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Comprehension Type
This section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)
This section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)
Passage I
At 300 K, vapour pressure of pure liquid A = 575torr
and that of pure liquid B = 390torr
In binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35
Q.
Binary mixture contains
- a)27mol% A
- b)73 mol % A
- c)50 mol% A
- d)47 mol% A
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Comprehension TypeThis section contains 2 paragraphs , each describing...
Let moles of A = nA and moles of B = nB
Mole fraction of A in vapour state
Thus, A is 27 mole %.
Total vapour pressure of binary mixture
Total vapour pressure of binary mixture
Most Upvoted Answer
Comprehension TypeThis section contains 2 paragraphs , each describing...
Understanding the Binary Mixture
In the given scenario, we have a binary mixture of two liquids, A and B, with their respective vapour pressures at 300 K being 575 torr and 390 torr. The vapour phase composition of the mixture shows that the mole fraction of A is 0.35. This means that in the vapour phase, 35% of the molecules are from liquid A.
Calculating the Mole Fraction in the Liquid Phase
Using Raoult's Law, which states that the vapour pressure of each component in an ideal mixture is proportional to its mole fraction in the liquid phase, we can derive the mole fraction of A in the liquid phase.
- The total vapour pressure (P_total) can be calculated:
P_total = P_A + P_B
- For the vapour phase, the mole fraction of A (y_A) is given as 0.35, and of B (y_B) as 0.65 (since y_A + y_B = 1).
- The partial pressures can be calculated:
- P_A = y_A * P_total
- P_B = y_B * P_total
Using Raoult's Law:
- P_A = x_A * P_A^0 (where x_A is the mole fraction of A in the liquid phase, and P_A^0 is the vapour pressure of pure A)
- P_B = x_B * P_B^0 (where x_B is the mole fraction of B in the liquid phase, and P_B^0 is the vapour pressure of pure B)
Given that the mixture adheres to ideal behaviour, we can find that when you set up the equations and solve for x_A, it results in approximately 0.27 or 27 mol% of A, which corresponds to option 'A'.
Conclusion
Thus, the answer to the question regarding the composition of the binary mixture is indeed 27 mol% A, confirming that the calculations align with the principles of Raoult's Law and the definitions of vapour pressure in mixtures.
In the given scenario, we have a binary mixture of two liquids, A and B, with their respective vapour pressures at 300 K being 575 torr and 390 torr. The vapour phase composition of the mixture shows that the mole fraction of A is 0.35. This means that in the vapour phase, 35% of the molecules are from liquid A.
Calculating the Mole Fraction in the Liquid Phase
Using Raoult's Law, which states that the vapour pressure of each component in an ideal mixture is proportional to its mole fraction in the liquid phase, we can derive the mole fraction of A in the liquid phase.
- The total vapour pressure (P_total) can be calculated:
P_total = P_A + P_B
- For the vapour phase, the mole fraction of A (y_A) is given as 0.35, and of B (y_B) as 0.65 (since y_A + y_B = 1).
- The partial pressures can be calculated:
- P_A = y_A * P_total
- P_B = y_B * P_total
Using Raoult's Law:
- P_A = x_A * P_A^0 (where x_A is the mole fraction of A in the liquid phase, and P_A^0 is the vapour pressure of pure A)
- P_B = x_B * P_B^0 (where x_B is the mole fraction of B in the liquid phase, and P_B^0 is the vapour pressure of pure B)
Given that the mixture adheres to ideal behaviour, we can find that when you set up the equations and solve for x_A, it results in approximately 0.27 or 27 mol% of A, which corresponds to option 'A'.
Conclusion
Thus, the answer to the question regarding the composition of the binary mixture is indeed 27 mol% A, confirming that the calculations align with the principles of Raoult's Law and the definitions of vapour pressure in mixtures.
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Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer?
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Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer?.
Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer?.
Solutions for Comprehension TypeThis section contains 2 paragraphs , each describing theory, experiments, data, etc. four questions related to the paragraph have been given. Each question has only one correct answer out of the given 4 options (a), (b), (c) and (d)Passage IAt 300 K, vapour pressure of pure liquid A = 575torrand that of pure liquid B = 390torrIn binary mixture of liquids A and B with ideal behaviour, mole fraction of A in vapour phase =0.35Q.Binary mixture containsa)27mol% Ab)73 mol % Ac)50 mol% Ad)47 mol% ACorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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