To
completely
describe the state of a gaseous substance, its pressure, volume,
amount, and temperature
must be
specified.
PRESSURE
Pressure is defined as force per unit area. The SI unit of pressure is
the pascal (Pa), the pressure
exerted by a force of one newton on an area of one square meter.
Atmospheric pressure is about
105 Pa or 100 kilopascals (kPa). The
pressure
units used most frequently are atmosphere (atm)
or millimeters of mercury (mmHg). The unit mmHg is often
called
the Torr.
1 atm = 760 mmHg = 760 Torr
VOLUME
A gas expands uniformly to fill any container in which it is placed.
This
means that the volume of a
gas is the volume of its container. Volumes of gases are often
expressed
in liters or cubic decimeters.
1 L = 1 dm3
AMOUNT
Most commonly, the amount of matter in a gaseous sample is expressed in
terms of the number of
moles (n). In some cases, the mass is given instead. These
two quantities are related through the
molar mass, MW.
n = mass/MW
TEMPERATURE
The temperature of a gas is ordinarily measured using a thermometer
marked
in degrees Celsius.
However, in any calculation involving the physical behavior of
gases,
temperatures must be
expressed on the Kelvin scale (K). The formula for converting
between oC and K is:
K = oC + 273.15
STANDARD TEMPERATURE and PRESSURE (STP)
The conditions of 0oC (273.15 K), and 1 atm (760 Torr, 760
mm
Hg) are referred to as standard
temperature and pressure (STP).
IDEAL
GAS
LAW
The pressure, volume, amount, and temperature of a gas are described
mathematically
by an
equation known as the ideal gas equation.
PV = nRT
The gas constant, R has a given value depending on the unit of pressure.
R = 0.0821 L.atm/mol.K
(pressure is in atm)
= 62.4 L.mmHg/mol.K
(pressure
in mmHg)
= 62.4 L.Torr/mol.K
(pressure in Torr)
EXAMPLE
1
Calculate
the volume occupied by 93.6 grams of NO gas at a pressure of 793 mmHg
at 100 oC.
[Answer:
91.6 L]
EXAMPLE
2
Calculate
the mass of ammonia, NH3, in a 6.64 L cylinder if the
pressure
inside the cylinder is
4.76 atm at
25.0 oC.
[Answer: 22.0
g NH3]
EXAMPLE
3
What is the
pressure (mmHg) inside a 10.0 L vessel containing 8.025 g CH4
at 20.0oC?
[Answer: 914.6
mmHg]
EXAMPLE
4
When a 0.308
g sample of liquid hexane, C6H14, was vaporized
at
100.00o C, the pressure of the
hexane vapor
at this temperature was 759.42 mmHg. The volume of the vapor was
112.40 mL.
Using this
set of data, calculate an experimental molar mass for hexane.
[Answer:
84.02 g/mol]