Gases Chemistry Worksheet - Chapter 13, An Introduction To Chemistry Page 16
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Chapter 13
Gases
e
13.3 - Using the Ideal Gas Equation
xample
In the incandescent light bulb described in Example 13.1, what is the density of argon
O
17
bjeCtive
gas at 80.8 °C and 131 kPa?
Solution
Because only one gas is mentioned and because there are no changing properties, we
recognize this as an ideal gas equation problem.
Density is mass divided by volume. Using variables from the expanded form of the
ideal gas equation, it can be expressed as g/V.
g
= ?
P = 131 kPa
T = 80.8 °C + 273.15 = 354.0 K
V
g
PV =
RT
M
To save a little time, we can use the value for R that contains the pressure unit given in
the problem, kPa.
39.948 g
131 kPa
g
PM
1 mol
= 1.78 g/L
=
=
V
RT
8.3145 L kPa
(354.0 K)
K mol
Alternatively, we could use the same value for R that we used in Examples 13.1 and
13.2, along with a unit conversion.
39.948 g
131 kPa
g
PM
1 atm
1 mol
= 1.78 g/L
=
=
V
RT
101.325 kPa
0.082058 L atm
(354.0 K)
K mol
A disastrous series of crashes in the 1992 Indianapolis 500 race has been traced to
an unfortunate combination of factors, including an unusually and unexpectedly low
temperature, which led to a higher-than-expected air density that day. A change in air
density causes changes in aerodynamic forces, engine power, and brake performance.
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