A gas mixture consists of 1.5 moles of nitrogen ( ), 3.0 moles of oxygen ( ), and 1.5 moles of carbon dioxide ( ). The total pressure of the mixture is 1.8 atm. What is the partial pressure of in the mixture?
Options
A
0.3 atm
B
0.6 atm
C
0.9 atm
D
1.2 atm
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves the mole fraction extension of Dalton’s Law of Partial Pressures. The main focus is on calculating the partial pressure of a target gas in a three-component mixture using its mole fraction and the given total pressure.
Key Concept Explanation
Dalton’s Law of Partial Pressures uses mole fraction ( ) to relate the amount of a gas to its partial pressure. The core formulas are:
where = moles of the target gas, = total moles of the mixture, = partial pressure of the target gas, and = total pressure of the mixture. This is only valid for non-reacting ideal gases.
Step-by-Step Solution
1. Calculate the total moles of the gas mixture:
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