Questions 

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1. A gas has a volume of 800.0 mL
at minus 23.00 °C and 300.0 torr. What would
the volume of the gas be at 227.0 °C and 600.0
torr of pressure? 

1. V =
[ (300 torr) (800 mL) (500
K) ] / [ (250 K) (600 torr) ]; x = 800.0 mL
Keep in mind that torr = mmHg.

2. 500.0 liters of a gas are prepared at
700.0 mm Hg and 200.0 °C. The gas is placed
into a tank under high pressure. When the tank
cools to 20.0 °C, the pressure of the gas is
30.0 atm. What is the volume of the gas?


2. V = [ (700/760) (500) (293) ] / [ (473)
(30) ]; x = 9.51 L
Note that this problem mixes pressure units.
The 700/760 fraction converts mmHg to atm.

3. What is the final volume of a 400.0 mL
gas sample that is subjected to a temperature
change from 22.0 °C to 30.0 °C and a pressure
change from 760.0 mm Hg to 360.0 mm Hg?


3. V = [ (760 mm Hg) (400 mL) (303 K) ] / [
(295 K) (360 mm Hg) ]; x = 867.3 mL

4. What is the volume of gas at 2.00 atm and
200.0 K if its original volume was 300.0 L at
0.250 atm and 400.0 K?


4. V = [ (0.25) (300) (200) ] / [ (400) (2)
]

5. At conditions of 785.0 torr of pressure
and 15.0 °C temperature, a gas occupies a
volume of 45.5 mL. What will be the volume of
the same gas at 745.0 torr and 30.0 °C?


5. V = [ (785) (45.5) (303) ] / [ (288)
(745) ]

6. A gas occupies a volume of 34.2 mL at a
temperature of 15.0 °C and a pressure of 800.0 torr. What will be the volume of this gas at
standard conditions?


6. V = [ (800) (34.2) (273) ] / [ (288)
(760) ] 
7. The volume of a gas originally at
standard temperature and pressure was recorded
as 488.8 mL. What volume would the same gas
occupy when subjected to a pressure of 100.0 atm
and temperature of minus
245.0 °C?


7. V = [ (1) (488.8) (28) ] / [ (273) (100)
] 
8. At a pressure of 780.0 mm Hg and 24.2 °C,
a certain gas has a volume of 350.0 mL. What
will be the volume of this gas at STP?


8. V = [ (780) (350) (273) ] / [ (297.2)
(760) ]

9. A gas sample occupies 3.25 liters at 24.5
°C and 1825 mm Hg. Determine the temperature at
which the gas will occupy 4250 mL at 1.50 atm.


9. T = [ (1.50 atm) (4.25 L) (297.5 K) ] /
[(1825 mm Hg/760 atm mmHg) (3.25
L) ]
Note that I cross multiplied. 
10. If 10.0 liters of oxygen at STP are
heated to 512 °C, what will be the new volume
of gas if the pressure is also increased to
1520.0 mm of mercury?


10. V = [ (760) (10) (785) ] / [ (273) (1520)
]

11. What is the volume at STP of 720.0 mL of
a gas collected at 20.0 °C and 3.00 atm
pressure?


11. P = [ (3.00 atm) (720.0 mL) (273 K) ] / [
(293 K) (1.00 atm)

12. 2.00 liters of hydrogen, originally at
25.0 °C and 750.0 mm of mercury, are heated
until a volume of 20.0 liters and a pressure of
3.50 atmospheres is reached. What is the new
temperature?


12. T = [ (3.50) (20) (298) ] / [ (750/760)
(2.00) ]

13. A gas balloon has a volume of 106.0
liters when the temperature is 45.0 °C and the
pressure is 740.0 mm of mercury. What will its
volume be at 20.0 °C and 780 .0 mm of mercury
pressure?


13. V = [ (740 mmHg) (106 L) (293 K) ] / [
(318 K) (780 mmHg) ] 
14. If the absolute temperature of a given
quantity of gas is doubled and the pressure
tripled, what happens to the volume of the gas?


14. V = [ (1) (10) (2) ] / [ (1) (3) ]

15. 73.0 mL of nitrogen at STP is heated to
80.0 °C and the volume increase to 4.53 L. What
is the new pressure?


15. P = [ (1.00 atm) (73.0 mL) (353 K) ] / [
(273 K) (4530 mL) ]

16. 500.0 mL of a gas was collected at 20.0
°C and 720.0 mm Hg. What is its volume at STP?


16. V = [ (720) (500) (273) ] / [ (293) (760)
]

17. A sample of gas occupies 50.0 L at 15.0
°C and 640.0 mm Hg pressure. What is the volume
at STP?


17.V = [ (640) (50)
(273) ] / [ (288) (760) ]
