Gas Law Practice Name
___________________________________
Directions: Answer
the following questions. Show your work, include the units and use the correct
number of significant figures.
1. A gas
at constant temperature occupies a volume of 2.40 L and exerts a pressure of
710 mm Hg What volume will the gas occupy at a
pressure of 75 mm Hg?
2. What
is the pressure of a gas that originally occupied 3.5 L at a pressure of 248 mm
Hg, if the volume is increased to 6.43 L Assume that temperature remains constant.
3. At
constant temperature, a gas that exerted a pressure of 1.44 atm
and that occupied 1.58 L is compressed until its pressure is 6.29 atm. What is its final volume?
4. A gas
at constant pressure occupies 0.400 L at 50°C. What volume will it have at
300°C? (Hint: Remember to convert temperature to Kelvin.)
5. A gas
occupies 0.105 L at 105 K. At what Celsius temperature will its volume be 0.140
L? Assume that pressure remains constant.
6. At
75°C, a gas has a volume of 3.22 L. What volume will it occupy at 75 K?
7. A gas
at 300 K occupies 6.50 L at a pressure of 355 mm Hg What will its pressure be
at 250 K if its volume is reduced to 4.80 L?
8. At
120°C, a gas exerts a pressure of 212 mm Hg when its volume is 0.496 L. if the
temperature is raised to 240°.C, at what volume will
the gas exert a pressure of 183 mm Hg?
9.
A gas confined in a 515-mL container exerts a pressure of 107 mm Hg at 38.6°C.
At what Celsius temperature will it exert a pressure of 635.7 mm Hg if it is
placed into a 644 mL container?
10. A
gas sample that has a mass of 7.02 g occupies 31 mL at 64.3°C and a pressure of
87 mm Hg Calculate the gas density at STP (273 K and 760 mm Hg).
11. At
226 K, a l.00g gas sample in a 1.88-L container exerts a pressure of 108.8 mm
Hg What would the gas sample’s density be at 346 K in
another container at a pressure of 68.3 mm Hg?
12.
Use the kinetic molecular theory to explain why on a cold autumn morning a
camper’s air mattress may appear to be somewhat flatter than it was when blown
up the afternoon before. Assume no leaks.
13
One of the cylinders in an automobile engine is heated and the piston moves,
allowing the gas inside to expand. The original pressure was 1,85 atm, while its original volume
was 175 mL, measured at 18°C. The final measured pressure was 0.86 atm and the temperature was measured at 382°C. Calculate the
final volume of the cylinder
14.
An expandable container is filled with a given volume of gas. While the
pressure of the gas is kept constant, the container is heated. The temperature
is recorded in degrees Celsius, and the volume of the contained gas is recorded
as well. The data are shown in the following table. Convert °C into Kelvin.
Then plot the data on the grid supplied.
|
Temp
(°C) |
Temp
(K) |
Volume
(mL) |
|
0°C |
|
293 |
|
50°C |
|
347 |
|
100°C |
|
401 |
|
150°C |
|
455 |
a.
What type of proportion does this graph illustrate? Explain.
b.
What gas law does the graph illustrate?
c.
Express this relationship in the form of a mathematical equation.
13. The piston in the following
figure is moving further into the cylinder. As it moves, both the pressure and
volume of the contained gas are measured. The data are shown in the following
table. Graph these data on the grid.
|
|
|
Volume |
Pressure |
|
500
cm3 |
1
atm |
|
250
cm3 |
2
atm |
|
167
cm3 |
3
atm |
|
125
cm3 |
4
atm |
|
100
cm3 |
5
atm |
|
83
cm3 |
6
atm |
|
71
cm3 |
7
atm |
|
63
cm3 |
8
atm |
|
56
cm3 |
9
atm |
|
50
cm3 |
10
atm |
a.
What type of proportion does this graph illustrate? Explain.
b.
What pressure will be observed if the volume of the contained gas equals 375 cm3?
c.
Which gas law does the graph illustrate?
d.
Express this relationship in the form of a mathematical equation.