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Rank the following atoms and molecules based on which would effuse the fastest. i) H2  ii) He iii) N2 iv) CO2 v) H2S

Question – Rank the following atoms and molecules based on which would effuse the fastest.

i) H2 

ii) He

iii) N2

iv) CO2

v) H2S

Solution –

Molecular mass of H2 = 1 x 2 = 2

Molecular mass of He = 4

Molecular mass of N2 = 2 x 14 = 28

Molecular mass of CO2 = 12+ 16 = 44

Molecular mass of H2S = 2 x 1 + 32 = 34

Effusion of gases also depends upon their molecular mass at constant temperature and pressure. According to Graham’s law ,

r1 / r2 = √ M2/M1

r ∝ 1 / √ M

Hence gas with lowest molecular mass will effuse faster.

Decreasing order of molecular mass of gases is,

CO2 , H2S, N2 , He , H2

Decreasing order of rate of effusion ,

H2 , He , N­2 , H2S , CO2

H2 will effuse fastest and Co2 will effuse slowest.

 

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