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Multiple Choice
A gas mixture contains 72.8% chlorine and 27.2% neon by mass. What is the partial pressure of neon in the mixture if the total pressure is recorded as 809 mmHg?
A
260 mmHg
B
289 mmHg
C
320 mmHg
D
392 mmHg
E
459 mmHg
Verified step by step guidance
1
Step 1: Begin by understanding Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas in the mixture.
Step 2: Calculate the mass of each gas in the mixture using the given percentages. Assume a total mass of 100 grams for simplicity. This means you have 72.8 grams of chlorine and 27.2 grams of neon.
Step 3: Convert the mass of each gas to moles using their molar masses. The molar mass of chlorine (Cl₂) is approximately 70.9 g/mol, and the molar mass of neon (Ne) is approximately 20.18 g/mol. Use the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \).
Step 4: Determine the mole fraction of neon in the mixture. The mole fraction is calculated using the formula: \( \text{mole fraction of Ne} = \frac{\text{moles of Ne}}{\text{total moles of gases}} \).
Step 5: Calculate the partial pressure of neon using its mole fraction and the total pressure. Use the formula: \( P_{\text{Ne}} = \text{mole fraction of Ne} \times \text{total pressure} \).