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Answer :
Final answer:
To find the partial pressures of the gases we multiply their percentage by the total pressure. The partial pressures are 276.5 kPa for CH4, 27.4 kPa for C2H6, and 3.3 kPa for C3H8.
Explanation:
The student asked what the partial pressure of each component in a gas mixture would be, given that the sample contains 90.0% CH4, 8.9% C2H6, and 1.1% C3H8, at a total pressure of 307.2 kPa.
To calculate the partial pressures, we use the formula:
Partial Pressure of a Gas = % of Gas × Total Pressure
- For CH4: (90.0/100) × 307.2 kPa = 276.48 kPa
- For C2H6: (8.9/100) × 307.2 kPa = 27.34 kPa
- For C3H8: (1.1/100) × 307.2 kPa = 3.38 kPa
In summary, the partial pressures will be approximately 276.5 kPa for CH4, 27.4 kPa for C2H6, and 3.3 kPa for C3H8.
Note that rounding could make the final values slightly different, but they should be close to those calculations.
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