NEET Exam > NEET Questions > A certain gas takes four times as long to eff...
Start Learning for Free
A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will be
- a)8
- b)16
- c)32
- d)64
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A certain gas takes four times as long to effuse out as helium under s...
Most Upvoted Answer
A certain gas takes four times as long to effuse out as helium under s...
Effusion is the process of gas molecules escaping through a small hole into a vacuum. The rate of effusion is dependent on the molecular mass of the gas, with lighter gases effusing more quickly than heavier gases.
Given that the gas in question takes four times as long to effuse as helium, we can set up the following equation:
rate of effusion of gas / rate of effusion of helium = √(Mhelium / Mgas)
where M is the molecular mass of the gas.
Squaring both sides and rearranging, we get:
Mgas = (Mhelium / 4)
We know that the molecular mass of helium is 4 g/mol, so substituting that into the equation gives us:
Mgas = (4 g/mol / 4) = 1 g/mol
However, the answer choices are given in terms of powers of 2, so we need to convert 1 g/mol to a power of 2.
1 g/mol = 1 * (10^-3 kg/mol) / (6.02 * 10^23 mol^-1)
= 1.66 * 10^-27 kg/molecule
Taking the logarithm base 2 of this number gives us:
log2(1.66 * 10^-27) = -89
Rounding to the nearest power of 2, we get 64, which is the correct answer.
Therefore, the molecular mass of the gas is 64 g/mol.
Given that the gas in question takes four times as long to effuse as helium, we can set up the following equation:
rate of effusion of gas / rate of effusion of helium = √(Mhelium / Mgas)
where M is the molecular mass of the gas.
Squaring both sides and rearranging, we get:
Mgas = (Mhelium / 4)
We know that the molecular mass of helium is 4 g/mol, so substituting that into the equation gives us:
Mgas = (4 g/mol / 4) = 1 g/mol
However, the answer choices are given in terms of powers of 2, so we need to convert 1 g/mol to a power of 2.
1 g/mol = 1 * (10^-3 kg/mol) / (6.02 * 10^23 mol^-1)
= 1.66 * 10^-27 kg/molecule
Taking the logarithm base 2 of this number gives us:
log2(1.66 * 10^-27) = -89
Rounding to the nearest power of 2, we get 64, which is the correct answer.
Therefore, the molecular mass of the gas is 64 g/mol.
Free Test
FREE
| Start Free Test |
Community Answer
A certain gas takes four times as long to effuse out as helium under s...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer?
Question Description
A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. 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 A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer?.
A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. 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 A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer?.
Solutions for A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A certain gas takes four times as long to effuse out as helium under similar conditions. The molecular mass of gas will bea)8b)16c)32d)64Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup