Instructions: Put your name, social security number, and section number on the top of this exam page. Answer the following five (5) parts in the notation and conventions of the lecture for a total of 100 points. Read the entire exam. Work alone and consult no one, living or dead, about this test (except Brucat) until after you leave the room. Notebooks, textbooks and any other study material is not allowed in the exam room. You may use only your own writing and calculating instruments (do not share). Show work where appropriate and write only on this exam page. Show proper units to receive credit.
Part I
(a) Write down a valid mathematical expression (equation)
between the volume (in liters) and the
pressure (in atmospheres) of one (1.00) mole of a gas if
the temperature of the gas is 0.00 oC.
(b) If a gas initially at one (1.00) atm pressure is compressed to half its initial volume and heated to four times its initial temperature, what is the final pressure of the gas?
(b) List the 3 major assumptions that imply the validity of the ideal gas equation of state
Part III
(a) Calculate the total kinetic energy of a mole of He gas at STP
(b) If a bicycle tire inflated with Air (mean mol wt=29 g/mol) deflates in a period of one (1.00) hour, how long will it take the same tire to deflate under the same conditions if it were filled with He?
Part IV
Find the vapor pressure of a liquid at an absolute temperature that is 90% of the
temperature of its normal boiling point. Assume the molar heat of vaporization of the
substance is 42 kJ/mol and the normal boiling point is 100 oC.
Part V
(a) Draw the unit cell of an elemental crystal that exhibits a primitive cubic structure.
--- draw Unit Cell here ---
(b) The number of nearest neighbors in this structure is ___________
(c) The number of atoms in the unit cell of this structure is __________
On my Honor, I have neither given nor received unauthorized aid in the execution of this exam