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Acetone has a vapour pressure of 185.2 mm Hg and ether 443.5 mm Hg at 20ºC. For a liquid mixture of acetone and ether containing 0.457 mole fraction of acetone, the partial pressure of ether is:
  • a)
    218.8 mm
  • b)
    240.8 mm
  • c)
    318.8 mm
  • d)
    381.8 mm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Acetone has a vapour pressure of 185.2 mm Hg and ether 443.5 mm Hg at...
Given:
Acetone:
- Vapour pressure: 185.2 mm Hg
Ether:
- Vapour pressure: 443.5 mm Hg
- Mole fraction of acetone in the mixture: 0.457

To find:
Partial pressure of ether in the mixture

Solution:
The partial pressure of a component in a mixture can be calculated using Raoult's law, which states that the partial pressure of a component is equal to the product of its mole fraction in the mixture and its vapour pressure at that temperature.

Step 1: Calculate the mole fraction of ether
Since the mole fraction of acetone is given as 0.457, the mole fraction of ether can be calculated as:
Mole fraction of ether = 1 - Mole fraction of acetone
= 1 - 0.457
= 0.543

Step 2: Calculate the partial pressure of ether
Using Raoult's law, the partial pressure of ether can be calculated as:
Partial pressure of ether = Mole fraction of ether * Vapour pressure of ether
= 0.543 * 443.5 mm Hg
= 240.8 mm Hg

Therefore, the partial pressure of ether in the liquid mixture is 240.8 mm Hg.

Answer:
Option B) 240.8 mm
Free Test
Community Answer
Acetone has a vapour pressure of 185.2 mm Hg and ether 443.5 mm Hg at...
Mole fraction of ether in the liquid mixture = (1 – 0.457) = 0.543
Partial pressure of ether = 0.543 ×443.5 = 240.78 mm
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Acetone has a vapour pressure of 185.2 mm Hg and ether 443.5 mm Hg at 20ºC. For a liquid mixture of acetone and ether containing 0.457 mole fraction of acetone, the partial pressure of ether is:a)218.8 mmb)240.8 mmc)318.8 mmd)381.8 mmCorrect answer is option 'B'. Can you explain this answer?
Question Description
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