Class 11 Exam > Class 11 Questions > Assuming that O2molecule is spherical in shap...
Start Learning for Free
Assuming that O2 molecule is spherical in shape with radius 2Å, the percentage of the volume of O2 molecules to the total volume of gas at S.T.P. is :
- a)0.09%
- b)0.0009%
- c)0.009%
- d)0.045%
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Assuming that O2molecule is spherical in shape with radius 2Å, th...
Most Upvoted Answer
Assuming that O2molecule is spherical in shape with radius 2Å, th...
Understanding the Volume of O2 Molecules
To determine the percentage of the volume of O2 molecules to the total volume of gas at Standard Temperature and Pressure (S.T.P.), we need to follow these steps:
1. Volume of a Single O2 Molecule
- The volume of a sphere is calculated using the formula:
Volume = (4/3) * π * r³
- Given the radius (r) of the O2 molecule is 2 Å (angstroms), we convert this to meters:
1 Å = 1 x 10^-10 m, thus r = 2 x 10^-10 m.
- Calculating the volume:
Volume = (4/3) * π * (2 x 10^-10)³ ≈ 3.35 x 10^-29 m³.
2. Molar Volume at S.T.P.
- At S.T.P., the volume of one mole of gas is 22.4 liters or 22.4 x 10^-3 m³.
- This means 1 mole of any gas occupies a volume of approximately 22.4 x 10^-3 m³.
3. Number of Molecules in 1 Mole of Gas
- Avogadro's number (NA) states that 1 mole contains approximately 6.022 x 10^23 molecules.
4. Total Volume of O2 Molecules in 1 Mole
- Total volume of O2 molecules = Volume of one molecule x Number of molecules in a mole
- Total volume = (3.35 x 10^-29 m³) x (6.022 x 10^23) ≈ 2.01 x 10^-5 m³.
5. Percentage of O2 Volume to Total Volume
- Percentage = (Volume of O2 molecules / Molar volume) x 100
- Percentage = (2.01 x 10^-5 / 22.4 x 10^-3) x 100 ≈ 0.09%.
Conclusion
- Therefore, the percentage of the volume of O2 molecules to the total volume of gas at S.T.P. is approximately 0.09%, confirming that option 'A' is correct.
To determine the percentage of the volume of O2 molecules to the total volume of gas at Standard Temperature and Pressure (S.T.P.), we need to follow these steps:
1. Volume of a Single O2 Molecule
- The volume of a sphere is calculated using the formula:
Volume = (4/3) * π * r³
- Given the radius (r) of the O2 molecule is 2 Å (angstroms), we convert this to meters:
1 Å = 1 x 10^-10 m, thus r = 2 x 10^-10 m.
- Calculating the volume:
Volume = (4/3) * π * (2 x 10^-10)³ ≈ 3.35 x 10^-29 m³.
2. Molar Volume at S.T.P.
- At S.T.P., the volume of one mole of gas is 22.4 liters or 22.4 x 10^-3 m³.
- This means 1 mole of any gas occupies a volume of approximately 22.4 x 10^-3 m³.
3. Number of Molecules in 1 Mole of Gas
- Avogadro's number (NA) states that 1 mole contains approximately 6.022 x 10^23 molecules.
4. Total Volume of O2 Molecules in 1 Mole
- Total volume of O2 molecules = Volume of one molecule x Number of molecules in a mole
- Total volume = (3.35 x 10^-29 m³) x (6.022 x 10^23) ≈ 2.01 x 10^-5 m³.
5. Percentage of O2 Volume to Total Volume
- Percentage = (Volume of O2 molecules / Molar volume) x 100
- Percentage = (2.01 x 10^-5 / 22.4 x 10^-3) x 100 ≈ 0.09%.
Conclusion
- Therefore, the percentage of the volume of O2 molecules to the total volume of gas at S.T.P. is approximately 0.09%, confirming that option 'A' is correct.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer?
Question Description
Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer?.
Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer?.
Solutions for Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assuming that O2molecule is spherical in shape with radius 2Å, the percentage of the volume of O2molecules to the total volume of gas at S.T.P. is :a)0.09%b)0.0009%c)0.009%d)0.045%Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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