Use app×
QUIZARD
QUIZARD
JEE MAIN 2026 Crash Course
NEET 2026 Crash Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
275 views
in Kinetic Theory by (33.8k points)
closed by

Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take the diameter of an oxygen molecule to be 3Å.

1 Answer

+2 votes
by (35.6k points)
selected by
 
Best answer

Consider one mole of oxygen gas at STP. It occupies 22.4 litre of volume which will contain 6.023 × 1023. (ie. Avogadro number) molecules. Considering spherical shape of molecule, volume of oxygen molecule

Volume of 6.023 × 1023 molecules

= 4/3 × 3.142(1.5)3 × 10-30 × 6.02 × 1023 m3

= 85.1 × 10-7m3

= 8.51 × 10-6m3 = 8.51 × 10-3

litre Molecular volume of one mole of oxygen (∵ 1m3 = 103 litre)

∴ Molecular volume of one mole of oxygen = 8.51 × 10-3 litre

Actual volume occupied by one mole of oxygen at STP = 22.4 litre

Fraction of molecular volume to actual volume

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...