JEE Exam  >  JEE Questions  >  As shown schematically in the figure, two ves... Start Learning for Free
As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)- 
  • a)
    the force causing the molecules to move across the tube is ΔnkBTS
  • b)
    force balance implies n1βvl = ΔnkBT
  • c)
    total number of molecules going across the tube per sec is 
  • d)
    rate of molecules getting transferred through the tube does not change with time 
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
As shown schematically in the figure, two vessels contain water soluti...
n1 >> (n1 - n2) = Δn
 
F = (n1 – n2)kBTS = ΔnkBTS (A) 

Force balance ⇒ Pressure × Area = Total number of molecules × βv 

Total number of molecules/sec = 

As Δn will decrease with time therefore rate of molecules getting transfer decreases with time.
View all questions of this test
Explore Courses for JEE exam
As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer?
Question Description
As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with Δn = (n1 - n2) << n1. When they are connected by a tube of small length l and cross-sectional area S, KMnO4 starts to diffuse from the left to the right vessel through the tube. Consider the collection of molecules to behave as dilute ideal gases and the difference in their partial pressure in the two vessels causing the diffusion. The speed v of the molecules is limited by the viscous force -βv on each molecule, where β is a constant. Neglecting all terms of the order (Δn)2, which of the following is/are correct? (kB is the Boltzmann constant)-a)the force causing the molecules to move across the tube is ΔnkBTSb)force balance implies n1βvl = ΔnkBTc)total number of molecules going across the tube per sec isd)rate of molecules getting transferred through the tube does not change with timeCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev