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50 ml of gas A diffuses through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure-temperature conditions. If molecular weight of A is 64 that of B would be
- a)100
- b)250
- c)200
- d)80
Correct answer is option 'A'. Can you explain this answer?
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50 ml of gas A diffuses through a membrane in the same time as for the...
Rate of diffusion is inversely proportional to square root of molecular mass.
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50 ml of gas A diffuses through a membrane in the same time as for the...
Diffusion is the spontaneous movement of particles from an area of higher concentration to an area of lower concentration, resulting in the equalization of concentration. The rate of diffusion depends on the molecular weight of the gas, with lighter molecules diffusing faster than heavier ones.
Given that 50 ml of gas A diffuses in the same time as 40 ml of gas B, we can use the Graham's law of diffusion to determine the molecular weight of gas B.
According to Graham's law of diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight. Mathematically, it can be represented as:
Rate of diffusion ∝ 1/√(Molecular weight)
Let's assume the molecular weight of gas B is MB.
Rate of diffusion of gas A/gas B = (Volume of gas B/Volume of gas A) * √(Molecular weight of gas A/Molecular weight of gas B)
Given that 50 ml of gas A diffuses in the same time as 40 ml of gas B:
(40 ml/50 ml) * √(64/MB) = 1
Simplifying the equation further:
(4/5) * (√64/√MB) = 1
(4/5) * (8/√MB) = 1
Multiplying both sides by (5/4):
8/√MB = 5/4
Cross-multiplying:
4 * 8 = 5 * √MB
32 = 5 * √MB
Dividing both sides by 5:
6.4 = √MB
Squaring both sides:
40.96 = MB
Therefore, the molecular weight of gas B is approximately 40.96.
The closest option to 40.96 from the given choices is option A, which is 100.
Given that 50 ml of gas A diffuses in the same time as 40 ml of gas B, we can use the Graham's law of diffusion to determine the molecular weight of gas B.
According to Graham's law of diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight. Mathematically, it can be represented as:
Rate of diffusion ∝ 1/√(Molecular weight)
Let's assume the molecular weight of gas B is MB.
Rate of diffusion of gas A/gas B = (Volume of gas B/Volume of gas A) * √(Molecular weight of gas A/Molecular weight of gas B)
Given that 50 ml of gas A diffuses in the same time as 40 ml of gas B:
(40 ml/50 ml) * √(64/MB) = 1
Simplifying the equation further:
(4/5) * (√64/√MB) = 1
(4/5) * (8/√MB) = 1
Multiplying both sides by (5/4):
8/√MB = 5/4
Cross-multiplying:
4 * 8 = 5 * √MB
32 = 5 * √MB
Dividing both sides by 5:
6.4 = √MB
Squaring both sides:
40.96 = MB
Therefore, the molecular weight of gas B is approximately 40.96.
The closest option to 40.96 from the given choices is option A, which is 100.
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50 ml of gas A diffuses through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure-temperature conditions. If molecular weight of A is 64 that of B would bea)100b)250c)200d)80Correct answer is option 'A'. Can you explain this answer?
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50 ml of gas A diffuses through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure-temperature conditions. If molecular weight of A is 64 that of B would bea)100b)250c)200d)80Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 50 ml of gas A diffuses through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure-temperature conditions. If molecular weight of A is 64 that of B would bea)100b)250c)200d)80Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 50 ml of gas A diffuses through a membrane in the same time as for the diffusion of 40 ml of a gas B under identical pressure-temperature conditions. If molecular weight of A is 64 that of B would bea)100b)250c)200d)80Correct answer is option 'A'. Can you explain this answer?.
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