Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 11

Physics

Thermal properties of Matter

Ideal gas, Kinetic theory of gases

Consider an ideal gas confined in an isolated closed chamber.

Question

Medium

Solving time: 3 mins

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^{q}$ , where $V$ is the volume of the gas. The value of $q$ is $(γ = \frac{C _{p}}{C _{V}})$
(a) $\frac{3 γ + 5}{6}$
(b) $\frac{3 γ - 5}{6}$
(c) $\frac{γ + 1}{2}$
(d) $\frac{γ - 1}{2}$

Name: Video solution 1: Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as Vq, where V is the volume of the gas. The value of q is (γ=CVCp)(a) 63γ+5(b) 63γ−5(c) 2γ+1(d) 2γ−1
Uploaded: 2023-05-02T17:55:16.000Z
Duration: 22 min
Description: Video solution 1: Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as Vq, where V is the volume of the gas. The value of q is (γ=CVCp)(a) 63γ+5(b) 63γ−5(c) 2γ+1(d) 2γ−1

Views: 5,388 students

Updated on: May 2, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2015

Found 5 tutors discussing this question

Asher Discussed

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as

V^{q}

, where

V

is the volume of the gas. The value of

q

(γ = \frac{C _{p}}{C _{V}})

(a)

\frac{3 γ + 5}{6}

(b)

\frac{3 γ - 5}{6}

(c)

\frac{γ + 1}{2}

(d)

\frac{γ - 1}{2}

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Exp. (c)
For an adiabatic process

T V^{γ - 1} =

constant.
We know that average time of collision between molecules

τ = \frac{1}{nπ 2 v _{ms} d ^{2}}

where,

n =

number of molecules per unit volume

v_{rms} = rms

velocity of molecules
As

n \propto \frac{1}{V}

τ \propto \frac{V}{T}

Thus, we can write

n = K_{1} V^{- 1}

and

V_{rms} = K_{2} T^{1/2}

where,

K_{1}

and

K_{2}

are constants.
For adiabatic process,

T N^{γ - 1} =

constant. Thus, we can write
or

τ \propto V T^{- 1/2} \propto V (V^{1 - Y})^{- 1/2}

τ \propto V^{\frac{γ + 1}{2}}

Was this solution helpful?

Report

Filo tutor solutions (2)

Learn from their 1-to-1 discussion with Filo tutors.

22 mins

Uploaded on: 5/2/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Sohit Kumar Mishra

Total classes on Filo by this tutor - 1,085

Teaches : Physics, Biology, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

150

Report

5 mins

Uploaded on: 1/23/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Rahul Raj

Total classes on Filo by this tutor - 8,782

Teaches : Physics, Mathematics, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

130

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^{q}$ , where $V$ is the volume of the gas. The value of $q$ is $(γ = \frac{C _{p}}{C _{V}})$ (a) $\frac{3 γ + 5}{6}$ (b) $\frac{3 γ - 5}{6}$ (c) $\frac{γ + 1}{2}$ (d) $\frac{γ - 1}{2}$
Updated On	May 2, 2023
Topic	Thermal properties of Matter
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	310
Avg. Video Duration	13 min

Text solutionVerified

Filo tutor solutions (2)

Questions from JEE Mains 2015 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Thermal properties of Matter in the same exam

Practice more questions from Thermal properties of Matter

Practice questions on similar concepts asked by Filo students

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as Vq, where V is the volume of the gas. The value of q is (γ=CV​Cp​​)(a) 63γ+5​(b) 63γ−5​(c) 2γ+1​(d) 2γ−1​

Text solutionVerified

Filo tutor solutions (2)

Questions from JEE Mains 2015 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Thermal properties of Matter in the same exam

Practice more questions from Thermal properties of Matter

Practice questions on similar concepts asked by Filo students

Related books for questions on Thermal properties of Matter

Previous year question papers