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Kinetic molecular theory of gases

Which of the following statement(s) is(are) correct regarding

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Solving time: 3 mins

Which of the following statement(s) is(are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(E_{av})$ of a molecule in a gas at equilibrium?

Name: Video solution 1: Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms ) and average translational kinetic energy (Eav) of a molecule in a gas at equilibrium?
Uploaded: 2022-08-09T04:46:16.000Z
Duration: 3 min
Description: Video solution 1: Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms ) and average translational kinetic energy (Eav) of a molecule in a gas at equilibrium?

SELECT MULTIPLE OPTION

U_{rms}

is inversely proportional to the square root of its molecular mass

U_{rms}

is doubled when its temperature is increased four times

E_{av}

is doubled when its temperature is increased four times

E_{av}

at a given temperature does not depend on its molecular mass

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Updated on: Aug 9, 2022

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Which of the following statement(s) is(are) correct regarding the root mean square speed

(U_{rms})

and average translational kinetic energy

(E_{av})

of a molecule in a gas at equilibrium?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

(a, b, d)

The explanation of given statements are as follows:
(a)

U_{r m s}

is inversely proportional to the square root of its molecular mass.

U_{rms} = \frac{3 RT}{M}

Hence, option (a) is correct.
(b) When temperature is increased four times then

U_{rms}

become doubled.

U_{rms} = \frac{3 R}{M} \times 4 T

U_{rms} = 2 \times \frac{3 RT}{M}

Hence, option (b) is correct.
(c) and (d)

E_{a v}

is directly proportional to temperature but does not depends on its molecular mass at a given temperature as

E_{av} = \frac{3}{2} K T

. If temperature raised four times than

E_{av}

becomes four time multiple. Thus, option (c) is incorrect and option (d) is correct.

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Question Text	Which of the following statement(s) is(are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(E_{av})$ of a molecule in a gas at equilibrium?
Updated On	Aug 9, 2022
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	190
Avg. Video Duration	3 min

Which of the following statement(s) is(are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(E_{av})$ of a molecule in a gas at equilibrium?

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Which of the following statement(s) is(are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(E_{av})$ of a molecule in a gas at equilibrium?