A gas mixture in a sealed flask contains 2 moles of methane ( ), 3 moles of ethane ( ), and 5 moles of propane ( ). The total pressure of the mixture is 200 kPa. What is the partial pressure of ethane in the mixture?
Options
A
30 kPa
B
50 kPa
C
60 kPa
D
100 kPa
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 specific gas using its mole fraction and the total pressure of the mixture.
Key Concept Explanation
Dalton’s Law can be expanded using mole fraction ( )—the ratio of the moles of one gas to the total moles of the mixture. The formula for partial pressure is:
where
= moles of gas , = total moles of the mixture, and = total pressure of the mixture.
This applies only to non-reacting ideal gases.
Step-by-Step Solution
1. Calculate the total moles of the gas mixture:
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