Solution
Step
1- Find the pressure the gas exerts.
Step
2- Convert the temperature
from Celsius to Kelvin.
Step
3- Find the number of mole
Step
4- Solve for the volume
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The pressure of the gas is 4
atm. We must convert the pressure from atm to kilopascals.
1 atm = 101.3kPa
So
4 atm = 4 X 101.3 = 405.2 kPa
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17 degrees Celsius is (273 + 17) 290o K
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The molar mass of oxygen (O2) is 32
mole of oxygen = 16.0/32 =0.5mole
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Place the value of each variable in the formula and solve for the volume
V = (0.5 X 8.31 X 290 ) / 405.2 = 2.97 litres
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The
ideal gas equation
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A 16.0 gram pure sample of oxygen(O2) was placed in a syringe as shown on the right. The plunger was allowed to expand under atmospheric pressure. The gas was then compressed under a mechanicla force to a pressure of 4 atm. What volume did the gas finally occupy if the temperature of the gas was 17oC? Atomic
mass of O =16
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