalpy -1462 kJ/mol (because it is exothermic)?
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 06:39:45 PM

Dear Frederick95;

Precisely!

Good Luck!
                    ARGOS++
Title: Re: molar enthalpy of combustion of acetone next step?
Post by: Frederick95 on March 07, 2008, 06:41:00 PM
THANK YOU ARGO YOU ARE THE BEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :) :) :) :) :) :) ;D ;D ;D ;D :D :D :D :D :D

I will not forget you!!!:):)

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 07, 2008, 06:46:32 PM

Dear Frederick95;

You’re welcome!   ─   Soon (but not toooo soon!) again.


Good Luck!
                    ARGOS++

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: mo_1984 on March 07, 2008, 10:16:01 PM
i am so lost plz check if this is right and if not help me fix it. PLZ PLZ PLZ


1)  Using the table of standard enthalpies of formation, I calculated the theoretical value for the molar enthalpy of combustion of acetone by:
Writing a balanced equation: C3H6O (l) + 4O2 (g) --> 3CO2 (g) + 3H2O (l)

Then each compound, I wrote out the enthalpy of formation.
     
                C3H6O (l) + 4O2 (g) --> 3CO2 (g) + 3H2O (l)
                      -248.1       0.0           -393.5       -285.8

After I put these enthalpy values into the equation and now I used the number of moles to find the theoretical value:

        ∆H = ∑n ∆H°f(prod.) - ∑n ∆H°f(react.)
 
                     = [3(-393.5) + 3(-285.8] – [(-248.1) + 4(0.0)] kJ/mol
                     = [-2037.9 – (-248.1)] kJ/mol
                     = -1789.8 kJ/mol
2) Calculate the molar enthalpy of combustion of acetone, using the experimental evidence.
∆T = t2 – t1
     = 25.0oC – 20.0oC
     = 5.0oC

QTotal  = QWater + QAl   =  mWcWΔT + mAlcAlΔT
   = (100.0g)(4.18J/(g*oC)(5 oC) + (100.0g)(0.91 /(g*oC)(5 oC)
      = 2090J + 455J
   = 2545 J
Molar Mass of Acetone:
C3H6O
   C3 = 3 X 12 = 36
   H6 = 6 X 1 = 6
   O = 1X 16 = 16
      = 58 g/mol
Moles = Mass / molar mass
      = 0.092g / 58g/mol
      = 1.59 X 10-3 mol
H = - Q
    = -2545J (it’s an exothermic reaction therefore it needs to have a negative value to get the correct percent error/enthalpy change)
n ∆H°f = ∆H
∆H°f = ∆H/ n
∆H°f = -2545J / 1.59 X 10-3 mol
         = -1600.63 kJ/ mol
3) Calculate the percentage error for this experiment.
Error % = [the accepted answer - your observed answer] / the accepted answer (then multiply by 100)
   = [(-1789.8kJ/mol) - (-1600.63kJ/mol)] / (-1789.8kJ/mol) X 100%
   = 10.6%

Title: Re: molar enthalpy of combustion of acetone next step?
Post by: ARGOS++ on March 08, 2008, 11:00:12 AM

Dear Mo_1984;                 

Question 1Well done!

Question 2Frederick95 and I got a different value as you may see above!
                  You did Reply # 9 not correct!  ( mAl ).
                  You did also same Mistake as Frederick95 first: Tooo less significant figures!

Question 3:  Needs to be recalculated, because Question 2!


Good Luck!
                    ARGOS++