Concept:According to Dalton's Law of Partial Pressures, the partial pressure of a specific gas in an ideal gas mixture is proportional to its mole fraction in that mixture.
Formula:$$ P_i = P_t \times X_i $$
Solution:- Let \( P_i \) be the partial pressure of gas component i.
- Let \( P_t \) be the total pressure of the gaseous mixture.
- Let \( X_i \) be the mole fraction of gas i (moles of i divided by total moles).
- The partial pressure is calculated by simply multiplying the total pressure by the mole fraction of that specific gas: \( P_i = P_t X_i \).
Why other options are incorrect:- Options A, B, & C: These represent mathematically invalid operations (division, addition, or incorporating the gas constant R incorrectly) for determining partial pressure from mole fraction.
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