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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.
Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:
  • a)
    7/9
  • b)
     2/3
  • c)
     8/11
  • d)
     9/13
Correct answer is option 'A'. 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...
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Gas A (Molar Mass of A= 128 g mol-1) is taken in a closed container at...
Given Information:
- Gas A has a molar mass of 128 g mol-1.
- Initial total pressure of Gas A is 1000 mm of Hg, which decreases to 900 torr in 5 seconds.
- Gas mixture of A and B in another container, with molar mass of the mixture as 472/5.
- Total pressure of the mixture is 5000 torr.
- Molar mass of B is 72 g mol-1.
- The rectangular cross-section has width same as the side of the square cross-section and length 50% more than the width.

Calculation:
- The rate of diffusion is only dependent on the initial total pressure and is independent of the change in pressure due to diffusion.

For Gas A:
- Using Graham's law of diffusion, the rate of effusion is inversely proportional to the square root of the molar mass.
- Ratio of the rates of diffusion of A and B is √(Molar mass of B)/(Molar mass of A) = √(72/128) = √(9/16) = 3/4.

After 10 seconds:
- The ratio of the number of moles of A and B left in the container after 10 seconds is the square of the ratio of the rates of diffusion.
- (3/4)^2 = 9/16.
Therefore, the ratio of the number of moles of A and B left in the container after 10 seconds is 9:16, which simplifies to 7:9. Hence, the correct answer is option 'A' (7/9).
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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.Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:a)7/9b)2/3c)8/11d)9/13Correct answer is option 'A'. 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.Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:a)7/9b)2/3c)8/11d)9/13Correct answer is option 'A'. 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.Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:a)7/9b)2/3c)8/11d)9/13Correct answer is option 'A'. 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.Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:a)7/9b)2/3c)8/11d)9/13Correct answer is option 'A'. Can you explain this answer?.
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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.Ratio of the number of moles of A and B left in the container after 10 seconds from the diffusion starts is:a)7/9b)2/3c)8/11d)9/13Correct answer is option 'A'. 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