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 0.08 m
^{3}
at one atmosphere of pressure (1 atm = 1.01 x 10
^{5}
Pa), and 17 ºC. What will be its new volume if the pressure is increased to 2.1 x 10
^{5}
Pa and the temperature is increased by 8.5 ºC?
5.71 x 10
^{-2}
m
^{3}
3.7 x 10
^{-2}
m
^{3}
1.73 x 10
^{-1}
m
^{3}
3.92 x 10
^{-2}
m
^{3}
omit
Question 2
How much mass of nitrogen is present in the sample in
Question #1
?
3.32 x 10
^{-3}
kg
9.29 x 10
^{-2}
kg
4.65 x 10
^{-2}
kg
5.66 x 10
^{-2}
kg
omit
Question 3
A sample of 11 grams of oxygen is at STP (1.01 x 10
^{5}
Pa and 0 ºC). How many molecules are present in the sample?
4.14 x 10
^{23}
molecules
2.07 x 10
^{23}
molecules
6.62 x 10
^{24}
molecules
6.02 x 10
^{28}
molecules
omit
Question 4
A certain mass of helium gas occupies 210 cm
^{3}
at 25.5 ºC and 2.1 x 10
^{5}
Pa. How many moles are present in the sample?
0.0094 moles
0.2080 moles
0.0178 moles
0.0146 moles
omit
Question 5
A tiny bubble of air, V = 8 cm
^{3}
, is released by a fish near the bottom of a lake at a depth of 21 meters. If the temperature at the bottom of the lake is 4 ºC and 15 ºC at the surface, what is the volume of the bubble just as it breaks the surface of the lake?
25.4 cm
^{3}
24.5 cm
^{3}
21.4 cm
^{3}
30.0 cm
^{3}
omit
Question 6
Two flasks are connected by an tube that is initially clamped off. One flask, volume of 210 cm
^{3}
, contains argon gas at 0.8 atmospheres while the second flask, volume of 420 cm
^{3}
, contains helium at 1.6 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?
1.33 x 10
^{5}
Pa
1.07 x 10
^{0}
Pa
2.67 x 10
^{4}
Pa
1.07 x 10
^{5}
Pa
omit
Question 7
What is the average translational velocity of one nitrogen molecule in the sample in
Question #1
when the gas was at its original temperature, 17 ºC?
8.82 x 10
^{0}
m/sec
1.61 x 10
^{1}
m/sec
5.08 x 10
^{2}
m/sec
3.39 x 10
^{2}
m/sec
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