A sealed tank contains a gas mixture of 2.0 moles of hydrogen ( ), 3.0 moles of nitrogen ( ), and 5.0 moles of ammonia ( ). The total pressure of the mixture is 250 kPa. What is the partial pressure of in the mixture?
Options
A
25 kPa
B
50 kPa
C
75 kPa
D
125 kPa
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves the mole fraction application of Dalton’s Law of Partial Pressures. The main focus is on calculating the partial pressure of a specific gas in a three-component mixture using its mole fraction and the given total pressure in kilopascals.
Key Concept Explanation
Dalton’s Law of Partial Pressures can be applied with mole fraction ( ) to find the partial pressure of a gas in a mixture. The key formulas are:
where = moles of the target gas, = total moles of all gases in the mixture, = partial pressure of the target gas, and = total pressure of the mixture. This principle only holds for non-reacting ideal gases.
Step-by-Step Solution
1. Calculate the total moles of the gas mixture:
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