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Benzene and toluene form nearly ideal solution. At 20°C,the vapour pressure of benzene is 75 torr and that of tolueneis 22 torr. The partial vapour pressure of benzene at 20°C fora solution containing 78 g of benzene and 46 g of toluene intorr is [2005]
  • a)
    53.5
  • b)
    37.5
  • c)
    25
  • d)
    50
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Benzene and toluene form nearly ideal solution. At 20°C,the vapour...
°C, the vapor pressure of pure benzene is 74 torr and the vapor pressure of pure toluene is 22 torr. When a solution containing 50.0 g of benzene and 50.0 g of toluene is prepared, the vapor pressure of the solution is 38 torr. Calculate the mole fraction of benzene in the solution.

To solve this problem, we can use Raoult's Law, which states that the partial pressure of a component in a solution is equal to the product of its mole fraction and its vapor pressure in its pure state.

Let's denote the mole fraction of benzene as x and the mole fraction of toluene as (1-x).

According to Raoult's Law, the partial pressure of benzene (Pbenzene) in the solution is given by:

Pbenzene = x * Pbenzene(pure)

Similarly, the partial pressure of toluene (Ptoluene) in the solution is given by:

Ptoluene = (1-x) * Ptoluene(pure)

Given that Pbenzene(pure) = 74 torr, Ptoluene(pure) = 22 torr, and the total vapor pressure of the solution (Ptotal) = 38 torr, we can set up the following equation:

Pbenzene + Ptoluene = Ptotal

Substituting the expressions for Pbenzene and Ptoluene:

x * Pbenzene(pure) + (1-x) * Ptoluene(pure) = Ptotal

x * 74 + (1-x) * 22 = 38

Simplifying the equation:

74x + 22 - 22x = 38

52x = 16

x = 16/52

x = 0.3077

Therefore, the mole fraction of benzene in the solution is approximately 0.3077.
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Community Answer
Benzene and toluene form nearly ideal solution. At 20°C,the vapour...
According to Raoult's law, Partial vapour pressure = mole fraction × pressure by its pure solution.

Thus, you have to just calculate value of mole fraction of benzene and multiply it with pressure of Benzene which is given question. You will get answer as 50torr.

If you want full solution then reply and ask.
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Benzene and toluene form nearly ideal solution. At 20°C,the vapour pressure of benzene is 75 torr and that of tolueneis 22 torr. The partial vapour pressure of benzene at 20°C fora solution containing 78 g of benzene and 46 g of toluene intorr is [2005]a)53.5b)37.5c)25d)50Correct answer is option 'D'. Can you explain this answer?
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Benzene and toluene form nearly ideal solution. At 20°C,the vapour pressure of benzene is 75 torr and that of tolueneis 22 torr. The partial vapour pressure of benzene at 20°C fora solution containing 78 g of benzene and 46 g of toluene intorr is [2005]a)53.5b)37.5c)25d)50Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Benzene and toluene form nearly ideal solution. At 20°C,the vapour pressure of benzene is 75 torr and that of tolueneis 22 torr. The partial vapour pressure of benzene at 20°C fora solution containing 78 g of benzene and 46 g of toluene intorr is [2005]a)53.5b)37.5c)25d)50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Benzene and toluene form nearly ideal solution. At 20°C,the vapour pressure of benzene is 75 torr and that of tolueneis 22 torr. The partial vapour pressure of benzene at 20°C fora solution containing 78 g of benzene and 46 g of toluene intorr is [2005]a)53.5b)37.5c)25d)50Correct answer is option 'D'. Can you explain this answer?.
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