Practice Problems
Ideal Gas Law
Directions:
On this worksheet you will practice with the Ideal Gas Law, the Combined Gas Law, as well as the relationships between the number of moles, the mass, and the number of molecules in a gas sample.
omit
Question 1
A mass of nitrogen gas occupies 0.07 m
3
at one atmosphere of pressure (1 atm = 1.01 x 10
5
Pa), and 16 ºC. What will be its new volume if the pressure is increased to 2.9 x 10
5
Pa and the temperature is increased by 8 ºC?
2.48 x 10
-2
m
3
2.35 x 10
-2
m
3
2.09 x 10
-1
m
3
3.62 x 10
-2
m
3
omit
Question 2
How much mass of nitrogen is present in the sample in
Question #1
?
2.91 x 10
-3
kg
8.16 x 10
-2
kg
4.08 x 10
-2
kg
5.26 x 10
-2
kg
omit
Question 3
A sample of 8 grams of oxygen is at STP (1.01 x 10
5
Pa and 0 ºC). How many molecules are present in the sample?
1.51 x 10
23
molecules
6.02 x 10
28
molecules
3.01 x 10
23
molecules
4.82 x 10
24
molecules
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Question 4
A certain mass of helium gas occupies 290 cm
3
at 24 ºC and 2.9 x 10
5
Pa. How many moles are present in the sample?
0.4215 moles
0.0130 moles
0.0100 moles
0.0341 moles
omit
Question 5
A tiny bubble of air, V = 7 cm
3
, is released by a fish near the bottom of a lake at a depth of 29 meters. If the temperature at the bottom of the lake is 4 ºC and 12 ºC at the surface, what is the volume of the bubble just as it breaks the surface of the lake?
17.7 cm
3
26.9 cm
3
21.0 cm
3
27.7 cm
3
omit
Question 6
Two flasks are connected by an tube that is initially clamped off. One flask, volume of 290 cm
3
, contains argon gas at 0.7 atmospheres while the second flask, volume of 580 cm
3
, contains helium at 1.3 atmospheres. The clamp is removed so that the gases can mix. If the temperature remains constant, what is the final pressure in the double-flask system?
9 x 10
-1
Pa
1.1 x 10
5
Pa
8.67 x 10
4
Pa
2.33 x 10
4
Pa
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