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Kinetic molecular theory of gases

At 400 {~K}, the root mean square (rms) speed of a gas X (mole

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Solving time: 3 mins

At $400 K$ , the root mean square (rms) speed of a gas $X$ (molecular weight $= 40 u$ ) is equal to the most probable speed of gas $Y$ at $60 K$ . The molecular weight of the gas $Y$ is (in $u$ ):

Name: Video solution 1: At 400 K, the root mean square (rms) speed of a gas X (molecular weight =40u) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is (in u):
Uploaded: 2022-08-04T04:17:34.000Z
Duration: 3 min
Description: Video solution 1: At 400 K, the root mean square (rms) speed of a gas X (molecular weight =40u) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is (in u):

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Updated on: Aug 4, 2022

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400 K

, the root mean square (rms) speed of a gas

X

(molecular weight

= 40 u

) is equal to the most probable speed of gas

Y

60 K

. The molecular weight of the gas

Y

is (in

u

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Given,

u_{r . m . s} = u_{m . p . s}

\Rightarrow \frac{3 RT}{M ( X )} = \frac{2 RT}{M ( Y )}

\Rightarrow \frac{3 R \times 400}{40} = \frac{2 R \times 60}{M ( Y )}

\Rightarrow M (Y) = 4 u .

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Question Text	At $400 K$ , the root mean square (rms) speed of a gas $X$ (molecular weight $= 40 u$ ) is equal to the most probable speed of gas $Y$ at $60 K$ . The molecular weight of the gas $Y$ is (in $u$ ):
Updated On	Aug 4, 2022
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	136
Avg. Video Duration	3 min

At $400 K$ , the root mean square (rms) speed of a gas $X$ (molecular weight $= 40 u$ ) is equal to the most probable speed of gas $Y$ at $60 K$ . The molecular weight of the gas $Y$ is (in $u$ ):

Text solutionVerified

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At 400 K, the root mean square (rms) speed of a gas X (molecular weight =40u) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is (in u):

Text solutionVerified

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At $400 K$ , the root mean square (rms) speed of a gas $X$ (molecular weight $= 40 u$ ) is equal to the most probable speed of gas $Y$ at $60 K$ . The molecular weight of the gas $Y$ is (in $u$ ):