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General : Lab Work
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(1 recommendation so far) Message 1 of 3 in Discussion 
From: MSN NicknameDevin1057  (Original Message)Sent: 2/3/2008 7:32 PM
if someone would please look this over and tell me what they think.


Determine the molecular weight of an unknown substance by measuring the freezing point depression of an aqueous solution of the unknown.

This assignment did not allow the use of a balance instrument allowed to measure and record mass of water or any of the unknown substances or water. Having trouble making conversion from volume to mass and the conversion from molality to molarity with information recorded from lab. Please show detailed step of conversions and calculation.

Information recorded from lab

Volume of deionized water in test tube: Recorded 10.00mL
Freeze point of deionized water: Recorded 0.00 degree C
Known value for Water Kf= 1.86 Deg C per molal

unknown #1

Added 2 gram of an unknown solid to test tube:
Recorded volume = 1.30 mL
Added 10.00 mL of deionized water to test tube:
Recorded dissolved volume = 11.62mL
Freeze point of unknown #1 solution: Recorded -2.06 degree C

unknown #2

Added 2 gram of an unknown solid to test tube:
Recorded volume = 0.92 mL
Added 10.00 mL of deionized water to test tube:
Recorded dissolved volume = 11.15mL
Recorded Freeze point of unknown #2 solution: -11.78 degree C



1. Record Delta Tf of:
(a) unknown #1 = 2.060C
(b) unknown #2 = 11.780C

2.For each unknown compound, record the mass of water, the mass of the unknown compound and the molality (based on the Delta Tf).
(a) unknown #1
Mass of water = 11.62 g
Mass of unknown = 2 g

ΔT = Kf m

so, m = ΔT/ Kf = 2.06 / 1.86 = 1.107 m

(b) unknown #2

Mass of water = 11.15 g
Mass of unknown = 2 g

ΔT = Kf m

so, m = ΔT/ Kf = 11.15 / 1.86 = 5.99 m


3.Calculate the molecular weight, MW, in g/mole for each unknown.
(a) unknown #1

molality = (mass of unknown/mass of solution x MW ) x 1000

so, MW = (mass of unknown/mass of solution x molality ) x 1000

= 2/(11.62 x 1.107) x 1000

= 155.48 gmol-1



(b) unknown #2


molality = (mass of unknown/mass of solution x MW ) x 1000

so, MW = (mass of unknown/mass of solution x molality ) x 1000

= 2/(11.15 x 5.99) x 1000

= 29.94 gmol-1

4.What effect would each of the following have on the calculated molecular weight of an unknown?
(Would the calculated molecular weight value be higher or lower than the actual value?)

Explain your answers for each part.

(a) Some of the unknown does not dissolve.

If some of the unknown is not dissolved in solution then there will be error in determining concentration i.e. molality of unknown in the solution which will give incorrect MW determination.

(b) The thermometer reads 0.63°C higher than it should over the whole temperature range.
If temperature reads 0.63 degree Celsius higher then it will affect the molality of unknown and hence molecular weight of unknown by a factor of 0.63.

(c) The test tube is not dry (and has water drops inside) before the solutions are made up.

If test tube is not dry then there will be change in concentration of the unknown and hence variation in the molecular weight.


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The number of members that recommended this message. 0 recommendations  Message 2 of 3 in Discussion 
Sent: 2/3/2008 9:09 PM
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(1 recommendation so far) Message 3 of 3 in Discussion 
From: MSN Nickname·Steve·Sent: 2/3/2008 9:17 PM
Ooops, reposting because I made a boo-boo with the mass of the water!
 
Hi, Devin, I'll look at your calculations for unknown #1.

I gather that the unknown is a solid and it weighs 2 g (I'll go with 2.00 g).  Since you could not use a balance, I assume that it was pre-weighed for the experiment.  I also don't know why you are given the volume of the solid unknown, 1.30 mL, because we do not need that for the molecular weight calculations.  It would not be accurate anyway if the solid is in particle or powder form with air taking up some of the volume.  Same with the total volume of the solution, 11.62 mL.  For the molecular weight calculation, we only need the mass of the solute, the mass of the solvent, and ΔTf.

>>  Mass of water = 11.62 g  <<

This is the volume of the solution (solvent + solute) which we don't need.  The mass of the water alone is about 10.0 g since the density of water is about 1 g/ mL.  If you had the temperature at which the volume of the water was measured, you could use a more exact density value and get a more accurate mass.  For example, at 25°C, the mass would be 10.00 mL  X  0.997044 g/mL  =  9.970 g.  (Earlier I divided instead of multiplying, wasn't watching my units!)

Your calculations of the molality and molecular weight are correct, except for the mass of the water.

Concerning the total volume of the solution, if you needed to determine the molarity of the solution, rather than the molality, you would need the total volume, 11.62 mL.  If you needed to calculate the osmotic pressure of the solution, you would need the molarity for that.  Other than for something like that, the total volume of the solution is not needed.
 

(a)  They want to know specifically if the calculated MW will be too high or too low if all of the unknown does not dissolve.  Hint:  What will happen to ΔTf if less solute is dissolved in the solution?  From that, tell what the effect would be on the MW.

(b)  ΔTf is determined from the difference between the freezing point of the pure solvent and that of the solution.  For #1, this was 0.00°C �?(�?.06°C) = 2.06°C.  Try adding 0.63° to each value and taking the difference again. 

(c)  That is right, the actual molality will be different from what you think it is.  Will the molality really be higher or lower because of the extra water in the tube?  In turn, what will this do to ΔTf, and in turn what will that do to your calculated MW?
 

Steve