For gaseous state, if most probable speed is denoted by C * , average speed by C ̄ and root mean square speed by C, then for a large number of molecules the ratios of these speeds are

C * = most probable speed = 2 R T M C ̄ = average speed = 8 R T π M C = Root mean square speed or rms = 3 R T M C * < C ̄ < C C * : C ̄ : C = 1 : 4 π : 3 2 = 1 : 1.128 : 1.225

Chemistry - Ideal Gas Question with Solution | TestHub

ChemistryIdeal GasMiscellaneous/MixedEasy2 minPYQ_2020

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For gaseous state, if most probable speed is denoted by $C^{*}$ , average speed by $\bar{C}$ and root mean square speed by C, then for a large number of molecules the ratios of these speeds are

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Solution:

$C^{*} =$ most probable speed $= \sqrt{\frac{2 R T}{M}}$

$\bar{C} =$ average speed $= \sqrt{\frac{8 R T}{π M}}$

$C =$ Root mean square speed or rms $= \sqrt{\frac{3 R T}{M}}$

$C^{*} < \bar{C} < C$

$C^{*} : \bar{C} : C = 1 : \sqrt{\frac{4}{π}} : \sqrt{\frac{3}{2}} = 1 : 1.128 : 1.225$

Stream:NTA_ABHYASSubject:ChemistryTopic:Ideal GasSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2020

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