The ratio of rates of diffusion of SO 2- O 2 andCH 4 is -A- 1- -2- 2B- 1- 2- 4C- 2- -2- 1D- 1- 2- -2

The correct option is A r_SO_2 : r_O_2 : r_CH_4 = 1/√(M_SO_2) : 1/√(M_O_2) : 1/√(M_CH_4) ⇒1/√(64:32:16)⇒1/√(4:2:1)⇒1/2 : 1/√(2) : 1/1⇒ nbsp;1:√(2) : 2 ...

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Standard XI

Mathematics

Fundamental Laws of Logarithms

The ratio of ...

Question

The ratio of rates of diffusion of $S O_{2}, O_{2} a n d C H_{4}$ is __.

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Solution

The correct option is A

$r_{S O_{2}} : r_{O_{2}} : r_{C H_{4}} = \frac{1}{\sqrt{M_{S O_{2}}}} : \frac{1}{\sqrt{M_{O_{2}}}} : \frac{1}{\sqrt{M_{C H_{4}}}}$

$\Rightarrow \frac{1}{\sqrt{64 : 32 : 16}} \Rightarrow \frac{1}{\sqrt{4 : 2 : 1}} \Rightarrow \frac{1}{2} : \frac{1}{\sqrt{2}} : \frac{1}{1} \Rightarrow 1 : \sqrt{2} : 2$

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The ratio of rates of diffusion of SO2,O2andCH4 is __.

The correct option is A rSO2:rO2:rCH4=1√MSO2:1√MO2:1√MCH4 ⇒1√64:32:16⇒1√4:2:1⇒12:1√2:11⇒1:√2:2

The ratio of rates of diffusion of $S O_{2}, O_{2} a n d C H_{4}$ is __.