1. A gas mixture containing oxygen, nitrogen, and carbon dioxide has a total pressure of 32.9 kPa. If Pressure of oxygen gas = 6.6 kPa, and pressure of nitrogen gas = 23.0 kPa, what is the pressure of carbon dioxide.
Given PO2 = 6.6 kPa
Ptotal = 32.9 kPa
PN2= 23.0 kPa
Required: PCO2
Analysis: PCO2 = Ptotal - (PO2 + PN2)
Solve: PCO2 = 32.9 kPa- ( 6.6 kPa + 23 kPa+ )
= 3.3 kPa
* The pressure of carbon dioxide is 3.3 kPa.
Evaluate: The pressure of the carbon dioxide is suppose to be smaller than the total pressure which means the answer is reasonable.
•2. If I place 3 moles of N2 and 4 moles of O2 in a 35 L container at a temperature of 250 C, what will be the pressure of the resulting mixture of gases be?
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Given : nnitrogen = 3 moles
noxygen
= 4 moles
V = 35 L
T = 25˚C
or 298 K
Required: Ptotal
Analysis: Pnitrogen
= nRT/ V
Poxygen
= nRT/ V
Solve: : Pnitrogen = (3 moles x 8.31 (L*kPa)/ (K*mol) x 298 K) / 35 L
= 212 kPa
Poxygen = (4 moles x 8.31 (L*kPa)/ (K*mol) x 298 K) / 35 L
= 283 kPa
Ptotal = 212 kPa + 283
kPa
= 495 kPa
* The resulting pressure of the two gases is 495 kPa.
Evaluate: Since the partial pressure of oxygen and nitrogen has been
added, thus the total pressure should be greater than their partial pressure.
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