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Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).
Passage I
Volume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.
Q. Total volume of molecules contained in one mole of the gas is
- a)22400 cm3
- b)3.721 x 10-22 cm3
- c)4 .65 x 10-23 cm3
- d)20.1 8cm3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction (Q. Nos. 16-19) This section contains a paragraph, wach desc...
Volume of single molecule = 4/3π(r)3
= 4/3×π×(200×10-12)3 m3
V = 3.349×10-29 m3
Volume of 1 mole (NA molecules) = 3.349×10-29 m3×6.022×1023
= 2.016×10-5 m3
= 2.016×10-5×106 cm3 or 20.16 cm3
= 4/3×π×(200×10-12)3 m3
V = 3.349×10-29 m3
Volume of 1 mole (NA molecules) = 3.349×10-29 m3×6.022×1023
= 2.016×10-5 m3
= 2.016×10-5×106 cm3 or 20.16 cm3
Most Upvoted Answer
Direction (Q. Nos. 16-19) This section contains a paragraph, wach desc...
Volume of single molecule = 4/3π(r)3
= 4/3×π×(200×10-12)3 m3
V = 3.349×10-29 m3
Volume of 1 mole (NA molecules) = 3.349×10-29 m3×6.022×1023
= 2.016×10-5 m3
= 2.016×10-5×106 cm3 or 20.16 cm3
= 4/3×π×(200×10-12)3 m3
V = 3.349×10-29 m3
Volume of 1 mole (NA molecules) = 3.349×10-29 m3×6.022×1023
= 2.016×10-5 m3
= 2.016×10-5×106 cm3 or 20.16 cm3
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Community Answer
Direction (Q. Nos. 16-19) This section contains a paragraph, wach desc...
Understanding the Volume of N2 Gas Molecules
To determine the total volume occupied by one mole of N2 gas molecules, we start with the molecular properties and calculations involved.
Key Information:
- Molecular Radius: The radius of an N2 molecule is given as 200 pm (picometers), which is equal to 200 x 10^-12 meters.
- Molecular Volume Calculation: The volume of a single spherical molecule can be calculated using the formula for the volume of a sphere: V = (4/3)πr^3.
Calculating the Volume of One Molecule:
1. Convert Radius to Centimeters:
- 200 pm = 200 x 10^-10 cm = 2 x 10^-8 cm.
2. Calculate Volume of One Molecule:
- V = (4/3)π(2 x 10^-8 cm)^3.
- V ≈ (4/3)π(8 x 10^-24) cm^3.
- V ≈ 3.35 x 10^-23 cm^3 per molecule.
Calculating Volume for One Mole of Molecules:
- Avogadro's Number: One mole of any substance contains approximately 6.022 x 10^23 molecules.
3. Total Volume Calculation:
- Total volume for one mole = Volume of one molecule x Avogadro's number.
- Total volume = (3.35 x 10^-23 cm^3) x (6.022 x 10^23) ≈ 20.1 cm^3.
Conclusion:
Thus, the total volume occupied by one mole of N2 gas molecules is approximately 20.18 cm^3, confirming that option D is correct. This illustrates how the actual volume occupied by gas molecules is minimal compared to the volume of the gas they create in a container.
To determine the total volume occupied by one mole of N2 gas molecules, we start with the molecular properties and calculations involved.
Key Information:
- Molecular Radius: The radius of an N2 molecule is given as 200 pm (picometers), which is equal to 200 x 10^-12 meters.
- Molecular Volume Calculation: The volume of a single spherical molecule can be calculated using the formula for the volume of a sphere: V = (4/3)πr^3.
Calculating the Volume of One Molecule:
1. Convert Radius to Centimeters:
- 200 pm = 200 x 10^-10 cm = 2 x 10^-8 cm.
2. Calculate Volume of One Molecule:
- V = (4/3)π(2 x 10^-8 cm)^3.
- V ≈ (4/3)π(8 x 10^-24) cm^3.
- V ≈ 3.35 x 10^-23 cm^3 per molecule.
Calculating Volume for One Mole of Molecules:
- Avogadro's Number: One mole of any substance contains approximately 6.022 x 10^23 molecules.
3. Total Volume Calculation:
- Total volume for one mole = Volume of one molecule x Avogadro's number.
- Total volume = (3.35 x 10^-23 cm^3) x (6.022 x 10^23) ≈ 20.1 cm^3.
Conclusion:
Thus, the total volume occupied by one mole of N2 gas molecules is approximately 20.18 cm^3, confirming that option D is correct. This illustrates how the actual volume occupied by gas molecules is minimal compared to the volume of the gas they create in a container.
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Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer?.
Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer?.
Solutions for Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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ample number of questions to practice Direction (Q. Nos. 16-19) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).Passage IVolume occupied by molecules is negligible compared to total volume of molecules. We have N2 gas molecules assuming them spherical of radius 200 pm.Q.Total volume of molecules contained in one mole of the gas isa)22400 cm3b)3.721 x 10-22 cm3c)4 .65 x 10-23 cm3d)20.1 8cm3Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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