c01 JWBS043-Rogers September 13, 2010 11:20 Printer Name: Yet to Come
PROBLEMS AND EXERCISES 15Problem 1.1
Calculate the volume of 50.0 gr of methane at 400 K andp=12.0 bar.R=
8 .314 J K−^1 mol−^1. Discuss units.Problem 1.2
A quantity of an ideal gas occupies 37.5 L at 1.00 atm pressure. How many liters
will it occupy when compressed to 4.50 atm pressure at constant temperature? What
is the Boyle’s law constantk? Give units. 1 bar=0.986923 atm.Problem 1.3
Plot thepVcurves for 1.00 dm^3 of three ideal gas samples, each expanded from a
volume of 1.00 dm^3 in increments of 10.0 dm^3 to 100 dm^3 , where the three samples
are maintained at energies of 500, 1500, and 2500 joules, respectively.Problem 1.4
Four grams of an organic liquid vaporizes to produce 1.00 dm^3 of vapor at 298.15 K
and 1.00 atmosphere. Find an approximate molar mass of the liquid.Problem 1.5 Mathcad©CComputer Exercise
(a) The volume of a fixed quantity of a real gas at 298.15 K was measured at five
different pressures,p= 0. 160 , 0. 219 , 0. 310 , 0. 498 ,and 0.652 atm. The ex-
perimental results wereV= 3. 42 , 2. 48 , 1. 71 , 1. 03 , 0 .75 dm^3. These pres-
sures and volumes were tabulated as column vectorspandV. Calculate five
approximate Boyle’s law constants from these measurements.
(b) What would the Boyle’s law constant have been if the gas had been ideal?
(c) If the amount of sample, identified as carbon dioxide, is 1.000 g, what is its
molar volume?Problem 1.6
The volume of a 0.5333-g sample of gas was measured at 298 K and pressures of
0.0590, 0.143, 0.288, 0.341, and 0.489 bar with the resultsV=14.8, 6.07, 2.99, 2.54,
and 1.75 dm^3. What is the molar mass of the gas?Problem 1.7
A mixture of 8.00 g of H 2 and 2.00 g of D 2 was allowed to effuse through a minute
orifice, and the composition of the effusing gas mixture was monitored by glc. What
was the percent composition of the first trace of gas mixture so monitored?