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Gas 'A' (Molar Mass of A= 128 g mol-1) is taken in a closed container at the initial total pressure of 1000 mm of Hg. Pressure of the gas decreases to 900 torr in 5 seconds due to the diffusion though square cross section. Another similar size container is taken in which gaseous mixture of A and B are taken. (Molar mass of the mix is 472/5)
at  the total pressure of 5000 torr (molar mass of B = 72 g moll. A rectangular crosssection is made in this container and gases are allowed to duffuse. Width of this rectangular cross-section is same as the side of the square cross section and length of the rectangular cross-section is 50% more than the width. Assume that the gases A and B are non reacting and rate of diffusion of the gases are only dependent upon the initial total pressure and it is independent of the change in the pressure due to diffusion. Assume all other conditions to be identical.
Q.
Gas diffused out initially from 2nd container has composition:
  • a)
    1/A=3/7
  • b)
    XB = 3/5
  • c)
    XA = 1/3
  • d)
    XB = 1/4
Correct answer is option 'C'. Can you explain this answer?
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Gas Diffusion in the 2nd Container
Gas A and gas B are diffusing in a closed container, each with their own rates of diffusion.

Given Information
- Molar mass of gas A = 128 g mol-1
- Molar mass of gas B = 72 g mol-1
- Molar mass of gas mixture = 472/5 g mol-1
- Initial total pressure in the container = 5000 torr

Calculation
1. Calculate the mole fraction of gas A and B in the mixture using their molar masses:
- Mole fraction of A = (Molar mass of B)/(Molar mass of mixture) = 72/(472/5) = 5/59
- Mole fraction of B = 1 - Mole fraction of A = 1 - 5/59 = 54/59
2. The initial pressure exerted by gas A and gas B in the container:
- Pressure exerted by A = Mole fraction of A * Initial total pressure = (5/59) * 5000 = 425.42 torr
- Pressure exerted by B = Mole fraction of B * Initial total pressure = (54/59) * 5000 = 4574.57 torr
3. The composition of gas diffused out initially from the 2nd container:
- Mole fraction of A = Pressure exerted by A / (Pressure exerted by A + Pressure exerted by B) = 425.42 / (425.42 + 4574.57) ≈ 0.085
- Mole fraction of B = 1 - Mole fraction of A ≈ 0.915
Therefore, the correct option is:
c) XA = 1/3
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Gas 'A' (Molar Mass of A= 128 g mol-1) is taken in a closed container at the initial total pressure of 1000 mm of Hg. Pressure of the gas decreases to 900 torr in 5 seconds due to the diffusion though square cross section. Another similar size container is taken in which gaseous mixture of A and B are taken. (Molar mass of the mix is 472/5)at the total pressure of 5000 torr (molar mass of B = 72 g moll. A rectangular crosssection is made in this container and gases are allowed to duffuse. Width of this rectangular cross-section is same as the side of the square cross section and length of the rectangular cross-section is 50% more than the width. Assume that the gases A and B are non reacting and rate of diffusion of the gases are only dependent upon the initial total pressure and it is independent of the change in the pressure due to diffusion. Assume all other conditions to be identical.Q.Gas diffused out initially from 2nd container has composition:a)1/A=3/7b)XB =3/5c)XA =1/3d)XB =1/4Correct answer is option 'C'. Can you explain this answer?
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Gas 'A' (Molar Mass of A= 128 g mol-1) is taken in a closed container at the initial total pressure of 1000 mm of Hg. Pressure of the gas decreases to 900 torr in 5 seconds due to the diffusion though square cross section. Another similar size container is taken in which gaseous mixture of A and B are taken. (Molar mass of the mix is 472/5)at the total pressure of 5000 torr (molar mass of B = 72 g moll. A rectangular crosssection is made in this container and gases are allowed to duffuse. Width of this rectangular cross-section is same as the side of the square cross section and length of the rectangular cross-section is 50% more than the width. Assume that the gases A and B are non reacting and rate of diffusion of the gases are only dependent upon the initial total pressure and it is independent of the change in the pressure due to diffusion. Assume all other conditions to be identical.Q.Gas diffused out initially from 2nd container has composition:a)1/A=3/7b)XB =3/5c)XA =1/3d)XB =1/4Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Gas 'A' (Molar Mass of A= 128 g mol-1) is taken in a closed container at the initial total pressure of 1000 mm of Hg. Pressure of the gas decreases to 900 torr in 5 seconds due to the diffusion though square cross section. Another similar size container is taken in which gaseous mixture of A and B are taken. (Molar mass of the mix is 472/5)at the total pressure of 5000 torr (molar mass of B = 72 g moll. A rectangular crosssection is made in this container and gases are allowed to duffuse. Width of this rectangular cross-section is same as the side of the square cross section and length of the rectangular cross-section is 50% more than the width. Assume that the gases A and B are non reacting and rate of diffusion of the gases are only dependent upon the initial total pressure and it is independent of the change in the pressure due to diffusion. Assume all other conditions to be identical.Q.Gas diffused out initially from 2nd container has composition:a)1/A=3/7b)XB =3/5c)XA =1/3d)XB =1/4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gas 'A' (Molar Mass of A= 128 g mol-1) is taken in a closed container at the initial total pressure of 1000 mm of Hg. Pressure of the gas decreases to 900 torr in 5 seconds due to the diffusion though square cross section. Another similar size container is taken in which gaseous mixture of A and B are taken. (Molar mass of the mix is 472/5)at the total pressure of 5000 torr (molar mass of B = 72 g moll. A rectangular crosssection is made in this container and gases are allowed to duffuse. Width of this rectangular cross-section is same as the side of the square cross section and length of the rectangular cross-section is 50% more than the width. Assume that the gases A and B are non reacting and rate of diffusion of the gases are only dependent upon the initial total pressure and it is independent of the change in the pressure due to diffusion. Assume all other conditions to be identical.Q.Gas diffused out initially from 2nd container has composition:a)1/A=3/7b)XB =3/5c)XA =1/3d)XB =1/4Correct answer is option 'C'. Can you explain this answer?.
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