A sealed tank contains a gas mixture of 32.0 g of oxygen ( , molar mass = 32.0 g/mol) and 28.0 g of nitrogen ( , molar mass = 28.0 g/mol). The total pressure of the mixture is 9.0 atm. Calculate the partial pressure of in the tank.
Answer & Analysis
Analysis
Question Analysis
This question involves converting gas masses to moles, calculating total moles of a binary mixture, and applying the mole fraction form of Dalton’s Law of Partial Pressures. The main focus is on integrating stoichiometric mass-mole conversion with partial pressure calculation.
Key Concept Explanation
For mass-based gas mixtures, the core steps are:
1. Convert mass to moles using (where = mass, = molar mass).
2. Calculate mole fraction of the target gas: .
3. Find partial pressure via .
This method applies only to non-reacting ideal gas mixtures.
Step-by-Step Solution
1. Calculate moles of each gas:
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