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Exam 2 for Physical Chemistry - Fall 2007 | CHEM 341, Exams of Physical Chemistry

Material Type: Exam; Professor: Huang; Class: PHYSICAL CHEMISTRY; Subject: Chemistry; University: Jackson State University; Term: Fall 2007;

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

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CHEM 341, Fall 2007 Name:___________________
Exam 2
The value of the gas constant R is 0.0820574 L atm mol-1 K-1, 1.98721 cal mol-1 K-1, and
8.31447 J mol-1 K-1. The atomic molar mass of H is 1.0079 g/mol; for C it is 12.01 g/mol; for
O it is 16.00 g/mol. 1 atm = 760 Torr; 1 dm3 = 1 L; 1 L = 1000 cm3; 1 m3 = 1000 L. Answer all
questions and show your working. Write clearly. No credit will be given for illegible or
ambiguous work.
A. Multiple choice (30 points)
_____ (1) 250.0 g of hot coffee at 95.0 °C are placed in a 0.2000 kg mug at 20.0 °C. The specific
heat of the coffee is 4.00 J/g °C, while that of the mug is 0.80 J/g °C. Assuming no heat
is lost to the surroundings, what is the final temperature of the system: mug + coffee?
A) 61.7 °C
B) 117 °C
C) 76.0 °C
D) 84.7 °C
E) 57.5 °C
_____ (2) The complete combustion of propane, C3H8 (g), is represented by the equation:
C3H8 (g) + 5 O2 (g) 3 CO2 (g) + 4 H2O (l) Δc H° = -2220 kJ/mol
How much heat is evolved in the complete combustion of 20.0 L C3H8 (g) at STP?
A) 2486 kJ
B) 495 kJ
C) 994 kJ
D) 1007 kJ
E) 1981 kJ
_____ (3) Some “beetles” defend themselves by spraying hot quinine, C6H4O2 (l), at their enemies.
Calculate Δr H° for this reaction.:
C6H4(OH)2 (l) + H2O2 (l) C6H4O2 (l) + 2 H2O (l)
Given: C6H4(OH)2 (l) C6H4O2 (l) + H2 (g) Δr H° = 177 kJ/mol
The standard enthalpies of formation of H2O2 (l) and H2O (l) are -187.8 and -285.8
kJ/mol, respectively.
A) -561.6 kJ/mol
B) -384.2 kJ/mol
C) -206.8 kJ/mol
D) +79.00 kJ/mol
E) none of these
_____ (4) Calculate Δf H° of octane, C8H18 (l), given the enthalpy of combustion of octane to CO2
(g) and H2O (l), -5471 kJ/mol, and the standard enthalpies of formation of CO2 (g) and
H2O (l), -393.5 kJ/mol and -285.8 kJ/mol, respectively.
A) +4792 kJ/mol
B) -249.2 kJ/mol
C) +249.2 kJ/mol
D) -4792 kJ/mol
E) none of these
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CHEM 341, Fall 2007 Name:___________________ Exam 2

The value of the gas constant R is 0.0820574 L atm mol-1^ K-1, 1.98721 cal mol-1^ K-1, and 8.31447 J mol-1^ K-1. The atomic molar mass of H is 1.0079 g/mol; for C it is 12.01 g/mol; for O it is 16.00 g/mol. 1 atm = 760 Torr; 1 dm^3 = 1 L; 1 L = 1000 cm^3 ; 1 m^3 = 1000 L. Answer all questions and show your working. Write clearly. No credit will be given for illegible or ambiguous work.

A. Multiple choice (30 points)

_____ (1) 250.0 g of hot coffee at 95.0 °C are placed in a 0.2000 kg mug at 20.0 °C. The specific heat of the coffee is 4.00 J/g °C, while that of the mug is 0.80 J/g °C. Assuming no heat is lost to the surroundings, what is the final temperature of the system: mug + coffee? A) 61.7 °C B) 117 °C C) 76.0 °C D) 84.7 °C E) 57.5 °C

_____ (2) The complete combustion of propane, C 3 H 8 (g), is represented by the equation: C 3 H 8 (g) + 5 O 2 (g) → 3 CO 2 (g) + 4 H 2 O (l) Δc H° = -2220 kJ/mol How much heat is evolved in the complete combustion of 20.0 L C 3 H 8 (g) at STP? A) 2486 kJ B) 495 kJ C) 994 kJ D) 1007 kJ E) 1981 kJ

_____ (3) Some “beetles” defend themselves by spraying hot quinine, C 6 H 4 O 2 (l), at their enemies. Calculate Δr H° for this reaction.: C 6 H 4 (OH) 2 (l) + H 2 O 2 (l) → C 6 H 4 O 2 (l) + 2 H 2 O (l) Given: C 6 H 4 (OH) 2 (l) → C 6 H 4 O 2 (l) + H 2 (g) Δr H° = 177 kJ/mol The standard enthalpies of formation of H 2 O 2 (l) and H 2 O (l) are -187.8 and -285. kJ/mol, respectively. A) -561.6 kJ/mol B) -384.2 kJ/mol C) -206.8 kJ/mol D) +79.00 kJ/mol E) none of these

_____ (4) Calculate Δf H° of octane, C 8 H 18 (l), given the enthalpy of combustion of octane to CO 2 (g) and H 2 O (l), -5471 kJ/mol, and the standard enthalpies of formation of CO 2 (g) and H 2 O (l), -393.5 kJ/mol and -285.8 kJ/mol, respectively. A) +4792 kJ/mol B) -249.2 kJ/mol C) +249.2 kJ/mol D) -4792 kJ/mol E) none of these

_____ (5) 1674 J of heat are absorbed by 25.0 mL of NaOH (d = 1.10 g/mL, specific heat = 4.10 J/ g °C). The temperature of the NaOH goes up how many degrees (°C)? A) 14. B) 18. C) 17. D) 14. E) none of these

_____ (6) What is ΔH for cooling a half-mole sample of liquid water from 100 °C to 0 °C?

Δvap H° = 40.7 kJ/mol, Δfus H° = 6.0 kJ/mol, C op,m= 75 J K-1^ mol-1. A) -61 J B) -3200 J C) -3750 J D) -27100 J E) none of above

B. Calculation

  1. (10 points) Estimate the change in volume and change in pressure that occurs when the temperature of a 24.5 cm^3 sample of benzene increases by 20.0 K. α = 1.24 x 10-3^ K-1^ and κT = 9.21 x 10-5^ atm-1. Neglect the pressure and temperature dependences of α and κT.
  1. (23 points) 1.50 mol of a diatomic perfect gas at 175 K and 0.950 atm with C ov,m= 27.50 J mol-

K-1^ is put through the following reversible processes. For each process, calculate q, w, ΔU, and ΔH. (a) (12 points) Adiabatic expansion to 0.500 atm. (b) (5 point) Isothermal compression to 75.0 atm. (c) (6 points) Isochoric heating to 298 K. [In all cases, the starting conditions are 175 K and 0.950 atm.]

  1. (7 points) Evaluate α and κT for an ideal gas.