Tutorial #2 Solutions

Note: not everyone had the same questions, so you might see questions here you did not do

5-76
note: "DMH" = dimethylhydrazine

moles of N2 = (150 g DMH) (1 mol DMH / 60.12 g DMH) (3 mol N2 / 1 mol DMH) = 7.5 mol
pressure of N2 = nRT / V = (7.5 mol)(0.08206 atm L mol-1 K-1)(300. K) / (250 L) = 0.74 atm

moles of H2O = (150 g DMH) (1 mol DMH / 60.12 g DMH) (4 mol H2O / 1 mol DMH) = 10. mol
pressure of H2O = nRT / V = (1.0 mol)(0.08206 atm L mol-1 K-1)(300. K) / (250 L) = 0.98 atm

moles CO2 = (150 g DMH) (1 mol DMH / 60.12 g DMH) (2 mol CO2 / 1 mol DMH) = 5.0 mol
pressure of CO2 = nRT / V = (5.0 mol)(0.08206 atm L mol-1 K-1)(300. K) / (250 L) = 0.49 atm

total pressure = 0.74+0.98+0.49 atm = 2.2 atm
 

5-86
(rate1) (MM11/2) = (rate2) (MM21/2)

MMunknown = [(ratemethane) (MMmethane1/2) / (rateunknown)]2
= [(47.8 mL/min)(16.05 g/mol)1/2 / (24.0 mL/min)]2 = 63.7 g/mol
 

5-88
(rate1) (MM11/2) = (rate2) (MM21/2)

(ratechlorine)  = (rateHe) (MMHe1/2) / (MMchlorine1/2)
 = (1.0 L/4.5 min) (4.00 g/mol)1/2 / (70.90 g/mol)1/2 = 0.528 L/min

Therefore, it would take 1.0 L / (0.528 L/min) = 19 min for chlorine to effuse under the same conditions
 

6-38
(a)  if 1 mol of methane releases -891 kJ, and 1.00 g of methane is 1.00 g / (16.05 g/mol) = 0.0623 mol
then heat released is -891 kJ/mol * 0.0623 mol = -55.5 kJ

(b) n = PV / RT = (740. torr) (1.00 x 103 L) / (62.364 L torr / K mol) (298 K) = 39.8 mol
heat released is -891 kJ/mol * 39.8 mol = -3.55 x 104 kJ 
 

6-52
assuming no heat loss from the calorimiter apparatus, then the heat capacity of the calorimeter is the same as that for the water added (also assuming the s for water and the solution is identical, and the mass of the solution is the mass of the solid and the solvent),

Cp = (75.0 g + 1.60 g) (4.18 J / oC.g) = 320. J / oC
[delta]H = CP [delta]T = (320. J / oC) / (25.00 - 23.34 oC) = 532 J
n = 1.60 g / (80.05 g/mol) = 0.0200 mol
therefore, [delta]H = 520. J / 0.0200 mol = 2.66 x 104 J/mol = 26.6 kJ/mol
 

6-62
I have labelled the 4 equations 1 - 4 to avoid re-writing them over and over.

Eq. 1: reactant on left, can probably leave
Eq. 2: reverse to get reactant on left, [delta]H = +191.2 kJ
Eq. 3: leave (product in gaseous form on right)
Eq. 4: leave (product now switched to liquid form)

both 3 and 4 must be multiplied by 2.  This gives:
[delta]Hrxn = 177.4 + 191.2 + 2(-241.8) + 2(-43.8) kJ = -202.6 kJ
 

6-64
I have labelled the 4 equations 1 - 4 to avoid re-writing them over and over.

Eq. 1: ???
Eq. 2: reverse to get reactant on left, [delta]H = +2967.3 kJ
Eq. 3: reverse to get reactant on left, multiply by 6, [delta]H = 6(+84.2 kJ)
Eq. 4: leave (product on right), multiply by 10, [delta]H = 10(-285.7 kJ)

What do we do with Eq. 1?  It needs to be arranged to cancel out the unwanted part of equations 2-4, so let's add those equations together to see what we get:

Eq. 2 + 3 + 4:
P4O10 (s) + 6PCl5 (g) + 4 PCl3 (g)  ---> P4 (s) + 6 Cl2 (g) + 10 Cl3PO (g)
Therefore, to get rid of the substances we don't want, add Eq. 1 as is to get the correct reaction.

[delta]Hrxn = (-1225.6) + 2967.3 + 6(84.2) + 10(-285.7) = -610.1 kJ
 

6-72
[delta]Hrxn = [SUM][delta]Hproducts - [SUM][delta]Hreactants
= 12(-242) + 9(0) + 4(-393.5) - [5 (-20) + 4(54)] = -4594 kJ
 

8-56
I find it easiest to break every bond in the reactants and form every bond in the products

total bond energy on reactant side (Dreactants) = 3(C-H) + (C-O) + (O-H) + (C[triple]O)
= 3(413) + 358 + 467 + 1072 = 3136 kJ

total energy on product side (Dproduct) = 3(C-H) + (C-C) + (C-O) + (C=O) + (O-H)
= 3(413) + 347 + 358 + 745 + 467 = 3156 kJ

Therefore, according to equation (p. 352), [delta]H = [SUM]Dreactants - [SUM]Dproduct
= 3136-3156 = -20. kJ


 

Last updated, October 7, 2006
Page maintained by Craig MacKinnon